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

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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http://name.umdl.umich.edu/A48344.0001.001

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"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

Analogie or Proportion.

(1.) As the Radius 90 degr. is to the Co-sine of the diffe∣rence of Longitude 44 degr.

So is the Tangent of 38 degr. 30 min. to a fourth Tangent 28 degr. 55 min. which taken from the Complement of the Lat. of Jerusalem 58 degr. 20 min. leaves 29 d. 25 m.

(2.) As the Co-sine of the fourth Tangent 61 degr. 35 min. is to the Co-sine of 60 degr. 35 min.

So is the Co-sine of the Latitude of London 38 degr. 30 min. to the Co-sine of the Distance 51. degr. 9 min.

So the two Places propounded being London, lying in North Latitude 51 degr. 30 min. and Longitude 20 degr. and the other, Jerusalem, lying in North Latitude also 31 degr. 40 min. and Longitude 66 degr. you may find their Distance by the foregoing Analogie to be 38 degr. 51 min. which in Miles makes 2331.