The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat.
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Title
The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat.
Author
Stirrup, Thomas.
Publication
London :: Printed by R. & W. Leybourn, for Tho. Pierrpont, at the Sun in Pauls Church-yard,
1655.
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Subject terms
Astronomy
Dialing
Geometry
Navigation
Trigonometry
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"The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A93912.0001.001. University of Michigan Library Digital Collections. Accessed May 15, 2024.
Pages
descriptionPage 123
CHAP. XXXI. To finde a side, by knowing the other side, and the angle opposite to the inquired side.
AS the radius,
To the sine of the side given:
So is the Tangent of the angle,
To the Tangent of the side required.
Or
As the sine of the side given,
Is to the radius:
So the cotangent of the angle,
To the cotangent of the side required.
Thus in the rectangle ABC, having the side AB 60 degrees, and the angle BAC 37 degrees 30 minutes, to finde the side BC; I place the threed at the intersection of the contrary sine of 90 degrees, with the right sine of 60 degrees, and it doth cut the contrary Tangent of 37 degrees 30 minutes, at the right Tangent of 33 degrees 36 minutes, the side BC, which was required.
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