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

To resolve the Proposition by the Projection.

In the Triangle Z P a, it is the Angle at P that is to be found. Wherefore lay a Ruler from the Point P to the Point a, and it will cut the Meridian Circle in t: So the Arch t AE, being mea∣sured upon your Line of Chords, will be found to contain 95 d. 52 min. which is the Hour from the Meridian; and the Arch t ae, being measured, will contain 84 degr. 8 min. which is the

Page 118

Hour from Midnight. Also the Arch t S, being measured upon the Chord, will contain 5 degr. 52 min. the Hour from Six.

    d. m.   hours m.
The Arch t AE 95 52 converted in∣to Time is 6 23
t ae 84 08 5 36
t S 05 52 0 23

To convert Degrees and Minutes of the Aequinoctial into Hours and Minutes of Time: Note that 15 Degrees of the Aequi∣noctial make one Hour of Time, and one Degree 4 Minutes of Time. Therefore divide the Degrees of the Aequinoctial by 15, the Quotient is Hours; and multiply the Degrees by 4, and the Product will be Minutes of Time.—So the Hour from the Me∣ridian being 95 degr. 52 min. divide 95 by 15, the Quotient is 6 Hours, and 5 remaining, which 5 multiply by 4, and it makes 20 Minutes of Time, and the 52 min. make 3 minutes of Time and more, almost 4 minutes. So that 95 degr. 52 min. of the Aequinoctial do make in Time 6 hours and almost 24 minutes.

Do you have questions about this content? Need to report a problem? Please contact us.