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.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
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 4, 2024.

Pages

To finde the second inequality of Mars.

We must have given, 1 The angle N A S, which is to be found by subducting the ☉ place from the eccentrick of ♂ reduced, or this from it, so that lesse then 6 signes may remain, this remainer is the Anomaly of the Orbe, and the complement thereof is the angle N A S, or the halfe, is the halfe sum of the opposite angles.

Example.

The eccentrick of ♂ reduced: 257. 44576
The ☉ true place: 154. 07347
Anomaly of the Orbe: 103. 37229
Complement is N A S: 76. 62771
Halfe Anomaly: 51. 68614

These given with the sides N A & S A, I say,

As the greatest side N A	146426 co. ar.	4. 8343814
Is to Radius		10. 0000000
So is the lesser side S A	100895	5. 0038707
To the tang. of	34. 56887	9. 8382521
Adde	45
As Radius
To co-tang.	79. 56887	9. 2650444
So tang. ••/•• sum	51. 68614	10. 1022929
To tang. ½ diff.	13. 11536	9. 3673373
Summe	64. 80150 angle A S N
Differ.	38. 57078 angle A N S

Because the Suns place was subtracted from the eccentrick of ♂ redu∣ced, therefore the angle of elongation A S N 64. 80150 must be added to the ☉ place 154. 07347 and then the place of ♂ will be 218. 87497.