NEWDIA "SS000015.SIT",""CALLOUT -1.020469e-02,-3.342304e-03,-1.020469e-02,-3.342304e-03,ff0000,0,40ff0000,ffffffc0,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il Transito di Veneree la misura del mondoWAITKEYDELCALLOUT Il Transito di Venere e la misura del mondoPAUSE 0.3 sCALLOUT -1.109360e-02,-7.004615e-03,-1.109360e-02,-7.004615e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il primo passo per misurare il nostrouniverso parte certamente dalla ricerca delle dimensioni del nostro pianeta....PAUSE 3 sCALLOUT -1.127139e-02,3.164522e-03,-1.127139e-02,3.164522e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... dalla ricerca di una misura che non fosse basata su racconti e leggende, ma derivata da dati tangibili e quanto pi dimostrabili......PAUSE 2 sCALLOUT 1.283587e-02,7.644631e-03,1.283587e-02,7.644631e-03,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT PgDnDELCALLOUT Il primo passo per misurare il nostrouniverso parte certamente dalla ricerca delle dimensioni del nostro pianeta....DELCALLOUT ... dalla ricerca di una misura che non fosse basata su racconti e leggende, ma derivata da dati tangibili e quanto pi dimostrabili......PAUSE 0.3 sCALLOUT -1.066693e-02,-7.182397e-03,-1.066693e-02,-7.182397e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,La prima misura "scientifica" del raggio della Terrafu proposta nel III sec. a.C.da CALLOUT -9.849129e-03,-5.760140e-03,-6.222374e-03,-5.475689e-03,ff0000,0,ff0000,fffffff0,0,0,0,2bc,1,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,ERATOSTENECALLOUT -1.070248e-02,-5.084568e-03,-1.070248e-02,-5.084568e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,direttore della biblioteca di AlessandriaSHOWJPG 6.577938e-03,-7.537962e-03,6.577938e-03,-7.537962e-03,40000000,eratostene.jpgPAUSE 1 sCALLOUT -2.204498e-03,-1.777821e-04,-2.204498e-03,-1.777821e-04,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,AlessandriaCALLOUT 7.466849e-04,-6.755720e-04,7.466849e-04,-6.755720e-04,ff0000,0,40ff0000,ffffffe0,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.PAUSE 1 sCALLOUT 1.134250e-02,6.684607e-03,1.134250e-02,6.684607e-03,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT C:\astronomia\Perseus\SCRIPT\eratostene.jpgINTERPOLATE 5 s,DELETECALLOUTS,LINEARNEWDIA "SS000011.SIT",""CALLOUT 5.241213e-03,-4.118096e-03,5.241213e-03,-4.118096e-03,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT 1.016154e-03,-3.904169e-03,1.016154e-03,-3.904169e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,AlessandriaPAUSE 1 sCALLOUT -1.615149e-02,-1.005457e-02,-1.615149e-02,-1.005457e-02,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Eratostene sapeva che a Siene (attuale Assuan),nel giorno del Solstizio Estivo, il fondo dei profondipozzi veniva illuminato dal Sole ....CALLOUT 5.615585e-03,-3.422833e-03,5.615585e-03,-3.422833e-03,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT 3.690242e-03,-2.620606e-03,3.690242e-03,-2.620606e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,SienePAUSE 3 sCALLOUT -1.834425e-02,-1.283562e-03,-1.834425e-02,-1.283562e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... questo significa che la luce solarearriva a terra perpendicolarmente ...CALLOUT 1.716765e-02,1.021502e-02,1.716765e-02,1.021502e-02,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT .DELCALLOUT AlessandriaDELCALLOUT Eratostene sapeva che a Siene (attuale Assuan),nel giorno del Solstizio Estivo, il fondo dei profondipozzi veniva illuminato dal Sole ....DELCALLOUT .DELCALLOUT SieneDELCALLOUT ... questo significa che la luce solarearriva a terra perpendicolarmente ...INTERPOLATE 0 s,DELETECALLOUTS,LINEARNEWDIA "SS000021.SIT",""INTERPOLATE 5 s,DELETECALLOUTS,LINEARNEWDIA "SS000016.SIT",""CALLOUT -4.491423e-04,-5.200595e-04,-4.491423e-04,-5.200595e-04,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT -2.529380e-03,-3.309470e-04,-2.505741e-03,-3.309470e-04,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,AlessandriaCALLOUT -4.727814e-05,7.091721e-05,-4.727814e-05,7.091721e-05,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT -8.037284e-04,5.200595e-04,-8.037284e-04,5.200595e-04,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,SienePAUSE 3 sCALLOUT 7.091721e-05,6.146158e-04,9.408350e-03,-4.113198e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 4.727814e-05,6.146158e-04,-6.098880e-03,3.734973e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 0.000000e+00,4.727814e-04,9.455628e-03,-4.373228e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.418344e-04,7.328112e-04,9.361072e-03,-3.876807e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -4.727814e-05,3.309470e-04,9.384711e-03,-4.538701e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.418344e-04,1.654735e-04,9.455628e-03,-4.775092e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -3.545860e-04,2.363907e-05,9.455628e-03,-5.058761e-03,ffff00,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 6.595301e-03,-4.113198e-03,6.595301e-03,-4.113198e-03,ffff00,0,40ffff00,ffffffeb,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Luce SolarePAUSE 1.5 sCALLOUT -6.311632e-03,-5.106039e-03,-6.311632e-03,-5.106039e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Ad Alessandria, lo stesso giorno, un'alta torreproiettava a terra un'ombra corrispondente adun angolo di 712'PAUSE 5 sCALLOUT -3.782251e-04,2.363907e-05,7.942728e-03,-5.389708e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -3.545860e-04,2.363907e-05,-7.729976e-03,4.940566e-03,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 2.529380e-03,-1.938404e-03,2.529380e-03,-1.938404e-03,ffff00,0,40ff0000,fffffff0,0,0,0,190,0,22010203,61697241,6172006c,32346870,54422031,0,0,0,0,)CALLOUT 2.694854e-03,-2.269351e-03,2.694854e-03,-2.269351e-03,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,712'PAUSE 1.5 sCALLOUT 1.300149e-03,3.782251e-04,1.300149e-03,3.782251e-04,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Assumendo che la Terra sia sferica,la differenza da imputarsi alla