Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ... / by John Newton ...
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Title
Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ... / by John Newton ...
Author
Newton, John, 1622-1678.
Publication
London :: Printed for the author by R. and W. Leybourn, and are to be sold by Thomas Piercepoint ...,
1657.
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Subject terms
Astronomy -- Early works to 1800.
Planetary theory -- Early works to 1800.
Astronomy -- Mathematics -- Early works to 1800.
Cite this Item
"Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ... / by John Newton ..." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52255.0001.001. University of Michigan Library Digital Collections. Accessed May 23, 2024.
Pages
CHAP. 9. Having the Declination and Right ascension of a star given, to finde the longitude and latitude thereof.
IN the Diagram of the 3 Chapter, having the Right ascension of the little Star in the breast of Pegasus A C. 337. 49239. And the decli∣nation C M. 22. 43333. with the greatest obliquity of the Ecliptique
B A C. 23. 5250. we are to enquire its Longitude A N. and Lati∣tude M N. wherefore in the Triangle A B C. we have the angle B A C. 23. 5250. and the side A C 22. 50761 the complement of the Right ascen∣sion: then I say.
As Radius.
To Tangent of B A C
23. 5250
9▪63••••198
So sine of A C.
22. 50761
9. ••8••••787
To Tangent of B C.
6. 46125
9. 2217985
Adde C M.
22. 43333 The Declination
Sum is M B.
31. 89458
when the Declination is South the arch found must be subtracted from it, and their difference shall be M B.
2. To finde the angle A B C.
As the sine of B C
9. 46125 co. ar.
0. 7841497
To the sine B A C
23. 5250
9. 6011352
So the sine of A C
22. 50761
9. 5829787
To the sine of A B C
68. 36843
9. 9682836
3. To finde the side A B.
As the sine of B A C.
23. 52520. co. ar.
0. 3988648
To the sine of B C.
9. 46125.
9. 2158503
So is Radius.
10. 0000000
To the sine of A B.
24. 31967
9. 6147151
4. The angle A B C is equall to the angle M B N, therefore to finde the latitude M N.
descriptionPage 20
As the sine M N B
90.
To the sine of M B
31. 89458.
9. 722928••
So the sine of M B N.
68. 36843.
9. 9682836
To the sine of M N.
29. 41602.
9. 6912118
Lastly, to finde the arch B N.
As Radins.
To Cotangent of. M B N.
68. 36843.
9. 5983151
So Tangent of M N.
29. 41602.
9. 7511554
To the sine of B N.
12. 92052.
9. 3494705
Which is to be added to A B if the Right ascension be lesse then a semi∣circle, but if the Right ascension exceed 180, as in our example, the Com∣plement of B N. 357▪07948, is the longitude desired.
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