Example.
- 40. 28078
- Node substract
- 110. 41752
- Argument of Latitude
- 289. 86326
- Whose complement is K L
- 70. 13674
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
-
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 May 5, 2025.
Pages
Page 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]
Page 119
[illustration]