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 23, 2025.

Pages

CASE VIII. Two sides and an angle opposite to one of them being given, to finde the angle opposite to the other.

IN the same Triangle, let there be given, the side QS 303, and QR 176, together with the angle QSR 24 degrees 20 minutes, and let it be required to finde the angle QRS, the proportion is,

As the Logarithm of the side QR 176,	2,245513
Is to the sine of the angle QSR, 24 deg. 20 min.	9,614944
So is the Logarithm of the side QS 303,	2,481443
the sum of the second and third numbers	12,096387
the first number substracted from the sum	2,245513
To the sine of the angle QRS,	9,850374

The neerest degree answering to this sine is 45 degrees 10 min. which is the quantity of the angle QRS, required.

By the lines of Sines and Numbers.

Extend the Compasses from 176, to the sine of 24 degrees 20 minutes, the same extent will reach from 303 to 45 deg. 10 min. the angle QRS.

Or, the distance between 176 and 303, will be equall to the di∣stance between 24 degrees 20 minutes, and 45 deg. 10 min.