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 81
ntact (HI. 12), henceCa is the diameter ofa6C, and passesthrough the center ofa5C(IH. 1). NowFH is also tangent to the circle DEC (const.) at the point C;hence, the perpendicular CE (HI. 12) is the diameter of DEC,and passes (HI. 1) through the center of DEC. But Ca andCE are in the same straight… … 78 THE ELEMENTS OF [bOOK IH. Other externally in the point C; their centers will be in thesame straight line with the point of contact. At the point C draw a tangent FH, which will be perpen-dicular to the diameter of ABC (III. 12). FH being tangentat the point of contact of the circles, is also…
Geometry · Trigonometry
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