diversaprospettiva di osservazione del Sole...PAUSE 3 sCALLOUT 1.371066e-03,2.363907e-03,1.371066e-03,2.363907e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... l'angolo trovato sar quindi la distanza angolare tra Alessandriae Siene.PAUSE 2 sCALLOUT -2.576659e-03,1.465622e-03,-2.576659e-03,1.465622e-03,0,0,40ffff00,ffffffeb,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,712'CALLOUT -2.789410e-03,1.512900e-03,-2.789410e-03,1.512900e-03,0,0,40ffff00,ffffffeb,0,0,0,190,0,22010203,61697241,6172006c,32346870,54422031,0,0,0,0,)CALLOUT 8.202757e-03,4.656897e-03,8.202757e-03,4.656897e-03,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Ad Alessandria, lo stesso giorno, un'alta torreproiettava a terra un'ombra corrispondente adun angolo di 712'DELCALLOUT Assumendo che la Terra sia sferica,la differenza da imputarsi alla diversaprospettiva di osservazione del Sole...DELCALLOUT ... l'angolo trovato sar quindi la distanza angolare tra Alessandriae Siene.DELCALLOUT PgDnDELCALLOUT Luce SolarePAUSE 0.5 sCALLOUT -6.548022e-03,-4.987844e-03,-6.548022e-03,-4.987844e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,L'agolo trovato corrisponde ad 1/50 dell'angolo giro (360)e quindi ad 1/50 della circonferenza terrestre ...PAUSE 2 sCALLOUT 1.371066e-03,1.654735e-04,1.371066e-03,1.654735e-04,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Le stime della distanza tra le due citt era di circa 5000 stadi. La circonferenza terrestre quindi risultava essere di CALLOUT -3.545860e-04,2.363907e-05,4.727814e-05,6.146158e-04,ff0000,0,40000000,ffffffe5,0,0,0,190,0,22010203,61697241,614e206c,776f7272,54422000,0,0,0,0,CALLOUT -3.309470e-04,7.091721e-05,2.363907e-05,5.909767e-04,ff0000,0,40000000,ffffffe5,0,0,0,190,0,22010203,61697241,614e206c,776f7272,54422000,0,0,0,0,CALLOUT -3.545860e-04,4.727814e-05,2.363907e-05,6.146158e-04,ff0000,0,40000000,ffffffe5,0,0,0,190,0,22010203,61697241,614e206c,776f7272,54422000,0,0,0,0,CALLOUT -3.545860e-04,7.091721e-05,2.363907e-05,6.382549e-04,ff0000,0,40000000,ffffffe5,0,0,0,190,0,22010203,61697241,614e206c,776f7272,54422000,0,0,0,0,CALLOUT -8.037284e-04,1.654735e-04,-8.037284e-04,1.654735e-04,0,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,5.000CALLOUT 1.914765e-03,2.292990e-03,1.914765e-03,2.292990e-03,ff0000,0,40ffff00,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,5.000 x 50 = 250.000 stadiCALLOUT 7.753615e-03,4.680536e-03,7.753615e-03,4.680536e-03,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT L'agolo trovato corrisponde ad 1/50 dell'angolo giro (360)e quindi ad 1/50 della circonferenza terrestre ...DELCALLOUT Le stime della distanza tra le due citt era di circa 5000 stadi. La circonferenza terrestre quindi risultava essere di DELCALLOUT 5.000 x 50 = 250.000 stadiDELCALLOUT PgDnPAUSE 0.3 sCALLOUT -7.848171e-03,-5.271513e-03,-7.848171e-03,-5.271513e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Lo "stadio" un'antica misura egizia e variava, a seconda della zona e delperiodo storico, tra 154 e 215 metri....PAUSE 2 sCALLOUT 2.813049e-03,-2.363907e-04,2.836688e-03,-2.363907e-04,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Molte fonti riferiscono che Eratostene potrebbe aver usatouno stadio pari a 157 metri, da cui deriva un raggio terreste diCALLOUT 3.876807e-03,1.914765e-03,3.876807e-03,1.914765e-03,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,12.629 KmCALLOUT 1.158314e-03,3.427665e-03,1.181953e-03,3.404026e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,una misura di soli 113 km inferiore a quella odiernaCALLOUT 8.108201e-03,4.727814e-03,8.108201e-03,4.727814e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT )DELCALLOUT 712'DELCALLOUT 712'DELCALLOUT )DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT DELCALLOUT 5.000DELCALLOUT Lo "stadio" un'antica misura egizia e variava, a seconda della zona e delperiodo storico, tra 154 e 215 metri....DELCALLOUT Molte fonti riferiscono che Eratostene potrebbe aver usatouno stadio pari a 157 metri, da cui deriva un raggio terreste diDELCALLOUT 12.629 KmDELCALLOUT una misura di soli 113 km inferiore a quella odiernaDELCALLOUT PgDnPAUSE 0.3 sCALLOUT -2.009321e-03,-4.467784e-03,-2.032960e-03,-4.467784e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Una misura di questo genere non trov il favore di molti e fu giudicata esagerata tanto che Tolomeo, nel suo Almagesto usa, per il raggio terrestre, un valore di ben 2.200 km inferioe ...PAUSE 2 sCALLOUT 3.073079e-04,-1.583818e-03,3.073079e-04,-1.583818e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Questo errore si riflett nei secoli successivitanto che anche Cristoforo Colombo ne fu"vittima" progettando un viaggio molto pi corto.CALLOUT 7.611781e-03,4.184115e-03,7.611781e-03,4.184115e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT .DELCALLOUT AlessandriaDELCALLOUT .DELCALLOUT SieneDELCALLOUT Una misura di questo genere non trov il favore di molti e fu giudicata esagerata tanto che Tolomeo, nel suo Almagesto usa, per il raggio terrestre, un valore di ben 2.200 km inferioe ...DELCALLOUT Questo errore si riflett nei secoli successivitanto che anche Cristoforo Colombo ne fu"vittima" progettando un viaggio molto pi corto.DELCALLOUT PgDnPAUSE 0.3 sCALLOUT -7.304473e-03,-4.444145e-03,-7.304473e-03,-4.444145e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Sempre nello stesso secolo, un altro "astronomo" si spingeva ancora pi lontano...PAUSE 1.5 sCALLOUT -7.091721e-05,-2.978523e-03,-7.091721e-05,-2.978523e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0, Aristarco di Samo (il primo a proporre un sistema eliocentrico)osservando le fasi di una eclissi totale di Luna riusc a trovare ladistanza del nostro satellite....SHOWJPG 5.247874e-03,-1.843847e-03,5.247874e-03,-1.843847e-03,40000000,arist.jpgCALLOUT 5.767933e-03,2.931245e-03,5.767933e-03,2.931245e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Aristarco di SamoDomenico Seffi 1620CALLOUT 7.328112e-03,4.302311e-03,7.328112e-03,4.302311e-03,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT