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 May 18, 2025.

Pages

Example.

As Radius  
To the sine of A T C5. 291668. 9648517
So is the sine of A T45.9. 8494850
To the sine of A F3. 739108. 8143367

Subtract A B 3. 51564 there rests the Excesse to be placed in the Table 0. 22346.

The proportipnal part of which excesse to be added to the Moones la∣itude

Page 108

must be found by scruples of proportion, and the Scruples themselves for every degree of the Moones distance from the Sunne may thus be had.

[illustration]

As Radius▪  
To the Coine of the Moones double distance D H409. 8842539
So is the sine of D B0. 158337. 4413575
To the sine of D H0. 121427. 3256114
Their differ▪ is B H0. 03691 
Then as the Diameter B C316665. 4994068
Is to the Diameter B C100. 0005. 0000000
So is B H0. 036913. 5671440
To B H0, 116564. 0665508

Or more readily thus D H 76604 is the sine of 50 or the Cosine of 40 the Moones double distance from the Sun, which being deducted from Radius, the remainder is the versed sine B H 23396 the halfe 11698, are the scruples of proportion answering to 20 deg. of the Moones single di∣stance from the Sun,

From the Moones place in her Orbe
86. 26641
Subtract the Moones true latitude
264. 85725
The Moones Node ascending
181. 40916

Lastly, for her Reduction▪

Page 109

As Radius  
To the Cosine of A T F5. 247759. 9981757
So tang. of A T84. 8572511. 0458587
To tang. of T F84. 8368911. 0440344

Difference 02036 is the Reduction sought
From the place in her Orbe
86. 26641
Subtract her Reduction
. 02036
The Moones place in the Ecliptique
86. 24605
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