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 ...
About this Item
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.
Rights/Permissions
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Subject terms
Astronomy -- Early works to 1800.
Planetary theory -- Early works to 1800.
Astronomy -- Mathematics -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A52255.0001.001
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 June 5, 2024.
Pages
Example.
Anno 1587, August 17 ho. 19. 41667 in the apparent time, or ho. 19. 28973 in the middle time, the Moon being in the meridian of Vraniburge noble Tycho observed her in 26 deg. 38333 of Gemini with latitude 5 deg. 23333 S. from which middle time if you subtract 83333 for the difference of the meridians of London and Vraniburge, the time in our meridian is, ho. 18. 45640.
And the Suns true place
154. 07347.
The Suns distance from the Earth
100895.
The Log••rithme of that distance
5. 0038707
The Moons middle motions for the same time are as here you see them.
descriptionPage 100
Time given
☽ Longitud
☽ Anomaly
☽ Latitude
Years 1500
072. 88194
313. 06916
017. 17805
80
174. 24805
158. 80139
281. 61167
6
069. 48028
18••. 37750
185. 50583
Iuly
27••. 39555
249. 77639
284. 62194
D••yes 16
••10. 82222
209. 0••972
211. 66944
H••••res 18
••9. 88222
9. 79861
9. 92222
Paris 4564
. 250••1
. 24848
. 25152
Mean Longitude
810. 96077
1126. 11125
990. 76067
Ded••ct
720.
1080.
720.
There rests
90. 96077
46. 11125
270. 76067
The Moones meane Anomaly 46. 11125 is the angle A M E in the preceding Ellip••is, or the summe of the angles M E H and M H E. Therefore in the triangle M E H we have given, 1. The side M E 200000. 2. The side M H 8724. 3. The angle E M H the complements of the Moones Anomaly, to find M E H, whose double, is the excentrique E∣quation M B H. I say then,
As the summe of M E and M H
208724 co. ar.
4. 6804276
Is to their difference
191276
5. 2816605
So is the tang. half summe of the opposite angles,
23. 05562
9. 6290228
To the tang halfe diff.
21. 30786
9. 5911109
Differ.
1. 74776 is the angle M E H
Differ▪ doubled 3. 49552 is the angle M B H or the equation sought which being subtracted from the Moons mean longitude, because the Anomaly is lesse then a semicircle you shall have the Moones place first equated.
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