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

To find the Mid-heaven or Tenth House.

When you would erect a figure you must have the true place and Right Ascension of the Sun for the time proposed, let the given time in the me∣ridian of London where the North pole is elevated above the Horizon 51. 53333 be July the 16. After noon 18 hours, 4564 in the yeare 1587. For which time according to our Tables the Suns place is in Vir∣go 4. 07368 which known the Midheaven or 10 house may thus be found.

First, enquire the Right Ascension of the Sun at the time proposed by the 4 Chapter thus

As the Radius  
To the tangent of A C25. 926329. 6867627
So consine of B A C23. 525009. 9623154
To the tangent of B C24. 024279. 6490781

whose complement 155. 97573 is the Right Ascension sought.

    Page 29

    To the Right Ascension of the Sun
    155. 97573
    Adde the Right Ascension of time
    276. 84600
    Right Ascension of the Mid-heaven
    432. 82173
    Deduct a whole circle
    360.
    Then rests for the Right Ascension
    072. 82173

    Then in the Rectangle Sphericall Triangle ♈ 10 F we have given. 1 ♈ F the Right Ascension of the mid-heaven. 72. 82173 2 The Suns greatest Declination F ♈ 10. 23. 5250 to find ♈ 10 the point culminating.

    As the Radius.  
    To the Cotangent of F ♈72. 821739. 4901498
    So cosine of 10 ♈ F23. 52509. 9623154
    To the cotangent of ♈ F O74. 175019. 4524652

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