Nine geometricall exercises, for young sea-men and others that are studious in mathematicall practices: containing IX particular treatises, whose contents follow in the next pages. All which exercises are geometrically performed, by a line of chords and equal parts, by waies not usually known or practised. Unto which the analogies or proportions are added, whereby they may be applied to the chiliads of logarithms, and canons of artificiall sines and tangents. By William Leybourn, philomath.
About this Item
Title
Nine geometricall exercises, for young sea-men and others that are studious in mathematicall practices: containing IX particular treatises, whose contents follow in the next pages. All which exercises are geometrically performed, by a line of chords and equal parts, by waies not usually known or practised. Unto which the analogies or proportions are added, whereby they may be applied to the chiliads of logarithms, and canons of artificiall sines and tangents. By William Leybourn, philomath.
Author
Leybourn, William, 1626-1716.
Publication
London :: printed by James Flesher, for George Sawbridge, living upon Clerken-well-green,
anno Dom. 1669.
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.
This text has been selected for inclusion in the EEBO-TCP: Navigations collection, funded by the National Endowment for the Humanities.
Link to this Item
http://name.umdl.umich.edu/A48344.0001.001
Cite this Item
"Nine geometricall exercises, for young sea-men and others that are studious in mathematicall practices: containing IX particular treatises, whose contents follow in the next pages. All which exercises are geometrically performed, by a line of chords and equal parts, by waies not usually known or practised. Unto which the analogies or proportions are added, whereby they may be applied to the chiliads of logarithms, and canons of artificiall sines and tangents. By William Leybourn, philomath." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A48344.0001.001. University of Michigan Library Digital Collections. Accessed June 9, 2024.
Pages
CASE II. Two Sides and the Angle comprehended by them being given, to find the other Parts of the Triangle.
IF in the Triangle Z E P there be given the Side E Z and Z P, and the Angle between them E Z P, you may find 9.
1. Z E P, the Angle of the Sun's Position.
2. Z P E, the Hour from the South, or Noon.
3. E P, the Sun's distance from the Pole.
But if the Sides Z P and P E, and the Angle Z P E between them, had been given, then might have been found
4. P E Z, the Angle of the Sun's Position.
5. E Z, the Complement of the Sun's Altitude.
6. E Z P, the Azimuth of the Sun from the North.
And if the Sides Z E and P E, with the Angle Z E P contained by them, had been given, there might be found
7. E Z P, the Sun's Azimuth from the North.
8. Z P, the Complement of the Latitude.
9. Z P E, the Hour from Noon.
email
Do you have questions about this content? Need to report a problem?
Please contact us.