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M A T H E M A T I C A L a n d 



II 



6io":6i6 



the geo- 



Again Rad : fee. B". 28' 27" : : Oio" :0 ib",73 ; 



centric latitude otTenus at the tune of ecliptic conjunc 



tion. 

 From the logarithm ofVenus geocent. lat. 2.7900974 



Subftradthe diff.of the logarithms of"^ 



Fenus's diftancefrom the earth, and^ 0.4002370 



from the fun, 

 Remains the log. of the heliocentric lat. 2.38986o4=:4'.5",39 



Then fay, as tlie tangent of the indmation of the orb 

 of Fenusy is to radius, lo is the tangent of her heliocen- 

 tric latitude to the fine of her diftance from the node in 

 the ecliptic; that is 



T. /. 23^ 20" : Rad : : T, 4^-5^39 ^ Sine i^ 9'. 4" 

 the diftance from the node. 



The few's place by Halley's tables at the"? ^,^ „_ ^g'. 32" 



time of ecliptic conjundion was 

 Diftance of the node from the Sun, ^ 

 Thefum is the place of r^fmw's afcending 



node, 



o. I. 9. 4 



2« H- 35- 3^ 



But, by Halley's tables, the place of > g^ __ ^g^ ^a 

 Fenus to the above time is only 

 That, is tenjeconds too flow. 



Thus gentlemen you have a faithful account of our 

 whole work, which we could have wiihedto have reduced 

 to lefs compafs. Had our latitude and longitude been 

 prevlouffy fixed, as they had been at Philadelphia by able 

 mathematicians, a great part of our work might have been 

 faved. But we thought it neceffary (as hath been before 

 hinted) to Ihew that fuch pains were taken in thefe mate- 

 rial articles that they may be depended on. And as wc 

 were happily favoured at the tranfit, with advantages of 

 weather, and other circumftances, which cannot have hap- 

 pened to the generality of obfervers in many parts of the 

 world, it was thought we fhould be more readily excufed» 

 by men of fcience, for the infertion of things that might 



be fupcrfluous, than the omiflion of the leaft article mate- 



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