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 84
le BAG in the pointB, and let the straight line BA be drawn dividing the circleinto the segments AGB, AB ; the angle ABE is equal to any an-gle in the segment AGB, and the angle ABD to any angle in AB. If AB (fig. 1) be perpendicular to DE, it passes (III. 12, cor.)through the center, and the… … D B E D B E pendicular to it; join FA and produce it to E; join also CA, BOOK in.] EUCLID AND LFGKNDRE. 81 CB, C being any point in the arc ACB. Then (TIT. 12, cor.)BF is a diameter, and (III. 11, and I. 9) the angles BAF, BAEare riglit angles. Therefore, in the triangles J^AE, FBE, theangle E is…
Geometry · Trigonometry
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