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.
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 June 5, 2024.

Pages

CHAP. 36. To Delineate the Eclipses▪ of the Sun and Moon.

FOr the Moon draw the lines AC and BD to intersect one ano∣ther at right angles in E, which point of intersection is the place of the Ecliptique where the Eclipse happens: upon which as a Cen∣ter draw the Peripherie ABCD, of the quantity of the summe of the Semidiameters of the Moon and the earths shadow (which may be done by helpe of a Scale or Sector of equal divisions) also to the quan∣tity of the Semidiameter of the earths shadow, draw upon the same cen∣ter another Peripherie.

Then because the Moones Eclipse begins on the east part of her body, you must upon the west side of your plane, note downe the latitude of the

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Moon in the arch BCD, which here▪ represents the west part▪ and may be thus done, From E upon the line BD prick out the latitude at the be∣ginning; towards B, if the Latitude be North, towards D if South, and it terminat••s at G, from which draw a parallel to AC, and in the arch BC it marks out F. Also for the end of the Eclipse proceed in like man∣ner on the other side, and you have the latitude terminated at I, and the parallel falling at H. Then draw a line between F and H and where it in∣tersects BD marke it with K. Lastly, upon the centers F, K and H, draw three equal circles, having for Radius the Semidiameter of the Moone, and the worke is done.

Typus Eclipseos Lunae praedictae.

[illustration]

Example of the forementioned Eclipse of the Moon March 15. 1652

Summe of the Semidiameters EB: . 97385
Semidiameter of shadow EM: . 70954
Initial latitude of the Moon EG, North: . 59223
Final latitude of the Moon EI North: . 43746
Semidiameter of the Moon MB: . 26431

2 For the Eclipse of the Sun, it differs nothing at all from this of the Moon, but onely that instead of the Semidiameter of the shadow of the earth you use the Semidiameter of the Sun; and the visible latitude for the true.

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Example of the forementioned Sol•••• Eclipse March 28. ••652.

Summe of the Semidiameters EB: . 5520••
Semidiameter of the Sun EM: . 27386
Initiall visible latitude EG South: . 11353
Finall visible latitude EI North: . 15707
Semidiameter of the Moon MB: . 27815

Typus Eclipseos Solis pr••dict••.