Selected propositions in geometrical constructions and applications of algebra to geometry. Being a key to the appendix of Davies' Legendre (1875)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York, Chicago [etc.] A.S. Barnes & company · leaf 34
en-tre, and a radius CO, equal toCT -j- DB, describe an arc cut-ting BO in the points B and O. With B as a centre, and with aradius equal to BD, describe a circle; also with O as a centre, andthe same radius, describe a second circle. These circles are tangent to the line DP, at the points D and… … Prop. XXXVIII.—Find a point, in the prolongation of any diam-eter of a given circle, such that a tangent from it to the circumferenceshall be equal to the diameter of the circle. Solution.—Let C be the centre of the given circle, and let AB beany diameter. At B, draw BP perpendicular to ABand equal…
Geometry
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