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.
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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

CHAP. 1. To find the Suns greatest Declination, and the Poles Elevation.

THe Declination of a Planet, or other Star is his distance from the Aequator, and as he declines from thence either Northward or Southward, so is his declination nominated North or South. And because that all the Planets (the Sun onely excepted) do move sometimes in and sometimes out of the Ecliptick besides there declination North or South from the Aequa∣tor, they have also latitude North or South from the Ecliptique, while the Planets keep in the ecliptique, one rule will serve to find their Declinati∣on, as well as the Declination, of the Sun, but if they have either North or South latitude, there must another rule be given, in both which rules the greatest Declination of the Sun is supposed to be known; and first there∣fore we will shew how, that may be found instrumentally, and then com∣pute the Declination of a Planet or other Star, with latitude or without.

For the finding the Suns greatest Declination, you must by a Quadrant or other Instrument, take his greatest and his least Meridian altitude; the difference between which altitudes is the distance of the Tropiques, and half the distance of the Tropiques, is the quantity of the Suns great De∣clination, as by the following Figure it doth appear. In which A Z B N represents the Meridian, E F the Eqinoctial, ♋ ♑ the Zodiack, the

Page 8

[illustration]
North pole D the South A B the Horizon Z the Zenith, N the Nadir, ♋ G a parallel of the Suns Diurnall motion at ♋, or the Suns greatest Declination from the Equator towards the North Pole. From whence it is apparent that from A to ♋ is the Suns greatest Meridian altitude from A to H his least, if therefore you deduct A H the least Meridian altitude from A ♋ the greatest, the difference H ♋ is the distance of the Tropiques, and because the angles ♋ center F and ♑ center E are equal, therefore the Suns greatest Declination towards the South Pole is equal to his great∣est Declination towards the North, and consequently halfe the distance of the Tropiques, or the arch that is the arch ♋ F is the quantity of the Suns greatest declination. And then if you deduct the Suns greatest declination or the arch A ♋ F from the Suns greatest Meridian altitude or the arch A ♋ the difference wil be A F or the height of the Aequator above the Horizon, the complement whereof to a quadrant is the arch A D equal to C B the height of the Pole.

Example.
The Suns greatest Meridian altitude taken, June 11 at London
61, 99167
The Suns least Meridian altitude, December the 10th.
14, 94167
Their difference is the distance of the Tropiques
47, 05000
Half that difference is the Suns greatest Declination whose difference from the greatest altitude is
23, 52500
The elevation of the Equator and the complement thereof to 90 is the Elevation of the Pole
38, 46667
 
51, 53333
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