The compleat surveyor containing the whole art of surveying of land by the plain table, theodolite, circumferentor, and peractor ... : together with the taking of all manner of heights and distances, either by William Leybourn.

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Title: The compleat surveyor containing the whole art of surveying of land by the plain table, theodolite, circumferentor, and peractor ... : together with the taking of all manner of heights and distances, either by William Leybourn.
Author: Leybourn, William, 1626-1716.
Publication: London :: Printed by R. & W. Leybourn, for E. Brewster and G. Sawbridge ...,; 1653.
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.
Subject terms: Surveying -- Early works to 1800.
Link to this Item: http://name.umdl.umich.edu/A48331.0001.001
Cite this Item: "The compleat surveyor containing the whole art of surveying of land by the plain table, theodolite, circumferentor, and peractor ... : together with the taking of all manner of heights and distances, either by William Leybourn." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A48331.0001.001. University of Michigan Library Digital Collections. Accessed June 19, 2025.

Pages

PROB. XXV. How to divide a line in power according to any proportion given.

[illustration]

IN this figure let CD be a line given to be divided in power as the line A is to the line B.

First, divide the line CD in the point E, in pro∣portion as A to B, (by the 13 Probleme:) then di∣vide the line CD into two equall parts in the point G, and on G, at the di∣stance GC or GD, de∣scribe the Semicircle CFD, and upon the point E, raise the perpendicular EF, cutting the Semicircle in F: Lastly, draw the lines CF and DF, which together in power shall be equall to the power of the given line CD, and yet in power one to the other as A to B.