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 242
c BEC in E, and joinEC; perpendicular to this, draw CF equal to half the linebisecting the vertical angle, and from F as center, with FC asradius, describe the circle CGII, cutting the straight line pass-in through E and F in G and H; make ED equal to EG, anddraw EDA; lastly, join AB, AC, and ABC… … EC=. But (ITI. 16, cor. 3, and 21) HE.EG or HE.ED=ECand therefore AE.ED^HE.ED; whence AE=:HE, and (I. ax.3) AD=GH = 2CF. AD is therefore equal to the given bisect-ing line, and it bisects the angle BAC. Hence ABC is the re-quired triangle. Method of Computation. Draw EL perpendicular to BC,and join…
Geometry · Trigonometry
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