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 16, 2024.
Pages
CASE IV. Two Sides, with an Angle opposite to one of them, being given, to find the other Parts.
IF there be given the Side Z P, the Side E P, and the Angle Z E P, there may be found 18.
1. E Z, the Complement of the Sun's Altitude.
2. E Z P, the Sun's Azimuth from the North.
3. Z P E, the Hour from the South.
But if the Side Z P, and the Side E P, with the Angle E Z P, had been given, then might be found
4. E Z, the Complement of the Sun's Altitude.
descriptionPage 92
5. Z E P, the Angle of the Sun's Position.
6. Z P E, the Hour from Noon.
And if there had been given E P, E Z, and E Z P, then might be found
7. Z P, the Complement of the Latitude.
8. Z P E, the Hour from Noon.
9. Z E P, the Angle of the Sun's Position.
In like manner, if the Sides P E and E Z, with the Angle Z P E, had been given, then might be found
10. Z P, the Complement of the Latitude.
11. E Z P, the Azimuth from the North.
12. Z E P, the Angle of the Sun's Position.
Again, if the Sides E Z and Z P, with the Angle Z P E, had been given, then would be found
13. P E, the Sun's distance from the Pole.
14. Z E P, the Angle of the Sun's Position.
15. E Z P, the Sun's Azimuth from the North.
Lastly, if the Sides E Z and Z P, with the Angle Z E P, had been given, then you might find
16. P E, the Complement of the Sun's Declination.
17. Z P E, the Hour from Noon.
18. E Z P, the Azimuth from the North.
email
Do you have questions about this content? Need to report a problem?
Please contact us.