C:\astronomia\Perseus\SCRIPT\arist.jpgDELCALLOUT Aristarco di SamoDomenico Seffi 1620DELCALLOUT Sempre nello stesso secolo, un altro "astronomo" si spingeva ancora pi lontano...DELCALLOUT Aristarco di Samo (il primo a proporre un sistema eliocentrico) osservando le fasi di una eclissi totale di Luna riusc a trovare la distanza del nostro satellite....DELCALLOUT PgDnINTERPOLATE 5 s,DELETECALLOUTS,LINEARNEWDIA "SS000000.SIT",YPAUSE 0.5 sCALLOUT -7.006112e-03,4.203667e-03,3.040653e-01,-1.723504e-01,ff0000,0,40ffff80,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PAUSE 0.5 sCALLOUT -1.233076e-01,-1.639430e-01,-1.233076e-01,-1.639430e-01,ff0000,0,40ffff80,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,30 diametri terrestri.... ... circa 370.000 kmPAUSE 0.5 sCALLOUT 4.413851e-01,2.578249e-01,4.413851e-01,2.578249e-01,ff0000,0,40ffff80,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT 30 diametri terrestri.... ... circa 370.000 kmDELCALLOUT PgDnDELCALLOUT PAUSE 0.5 sCALLOUT -3.895398e-01,-2.452139e-01,-3.895398e-01,-2.452139e-01,ff0000,0,40ffff80,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Aristarco prov a spingersi ancora pi lontano ...PAUSE 1.5 sCALLOUT -4.119594e-01,-1.877638e-01,-4.119594e-01,-1.877638e-01,ff0000,0,40ffff80,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... osservando le fasi della Luna trov anche la distanza del SolePAUSE 0.5 sCALLOUT -1.709491e-01,-9.528313e-02,-1.709491e-01,-9.528313e-02,ff0000,0,40ffff80,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il risultato fu per molto deludente ....CALLOUT -2.269980e-01,8.267212e-02,-2.269980e-01,8.267212e-02,ff0000,0,40ffff80,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,7 milioni di km anzich 150 milioniCALLOUT 4.539961e-01,2.690347e-01,4.539961e-01,2.690347e-01,ff0000,0,40ffff80,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Aristarco prov a spingersi ancora pi lontano ...DELCALLOUT ... osservando le fasi della Luna trov anche la distanza del SoleDELCALLOUT Il risultato fu per molto deludente ....DELCALLOUT 7 milioni di km anzich 150 milioniDELCALLOUT PgDnPAUSE 0.3 sCALLOUT -3.783301e-01,-2.606274e-01,-3.783301e-01,-2.606274e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il secolo successivo (189 a.C) ci fu una vera e propria rivoluzione ...CALLOUT 4.259716e-01,2.382078e-01,4.259716e-01,2.382078e-01,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Il secolo successivo (189 a.C) ci fu una vera e propria rivoluzione ...PAUSE 0.5 sINTERPOLATE 3 s,DELETECALLOUTS,LINEARNEWDIA "SS000001.SIT",""PAUSE 0.5 sCALLOUT -1.127139e-02,-7.146841e-03,-1.123583e-02,-7.146841e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il grande astronomo IPPARCO DI NICEA ricalcol la distanza della Lunacon un metodo che sarebbe poi stato usato per molti secoli ...PAUSE 1.5 sCALLOUT -5.013456e-03,-1.386700e-03,-5.013456e-03,-1.386700e-03,ff0000,0,40000000,ffffffe3,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,LA PARALLASSECALLOUT 1.059581e-02,6.293487e-03,1.059581e-02,6.293487e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Il grande astronomo IPPARCO DI NICEA ricalcol la distanza della Lunacon un metodo che sarebbe poi stato usato per molti secoli ...DELCALLOUT LA PARALLASSEDELCALLOUT PgDnPAUSE 0.5 sCALLOUT -1.216030e-02,-6.862390e-03,-1.216030e-02,-6.862390e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,I nostri occhi sono distanti l'uno dall'altrocirca 10 centimetri e questo ci permette di valutare le distanze (fino a qualche centinaio di metri) ...PAUSE 3 sCALLOUT -1.130694e-02,5.013456e-03,-1.130694e-02,5.013456e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... per valutare distanze maggioriavremmo bisogno di occhi ben pi distanti, anche molte migliaia di chilometriCALLOUT 1.134250e-02,6.720164e-03,1.134250e-02,6.720164e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT I nostri occhi sono distanti l'uno dall'altro circa 10 centimetri e questo ci permette di valutare le distanze (fino a qualche centinaio di metri) ...DELCALLOUT ... per valutare distanze maggioriavremmo bisogno di occhi ben pi distanti, anche molte migliaia di chilometriDELCALLOUT PgDnPAUSE 0.5 sCALLOUT -1.041803e-02,-7.786856e-03,-1.041803e-02,-7.786856e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Su questo principio Ipparco misur la parallasse della Luna ...CALLOUT -7.786856e-03,6.293487e-03,-7.786856e-03,6.293487e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,misur cio gli angoli formati rispetto a due punti a distanza nota.SHOWJPG 6.364600e-03,-1.066693e-03,6.364600e-03,-1.066693e-03,40000000,1_02.jpgCALLOUT 1.180473e-02,6.329043e-03,1.180473e-02,6.329043e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Su questo principio Ipparco misur la parallasse della Luna ...DELCALLOUT misur cio gli angoli formati rispetto a due punti a distanza nota.DELCALLOUT PgDnPAUSE 0.5 sCALLOUT -1.148472e-02,-7.075728e-03,-1.148472e-02,-7.075728e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Ipparco osserv la Luna da Alessandria edin Ellesponto (Stretto dei Dardanelli)distante pi di 1000 chilometriPAUSE 0.5 sCALLOUT 1.884490e-03,-5.333463e-04,1.884490e-03,-5.333463e-04,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT -7.111284e-05,1.066693e-04,-7.111284e-05,1.066693e-04,ff0000,0,40000000,fffffff4,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,AlessandriaCALLOUT 1.386700e-03,-1.528926e-03,1.386700e-03,-1.528926e-03,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT -3.555642e-04,-1.244475e-03,-3.555642e-04,-1.244475e-03,ff0000,0,40000000,fffffff4,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,EllespontoCALLOUT 1.162695e-02,6.897946e-03,1.162695e-02,6.897946e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Ipparco osserv la Luna da Alessandria edin Ellesponto (Stretto dei Dardanelli)distante pi di 1000 chilometriDELCALLOUT .DELCALLOUT AlessandriaDELCALLOUT .DELCALLOUT EllespontoDELCALLOUT PgDnPAUSE 0.3 sINTERPOLATE 0 s,DELETECALLOUTS,LINEARNEWDIA "SS000023.SIT",""INTERPOLATE 5 s,DELETECALLOUTS,LINEARNEWDIA "SS000005.SIT",""PAUSE 0.5 sCALLOUT -1.424491e-01,7.865665e-02,1.845644e-01,-1.275848e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.424491e-01,7.679862e-02,1.746549e-01,-1.220107e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PAUSE 0.5 sCALLOUT -1.845644e-01,-1.133399e-01,-1.845644e-01,-1.133399e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Come possiamo vedere la difficolt nel misurare questi angoli notevole e, per spingersi oltre, dovremmo osservare da punti ancora pi lontani ...PAUSE 2 sCALLOUT -1.114819e-02,2.787047e-02,-1.114819e-02,2.787047e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Una seconda difficolt, inoltre, sincronizzareperfettamente le osservazioni........ l'orologio un'invenzione "moderna" e i pendolinon gradiscono le traversate atlantiche ....CALLOUT 1.988093e-01,1.077658e-01,1.988093e-01,1.077658e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT DELCALLOUT DELCALLOUT Come possiamo vedere la difficolt nel misurare questi angoli notevole e, per spingersi oltre, dovremmo osservare da punti ancora pi lontani ...DELCALLOUT Una seconda difficolt, inoltre, sincronizzareperfettamente le osservazioni........ l'orologio un'invenzione "moderna" e i pendolinon gradiscono le traversate atlantiche ....DELCALLOUT PgDnPAUSE 0.5 sCALLOUT -2.142929e-01,-1.282042e-01,-2.142929e-01,-1.282042e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Nel 1672 Giandomenico Cassini prov a misurare la parallasse di Marteanalizzando osservazioni fatte da Bologna ed in Cayenna(nell'attuale Guyana Francese in Sud America) ...PAUSE 2 sCALLOUT 2.539309e-02,6.255372e-02,2.539309e-02,6.255372e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Il problema del sincronismo delle osservazionifu brillantemente risolto utilizzando la posizionedei satelliti di Giove...PAUSE 7 sCALLOUT -1.151979e-01,-5.016684e-02,-7.617928e-02,-3.158653e-02,ff0000,0,ffff00,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Dalle misure di Cassini si pot dedurreuna distanza della Terra dal Sole di 140 milioni di chilometriCALLOUT 1.895192e-01,1.139592e-01,1.895192e-01,1.139592e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYNEWDIA "SS000006.SIT",""CALLOUT -1.139592e-01,-5.264422e-02,-1.139592e-01,-5.264422e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Una grossa rivoluzione nella ricerca dell'unit astronomicaci fu quando un grandissimo matematico scozzese, JAMES GREGORYpropose di usare i transiti dei pianeti interni (Mercurioe Venere) per trovare questa importantissima misura ...CALLOUT 1.969513e-01,1.139592e-01,1.969513e-01,1.139592e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Una grossa rivoluzione nella ricerca dell'unit astronomicaci fu quando un grandissimo matematico scozzese, JAMES GREGORYpropose di usare i transiti dei pianeti interni (Mercurioe Venere) per trovare questa importantissima misura ...DELCALLOUT PgDnPAUSE 0.5 sCALLOUT -1.765130e-01,-1.182947e-01,-1.765130e-01,-1.182947e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,L'interesse fondamentale per questa misuraderiva dal fatto che era possibile risalirealle distanze degli altri pianeti...PAUSE 3 sCALLOUT -9.847565e-02,-4.768947e-02,-9.847565e-02,-4.768947e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,... era possibile misurare l'universo con le misure dell'uomo, era possibile rapportarsicon tutto quello che ci circonda ...CALLOUT 1.907579e-01,1.102432e-01,1.907579e-01,1.096238e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT L'interesse fondamentale per questa misuraderiva dal fatto che era possibile risalirealle distanze degli altri pianeti...DELCALLOUT ... era possibile misurare l'universo con le misure dell'uomo, era possibile rapportarsicon tutto quello che ci circonda ...DELCALLOUT PgDnPAUSE 0.5 sCALLOUT -1.560746e-01,-7.555993e-02,-1.560746e-01,-7.555993e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Vediamo ora molto velocemente come potertrovare l'unit astronomica osservando il transito di Venere ...PAUSE 1.5 sCALLOUT -9.290156e-03,4.645078e-02,-9.290156e-03,4.645078e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.. useremo una trattazzione molto semplificata che per ci aiuta a capire senza perdersi in lunghissimi e noiosiconti matematici ....CALLOUT 1.907579e-01,1.220107e-01,1.907579e-01,1.220107e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Vediamo ora molto velocemente come potertrovare l'unit astronomica osservando il transito di Venere ...DELCALLOUT .. useremo una trattazzione molto semplificata che per ci aiuta a capire senza perdersi in lunghissimi e noiosiconti matematici ....DELCALLOUT PgDnPAUSE 0.3 sCALLOUT -9.971434e-02,-1.734162e-02,-9.971434e-02,-1.734162e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Innanzitutto premettiamo alcune "propriet" dei TRIANGOLI SIMILIPAUSE 3 sDELCALLOUT Innanzitutto premettiamo alcune "propriet" dei TRIANGOLI SIMILIPAUSE 0.5 sCALLOUT -7.927600e-02,-1.232494e-01,-7.927600e-02,-1.232494e-01,ff0000,0,40ffff00,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,TRIANGOLI SIMILICALLOUT -1.319202e-01,-9.599828e-02,-1.313009e-01,-9.599828e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Due triangoli si dicono simili quando i loro angoli sono ugualiCALLOUT -1.170560e-01,4.397340e-02,-1.170560e-01,4.397340e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Nei triangoli simili la lunghezza dei lati proporzionale ...SHOWJPG -1.455458e-01,-7.246322e-02,-1.455458e-01,-7.246322e-02,40000000,1_triangoli.jpgCALLOUT 2.012867e-01,1.207720e-01,2.012867e-01,1.207720e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Due triangoli si dicono simili quando i loro angoli sono ugualiDELCALLOUT C:\astronomia\Perseus\SCRIPT\triangoli.jpgDELCALLOUT Nei triangoli simili la lunghezza dei lati proporzionale ...DELCALLOUT PgDnCALLOUT -1.251074e-01,-9.785631e-02,-1.251074e-01,-9.785631e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Una particolare categoria di triangoli simili quella