Inside Out Library

Geometry : the elements of Euclid and Legendre simplified and arranged to exclude from geomtrical reasoning the reductio ad absurdum : with the elements of plane and spherical trigonometry, and exercises in elementary geometry and trigonometry / /c By Lawrence S. Benson (1868)

Benson, Lawrence S. (Lawrence Sluter), Legendre, A. M. (Adrien Marie), 1752-1833 · New York : Pub. for the author by Davies & Kent · leaf 180

An illustration from Geometry : the elements of Euclid and Legendre simplified and arranged to exclude from geomtrical reasoning the reductio ad absurdum : with the elements of plane and spherical trigonometry, and exercises in elementary geometry and trigonometry / /c By Lawrence S. Benson, 1868, leaf 180
les of a sphericaltriangle as poles, arcs be described forming a spherical tiiangle,then the veitices of the angles of this second triangle will berespectively poles of the sides of the first, and each angle willbe measured reciprocally by a semicircumference less the sideof the other triangle… … extremities of the aics FE, ED, and DF are respectively re-moved the length of a quadrant from the extremities of thearcs AB, BC, and AC; therefore the extremities of the formerarcs are the poles of the latter arcs, each to each. Since A is the pole of the arc GH, the angle BAG is meas-ured by that…

Geometry · Trigonometry

Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.

More pictures from Geometry : the elements of Euclid and Legendre simplified and arranged to exclude from geomtrical reasoning the reductio ad absurdum : with the elements of plane and spherical trigonometry, and exercises in elementary geometry and trigonometry / /c By Lawrence S. Benson

More like this