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.
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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.
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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 8, 2024.
Pages
CASE IV. The Perpendicular, or Base, and either of the Angles given, to find the other Parts.
IN the Triangle P ☉ O let there be given the Amplitude, ☉ O, and the Angle of the Sun's Position, P ☉ O; by which you may find 12.
1. P O, the Latitude.
2. ☉ P O, the Hour from Midnight.
3. P ☉, the distance of the Sun from the Pole.
But if the Side given had been ☉ O, and the Angle given ☉ P O, then you might have found
4. P ☉, the Complement of the Sun's Declination.
5. P O, the Latitude.
6. P ☉ O, the Angle of the Sun's Position.
But again, if ☉ O and ☉ P O had been given, then might be found
7. ☉ P, the Complement of the Sun's Declination.
8. ☉ O, the Amplitude from the North.
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9. P ☉ O, the Angle of the Sun's Position.
And again, if P O and O ☉ P had been given, we might then have also found
10. ☉ P, the distance of the Sun from the Pole.
11. ☉ O, the Amplitude from the North.
12. ☉ P O, the Hour from Midnight.
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