dei TRIANGOLI RETTANGOLI SIMILI in cui, cio, un angolo retto (90)CALLOUT -1.294428e-01,6.317306e-02,1.201527e-01,-3.901865e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.294428e-01,6.379240e-02,1.201527e-01,6.379240e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.201527e-01,-3.839931e-02,1.201527e-01,6.379240e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.374943e-01,5.574094e-02,-1.362556e-01,5.883765e-02,ff0000,0,ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,oCALLOUT 1.672228e-02,3.716062e-03,1.672228e-02,6.379240e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.176753e-02,-1.052884e-02,1.176753e-02,-1.052884e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,aCALLOUT 1.176753e-01,-5.202487e-02,1.195333e-01,-4.583144e-02,ff0000,0,ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,bCALLOUT 1.424491e-02,6.255372e-02,1.486425e-02,6.998584e-02,ff0000,0,ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,cCALLOUT 1.189140e-01,6.255372e-02,1.189140e-01,6.255372e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,dCALLOUT -1.003337e-01,4.892815e-02,-9.909500e-02,5.078619e-02,ff0000,0,ffff00,ffffffeb,0,0,0,190,0,22010203,61697241,6172006c,32346870,54422031,0,0,0,0,)CALLOUT -9.290156e-02,4.459275e-02,-9.290156e-02,4.459275e-02,ff0000,0,40ffff00,ffffffeb,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aCALLOUT 1.963320e-01,1.139592e-01,1.963320e-01,1.139592e-01,ff0000,0,40ffff00,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT PgDnDELCALLOUT Una particolare categoria di triangoli simili quella dei TRIANGOLI RETTANGOLI SIMILI in cui, cio, un angolo retto (90)PAUSE 0.3 sCALLOUT -2.310152e-01,-1.034304e-01,-2.310152e-01,-1.034304e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Nei triangoli rettangoli valgono le seguenti propriet:PAUSE 0.7 sCALLOUT -1.517392e-01,-8.485009e-02,-1.517392e-01,-8.485009e-02,ff0000,0,40ffff00,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,ac bdoc odCALLOUT -1.511199e-01,-6.626978e-02,-1.399717e-01,-6.626978e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.300622e-01,-6.688912e-02,-1.176753e-01,-6.688912e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.412104e-01,-7.617928e-02,-1.399717e-01,-7.617928e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.158173e-01,-7.617928e-02,-1.158173e-01,-7.617928e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.021917e-01,-7.679862e-02,-1.021917e-01,-7.679862e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Tan ( )CALLOUT -7.308256e-02,-7.803731e-02,-7.308256e-02,-7.803731e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,2bc,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aCALLOUT -1.919966e-01,-7.803731e-02,-1.919966e-01,-7.803731e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,2bc,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,1 )CALLOUT -1.932352e-01,-2.663178e-02,-1.932352e-01,-2.663178e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,2bc,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,2 )CALLOUT -1.542166e-01,-3.592194e-02,-1.542166e-01,-3.592194e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,ac bdoa obCALLOUT -1.535972e-01,-1.796097e-02,-1.418297e-01,-1.796097e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.319202e-01,-1.858031e-02,-1.201527e-01,-1.858031e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.430684e-01,-2.787047e-02,-1.424491e-01,-2.787047e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.170560e-01,-2.787047e-02,-1.170560e-01,-2.787047e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.021917e-01,-2.972850e-02,-1.021917e-01,-2.972850e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,sin( )CALLOUT -8.175337e-02,-3.096719e-02,-8.175337e-02,-3.096719e-02,ff0000,0,40ff0000,ffffffeb,0,0,0,2bc,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aCALLOUT 1.833257e-01,1.096238e-01,1.833257e-01,1.096238e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYINTERPOLATE 0 s,DELETECALLOUTS,LINEARNEWDIA "SS000030.SIT",YINTERPOLATE 5 s,DELETECALLOUTS,LINEARNEWDIA "SS000007.SIT",YPAUSE 0.5 sCALLOUT -1.055666e+00,-6.942670e-01,-1.055666e+00,-6.942670e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Quando Venere si trova alla Massima Elongazioneda Terra possiamo misurare un angolo (tra Venere ed il Sole)di 46,054 .... =46,o54CALLOUT -6.879267e-01,-4.469938e-01,-6.879267e-01,-4.469938e-01,ff0000,0,40ff0000,ffffffed,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aCALLOUT -6.498847e-01,9.510507e-03,-6.055023e-01,5.167376e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -6.055023e-01,5.167376e-01,-6.340338e-03,0.000000e+00,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -6.498847e-01,9.510507e-03,0.000000e+00,0.000000e+00,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -6.435443e-01,7.291389e-02,-5.833111e-01,7.291389e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -5.864813e-01,7.291389e-02,-5.864813e-01,9.510507e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -5.991620e-01,3.835905e-01,-5.991620e-01,3.835905e-01,ff0000,0,40ffff00,ffffffeb,0,0,0,2bc,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aCALLOUT -5.769708e-01,3.170169e-03,-5.642901e-01,9.510507e-03,ff0000,0,ffff00,ffffffed,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,90PAUSE 3 sCALLOUT 1.585085e-02,-2.726345e-01,1.585085e-02,-2.726345e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Ponendo la distanza Terra-Sole uguale a 1 (1 u.a.),usando le "leggi" dei triangoli simili troviamo che :CALLOUT -1.711891e-01,1.870400e-01,-1.711891e-01,1.870400e-01,ff0000,0,40000000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,dist. Venere-Sole dist. Venere-Soledist. Terra-Sole 1 (u.a.)CALLOUT 3.518888e-01,2.345925e-01,3.518888e-01,2.345925e-01,ff0000,0,40000000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.870400e-01,2.758047e-01,3.423783e-01,2.758047e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 4.533342e-01,2.789749e-01,9.383700e-01,2.789749e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 