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ASTRONOMICAL PAPERS. 



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75 



So is Rad : to the S, of 8^ 3"^^ * 57^' 'i^^ the angle of 



Venus'vS vifible path with the ecliptic. 



From 8^ 32' . 57'' 6, the angle of Venus's vifible path, 

 *' Subt. 3. 23. 20, the inclination of Venus's orbit 

 with the eclipt. and the remainder is 5^. 9' . 27" S* Then 



As S, 5^^. 9' . 37">6 the diff, of the angle of Venus's 



^ 



Tifible path and the inclin. of her orbit, &c. 



^ _ 



C( 



Is to S, 8^ 32'. sYS the angle of Venus's vifible 



path with the eclipt. 



cc 



(( 



So is 2^392375 the given hor, motion of the Sun., 



To 3' 19541 2 the hor. motion of Venus, 



As Rad. Is to T, 8^ 32', 57^6 the angle of Ve- 

 nus's vifible path, 



*' So is S, I*'. 8'. 25" the Sun's dift. from the node of 

 Venusv 



(C 



To T, 10'.. 17^,2 Venus's gcocent. latitude. 

 As 72626,3 the relative dift. of Venus from the Sun, 

 Is- to 28894,9 her diftance from the earth- 

 So is 6 17'', 2 her geocent. latitude, 

 ** To 245",56 her heliocent. latitude. 



From i5'.45"565 the femid. of the Sun, 



(C 



(C 



fii 



<( 



"Take 27", 71 



rcnce is 15'. I7",94., 



from the center of Venus at the inter. conta£t. 



the femid. of Venus, and the diffe- 



the dift. of the center of the Sun 



But the 

 neareft dift. of their centers was found 6io^'56i.^ 

 From thefe (b. Euc. x. 47) the length of half the tranfit 

 line between the int. contads is found to be 685^,397 

 which divided by the hor. motion of Venus gives the fe- 

 miduration of the tranfit between the two internal conta£ts> 



geocent 



^ 



n 



S3 



20^',2. 



*' In the fame manner, from the geocent. lat. of Venus, 

 and the neareft dift. of her center from the center of the 



Sun, we find the time of Venus paffing from the eclipt% 

 conjundion to the middle of the tranfit 22^44", 9. Then 

 from 5\ 28' 47^', which I find to be the central time of 

 the middle of the tranfit, deduct 22'. 44^,9, and the re- 

 mainder, viz. 5\ 6''. 2^', I, will be the apparent time of the 



ecliptical. 



