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.
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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 4, 2024.
Pages
2. To finde his distance from the Sun.
As the sine M B H
4. 52042 co. ar.
1. 1034042
Is to the side M H.
110290
5. 0425361
So sine E M H
40. 77207
9. 8149473
To the side B H
913876
5. 9608876
••. From the eccentrick place of Saturne subduct the Node, there rest∣eth the argument of Latitude: by help whereof and the angle of his great∣est inclination, which according to Bullialdus is 2 d. 50, or 4362, we may easily finde his Reduction, but the side E B 4362 in the parts of 100. 000, must be reduced into the parts of Saturns semidiameter 954198, to finde the curtation. As 100. 000 is to 954198, so is 4••62 to 41622. Saturns eccentrick place
Example.
40. 28078
Node substract
110. 41752
Argument of Latitude
289. 86326
Whose complement is K L
70. 13674
descriptionPage 118
As Radius
To cosine of XKL
2. 50
9. 999586
So is tang. of KL
70. 13674
10. 4421682
To tang. of
70. 12929
10. 4417546
Whose difference
. 01745 is the Reduction sought:
And to be subtracted from the ecceutrick place, if he move from either Node towards the limits of his greatest latitude, but if he depart from the limits and approach towards the Nodes the reduction is to be added, for so the sum or difference will be the place in the Ecliptique. As in our example, Saturne is past the limits of his greatest latitude, and is approaching to∣wards his Node, and therefore the reduction is to be added.
Saturns eccentrick place
40. 28078
Reduction adde
. 01745
The eccentrick reduced
40. 29823
The inclination of his orbite from the eccliptique represented in the se∣cond figure following by the line XL, may thus be found.
As the Radius KE 90.
To the greatest in clination EB
41622
4. 6193229
So is the sine of KL
70. 13674
9. 9733616
To the side XL
••9145
4▪5926845
which is the inclination agreeing to the common Radius 954 198, where∣as the distance of Saturne from the sun is to be put for the Radius, and then XL will be but 37491.
As DL
954198 co. ar.
4. 0203616
To AL
913876
5. 9608876
So is XL
39145
4. 5926845
To XL
37491
4. 5739336
The distance of Saturne in his orbite from the Sun being given with the inclination of his orbite from the eccliptique, the distance corrected by curtation may thus be found.
As AL
913876 co. ar.
4. 0391124
Is to Radius
90
10. 0000000
So is LX
37491
4. 5739••36
To the tang. of LA••
2. 35121
8. 6130460
As Radius
To AL
913876
5. 9608876
So cosine of LAX
2. 35121
9. 9996343
To AX
913107
5. 9605219
[illustration]
descriptionPage 119
[illustration]
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