9.573911e-01,2.314223e-01,9.573911e-01,2.314223e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT 1.017624e+00,2.250820e-01,1.017624e+00,2.250820e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,sin( )CALLOUT 1.119070e+00,2.219118e-01,1.119070e+00,2.219118e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,0,0,0,aPAUSE 4 sCALLOUT 2.345925e-01,3.772501e-01,2.314223e-01,3.772501e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,da cui troviamo che CALLOUT -9.510507e-03,4.977165e-01,-9.510507e-03,4.977165e-01,ff0000,0,40ff0000,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,dist. Venere-Sole = 0,72 u.adist. Terre-Venere=1-0,72=0,28 u.aCALLOUT 1.090538e+00,6.245233e-01,1.090538e+00,6.245233e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYNEWDIA "SS000002.SIT",YPAUSE 0.3 sCALLOUT -1.112729e+00,-4.216325e-01,-1.112729e+00,-4.216325e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Ora ci serve "solo" sapere a quanti chilometri corrispondel'unit astronomica ed ora che entra in gioco il transitoCALLOUT 1.049326e+00,5.959918e-01,1.049326e+00,5.959918e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYINTERPOLATE 0 s,DELETECALLOUTS,LINEARNEWDIA "SS000032.SIT",""INTERPOLATE 3 s,DELETECALLOUTS,LINEARNEWDIA "SS000008.SIT",YPAUSE 0.3 sCALLOUT -8.135459e-01,-4.489256e-01,-8.135459e-01,-4.489256e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Due osservatori sulla Terra, molto distanti uno dall'altro,osserverano il transito di Venere in due zone diverse deldisco solare ( per effetto della Parallasse) e quindi i transiti avranno diversa durata ...PAUSE 1 sCALLOUT -6.913032e-01,-1.180274e-01,-6.913032e-01,-1.180274e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Prendiamo due osservatori (A e B) posti 2000 km uno dall'altro ...CALLOUT 7.482093e-01,4.173111e-01,7.482093e-01,4.173111e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT Due osservatori sulla Terra, molto distanti uno dall'altro,osserverano il transito di Venere in due zone diverse deldisco solare ( per effetto della Parallasse) e quindi i transiti avranno diversa durata ...DELCALLOUT Prendiamo due osservatori (A e B) posti 2000 km uno dall'altro ...DELCALLOUT PgDnPAUSE 0.2 sSHOWJPG -3.793737e-02,-4.531408e-01,-3.793737e-02,-4.531408e-01,40000000,sole.jpgSHOWJPG 4.742172e-01,3.077142e-01,4.742172e-01,3.077142e-01,40000000,terra.jpgPAUSE 0.3 sCALLOUT 5.016164e-01,3.393287e-01,5.016164e-01,3.393287e-01,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT 4.784324e-01,3.920195e-01,4.784324e-01,3.920195e-01,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,ACALLOUT 5.458766e-01,2.908532e-01,5.458766e-01,2.908532e-01,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT 5.753835e-01,2.803150e-01,5.753835e-01,2.803150e-01,ff0000,0,40ff0000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,BCALLOUT 5.079393e-01,3.856966e-01,5.543072e-01,3.393287e-01,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.079393e-01,3.856966e-01,5.521995e-01,3.414364e-01,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.100469e-01,3.878043e-01,5.521995e-01,3.435440e-01,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.100469e-01,3.856966e-01,5.543072e-01,3.414364e-01,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.121545e-01,3.856966e-01,5.500919e-01,3.393287e-01,ff0000,0,40000000,ffffffe8,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.521995e-01,3.414364e-01,5.100469e-01,3.899119e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 5.332309e-01,3.667279e-01,5.332309e-01,3.667279e-01,4a0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,S oss = 2000 kmCALLOUT 5.079393e-01,3.856966e-01,3.098219e-01,-1.643953e-01,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 2.866379e-01,-2.971761e-01,2.866379e-01,-2.950685e-01,ff0000,0,40ffff00,ffffffc0,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT 3.245753e-01,-2.023327e-01,3.245753e-01,-2.023327e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Transito visto da ACALLOUT 5.521995e-01,3.372211e-01,1.475342e-01,-7.587475e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.264579e-01,-2.086556e-01,1.243503e-01,-2.086556e-01,ff,0,40ffff00,ffffffc0,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,.CALLOUT -1.369961e-01,-7.376711e-02,-1.369961e-01,-7.376711e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Transito visto da BCALLOUT 1.475342e-01,-8.219764e-02,3.077142e-01,-1.728258e-01,4a0000,0,40800000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.433190e-01,-1.833640e-01,1.433190e-01,-1.833640e-01,4a0000,0,40800000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,S tranCALLOUT 3.098219e-01,-1.665029e-01,1.264579e-01,-4.362798e-01,ff0000,0,40000000,ffffffed,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 1.454266e-01,-8.219764e-02,-2.107632e-02,-3.393287e-01,ff0000,0,40000000,ffffffed,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PAUSE 1 sCALLOUT -7.608551e-01,-2.971761e-01,-7.608551e-01,-2.971761e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,In questa trattazione useremo un metodopuramente geometrico e non considereremo,come detto in precedenza, la diversa duratadel transito visto dai due osservatori ...CALLOUT 7.482093e-01,4.468180e-01,7.482093e-01,4.468180e-01,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYDELCALLOUT PgDnDELCALLOUT In questa trattazione useremo un metodo puramente geometrico e non considereremo, come detto in precedenza, la diversa durata del transito visto dai due osservatori ...PAUSE 0.2 sCALLOUT 2.234090e-01,-1.243503e-01,5.332309e-01,3.625127e-01,ffff00,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PAUSE 1.5 sCALLOUT -7.524246e-01,-3.013914e-01,-7.524246e-01,-3.013914e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,- l'altezza del triangolo maggiore la diatanza Venere-Sole = 0,72 u.a.CALLOUT 2.381624e-01,-4.215264e-02,2.381624e-01,-4.215264e-02,ffff00,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,0,72 u.a.PAUSE 1.5 sCALLOUT -7.545322e-01,-1.601800e-01,-7.545322e-01,-1.601800e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,- l'altezza del triangolo minore e la distanza Venere-Terra = 0,28 u.a.CALLOUT 4.278493e-01,3.056066e-01,4.278493e-01,3.056066e-01,ffff00,0,4080ff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,0,28 u.a.PAUSE 1.5 sCALLOUT -5.922445e-01,-1.264579e-02,-5.922445e-01,-1.475342e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Applicando le leggi dei triangolisimili possiamo ricavare quanto segue:PAUSE 2 sCALLOUT -7.756085e-01,1.454266e-01,-7.756085e-01,1.454266e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,dist. Osservatori dist. Transito sul disco S oss S tranCALLOUT -6.660117e-01,2.002250e-01,-6.660117e-01,2.002250e-01,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,0,28 0,72 0,28 0,72CALLOUT -7.692856e-01,2.023327e-01,-5.395538e-01,2.023327e-01,ff0000,0,c0ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -4.657866e-01,1.981174e-01,-1.517495e-01,1.981174e-01,ff0000,0,c0ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.011663e-01,1.981174e-01,-2.529158e-02,1.981174e-01,ff0000,0,c0ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT 2.318395e-02,2.002250e-01,1.201350e-01,2.002250e-01,ff0000,0,c0ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -5.226927e-01,1.770411e-01,-5.226927e-01,1.770411e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.412113e-01,1.749334e-01,-1.412113e-01,1.749334e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=CALLOUT -1.053816e-02,1.770411e-01,-1.053816e-02,1.770411e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,=PAUSE 5 sCALLOUT -3.604050e-01,2.676692e-01,-3.604050e-01,2.676692e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,e quindiCALLOUT -7.861467e-01,3.351135e-01,-7.861467e-01,3.351135e-01,ff0000,0,40ff0000,ffffffed,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,dist. Transito (sul disco solare) =S tran = 5142,86 KmCALLOUT 9.273580e-02,-2.170861e-01,9.273580e-02,-2.170861e-01,800000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,S tran = 5142,86 KmDELCALLOUT S tranCALLOUT 6.533659e-01,4.404951e-01,6.512582e-01,4.404951e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYNEWDIA "SS000003.SIT",YPAUSE 0.5 sCALLOUT -7.123796e-01,-2.381624e-01,-7.123796e-01,-2.381624e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Suppponiamo ora di osservare il transito (dalle due posizioni)e di poter disegnare con estrema precisione la traiettoria delpianeta su un disco solare del diametro di 16 centimetri (questa semplificazione per evitare i calcoli sui tempi del transito)CALLOUT 6.870880e-01,4.088806e-01,6.870880e-01,4.088806e-01,ff0000,0,40ff0000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYINTERPOLATE 10 s,PRESERVECALLOUTS,LINEARNEWDIA "SS000027.SIT",""NEWDIA "SS000013.SIT",""CALLOUT 7.469946e-03,4.893287e-03,7.375390e-03,4.846009e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,PgDnWAITKEYDELCALLOUT PgDnCALLOUT -6.428277e-01,-1.960098e-01,-6.428277e-01,-1.960098e-01,ff0000,0,40ff0000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,77d35400,1010057,12f5ac,0,Suppponiamo ora di osservare il transito (dalle due posizioni)e di poter disegnare con estrema precisione la traiettoria deltransito su un disco solare del diametro di 16 centimetri (questo semplificazione per evitare i calcoli sui tempi dei transiti)DELCALLOUT Suppponiamo ora di osservare il transito (dalle due posizioni)e di poter disegnare con estrema precisione la traiettoria deltransito su un disco solare del diametro di 16 centimetri (questo semplificazione per evitare i calcoli sui tempi dei transiti)PAUSE 0.5 sMOVIE CONT,45 min,1 s,7.8 s,SIMTIME,PRESERVECALLOUTS,SINGLECALLOUT -3.829529e-03,2.529380e-03,2.907606e-03,3.522221e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,CALLOUT -1.536540e-03,1.772930e-03,-1.536540e-03,1.772930e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,Traiettoria disegnata dall'osservatore ACALLOUT 7.020804e-03,4.846009e-03,7.020804e-03,4.846009e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,0,0,0,PgDnWAITKEYINTERPOLATE 0.2 s,PRESERVECALLOUTS,LINEARNEWDIA "SS000017.SIT",YCALLOUT -3.829529e-03,2.529380e-03,2.907606e-03,3.522221e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT -1.536540e-03,1.772930e-03,-1.536540e-03,1.772930e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Traiettoria disegnata dall'osservatore APAUSE 0.5 sMOVIE CONT,45 min,1 s,7.8s,SIMTIME,PRESERVECALLOUTS,SINGLECALLOUT -3.782251e-03,2.623937e-03,2.954884e-03,3.593139e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,PAUSE 0.3 sCALLOUT -1.347427e-03,3.451304e-03,-1.347427e-03,3.451304e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Traiettoria disegnatadall'osservatore BPAUSE 0.3 sCALLOUT -9.171959e-03,-5.224234e-03,-9.171959e-03,-5.224234e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Paragonando i due disegni potremo vedere chegli osservatori avranno disegnato due tracce leggermete differenti e separate di appena 0,0592 cm (mezzo millimetro circa) ...CALLOUT -4.775092e-03,2.292990e-03,-4.775092e-03,2.292990e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,0,0592CALLOUT -8.651900e-03,-1.371066e-03,-8.651900e-03,-1.371066e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,.... Facendo le debite proporzioni ....PAUSE 5 sCALLOUT 4.964205e-04,-5.366069e-03,4.964205e-04,-5.366069e-03,ff0000,0,40000000,ffffffed,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Se in un disco di 16 cm la separazione di 0,0592 cm vuol dire che la separazione di 5142,86 km corrisponde ad un disco del diametro di ...CALLOUT 9.455628e-04,-2.434824e-03,9.455628e-04,-2.434824e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,(16 cm / 0.0592 cm) = (diam. vero Sole / 5142,86)CALLOUT 3.853168e-03,-1.938404e-03,3.853168e-03,-1.938404e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,da cuiCALLOUT 1.087397e-03,-1.276510e-03,1.087397e-03,-1.276510e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,diametro vero Sole = (16 / 0,0592) x 5142,86 =CALLOUT 3.096718e-03,-7.091721e-05,3.096718e-03,-7.091721e-05,ff0000,0,40000000,ffffffe8,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,1.390.000 KmCALLOUT 7.517224e-03,4.538701e-03,7.517224e-03,4.538701e-03,ff0000,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,PgDnWAITKEYDELCALLOUT DELCALLOUT Traiettoria disegnata dall'osservatore ADELCALLOUT DELCALLOUT Traiettoria disegnatadall'osservatore BDELCALLOUT Paragonando i due disegni potremo vedere chegli osservatori avranno disegnato due tracce leggermete differenti e separate di appena 0,0592 cm (mezzo millimetro circa) ...DELCALLOUT 0,0592DELCALLOUT .... Facendo le debite proporzioni ....DELCALLOUT Se in un disco di 16 cm la separazione di 0,0592 cm vuol dire che la separazione di 5142,86 km corrisponde ad un disco del diametro di ...DELCALLOUT (16 cm / 0.0592 cm) = (diam. vero Sole / 5142,86)DELCALLOUT da cuiDELCALLOUT diametro vero Sole = (16 / 0,0592) x 5142,86 =DELCALLOUT 1.390.000 KmDELCALLOUT PgDnINTERPOLATE 3 s,DELETECALLOUTS,LINEARNEWDIA "SS000019.SIT",""INTERPOLATE 3 s,DELETECALLOUTS,LINEARNEWDIA "SS000010.SIT",""PAUSE 0.5 sSHOWJPG -6.351761e-02,-3.639978e-04,-6.351761e-02,-3.639978e-04,40000000,terra_small.jpgPAUSE 0.5 sCALLOUT -6.752159e-02,-3.803777e-02,-6.752159e-02,-3.803777e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,misuriamo ora il diametro apparente del Sole visto da terra ....PAUSE 1 sCALLOUT -5.969564e-02,1.819989e-03,3.621778e-02,-4.731971e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT -5.969564e-02,1.819989e-03,3.567178e-02,4.367973e-03,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT -3.166781e-02,-7.279956e-04,-3.166781e-02,-7.279956e-04,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,22010203,61697241,6172006c,32346870,54422031,0,10,202,0,)CALLOUT -3.021182e-02,-7.279956e-04,-3.021182e-02,-7.279956e-04,ff0000,0,40ffff00,fffffff0,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,10,202,0,dCALLOUT -4.859370e-02,-3.366979e-02,-4.859370e-02,-3.366979e-02,ff0000,0,40ffff00,ffffffeb,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,10,202,0,dCALLOUT -4.568172e-02,-3.348780e-02,-4.568172e-02,-3.348780e-02,ff0000,0,40ffff00,ffffffeb,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,= 0,534PAUSE 1 sCALLOUT -6.733959e-02,-2.693584e-02,-6.733959e-02,-2.693584e-02,ff0000,0,40ffff00,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,il diametro vero abbiamo visto essere di 1.390.000 kmCALLOUT 3.585378e-02,-4.731971e-03,3.585378e-02,4.549972e-03,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT 3.639978e-02,-2.911982e-03,3.639978e-02,-2.911982e-03,0,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,diam.veroCALLOUT -6.733959e-02,-2.183987e-02,-6.733959e-02,-2.183987e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,da cui: - raggio vero =695.000 km - raggio apparente=0,267PAUSE 1 sCALLOUT -6.661159e-02,1.037394e-02,-6.661159e-02,1.037394e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,e quindi, per le leggi dei triangoli rettangoli ...CALLOUT -5.878564e-02,1.601590e-02,-5.878564e-02,1.601590e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Tan (0,267) = 695.000 / 1 u.a.CALLOUT -5.933164e-02,1.819989e-03,3.585378e-02,1.819989e-04,ff0000,0,40ffffff,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT -2.729983e-03,-2.547984e-03,-2.729983e-03,-2.547984e-03,ffffff,0,40ffffff,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,1 u.a.CALLOUT -5.641966e-02,2.074787e-02,-5.641966e-02,2.074787e-02,ff0000,0,40ffffff,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0, da cui ... 1 u.a. =695.000 / tan (0,267) CALLOUT -5.969564e-02,1.819989e-03,3.603578e-02,-4.731971e-03,ff0000,0,40ffffff,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,DELCALLOUT DELCALLOUT DELCALLOUT )DELCALLOUT dCALLOUT -1.037394e-02,-2.365986e-03,-1.037394e-02,-2.365986e-03,ff0000,0,40ffffff,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,)CALLOUT -1.019194e-02,5.459967e-04,-1.019194e-02,5.459967e-04,ff0000,0,40ffffff,fffffff0,0,0,0,190,2000000,12010203,626d7953,61006c6f,32346870,54422031,0,10,202,0,d/2DELCALLOUT diam.veroCALLOUT 3.639978e-02,-4.913970e-03,3.639978e-02,-4.913970e-03,0,0,40ffffff,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,raggioveroDELCALLOUT CALLOUT 3.585378e-02,-4.731971e-03,3.585378e-02,1.819989e-04,0,0,40000000,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,CALLOUT -2.147587e-02,2.456985e-02,-2.092987e-02,2.638984e-02,ff0000,0,0,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,=CALLOUT -1.710790e-02,2.256786e-02,-1.710790e-02,2.256786e-02,ff0000,0,40000000,ffffffe3,0,0,0,2bc,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,149.140.000 kmCALLOUT 6.224362e-02,3.639978e-02,6.224362e-02,3.639978e-02,ff0000,0,40ffffff,fffffff5,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,PgDnWAITKEYNEWDIA "SS000033.SIT",YPAUSE 0.3 sCALLOUT -6.333561e-02,-3.767377e-02,-6.333561e-02,-3.767377e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Il risultato ottenuto molto vicinoalla realt e le differenze sono dovutealle molte approssimazioni usatePAUSE 1 sCALLOUT -6.752159e-02,-2.202187e-02,-6.752159e-02,-2.202187e-02,ff0000,0,40000000,fffffff0,0,0,0,190,0,42010203,6c6c6143,61726769,32346870,54422031,0,10,202,0,Ora, grazie alla TERZA LEGGE DI KEPLEROpossiamo trovare le distanze del sistema solare ...SS000015.SIT@SITUFILE06 !yw "2 !yP\BAҜ탙@ߓ` ?xDefinito dall'utentesVP?7@YUAá󫅁A@{P=+¶0V%@d/X)kr> uͿu;:?:(?h"ῡu?x3n⿧bcy????"I+;?W#BO?mĆ>+;?('-4BOw7??dt ?G?f3t90D1%G?sikqE?D)?!ΦѢ>k7ZC?B3DxI10 min0.5 sa@?@E5 ?8eratostene.jpgsJFIFC  !"$"$Cmm" }!1AQa"q2#BR$3br %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz w!1AQaq"2B #3Rbr $4%&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz ?ʊ( [h M^&EdUmɄP@PXzO,t<=$%."ʾ 0(5bcH#QQ*P4 >+YKI-A~iϗϵ0p 7iQ +4PR 9bܓp0 w ɨ<`}C]hT)j  G ?SSVGm^x]sb@떱*Ѭ5 DK:'\3 ;qOwR%%"uIfT9+,x.KVIu ֓So^V;ltl.]L5vcƙ2I]}֚6k" &јX\+Y~<-kJ4MJ]3Yo4vp42 Fdr5NC"x;/-jiH){n8S˜.F[; V- UX# وˆ7rZ8J(}-2;▦m]Ifu-6vp B. 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