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 32
e circle C ; draw QC, andbisect it by a perpendicular SO; from thepoint 0, in which SO and QO intersect, asa centre, and with a radius OP, describethe circle PD. Because SO is perpendicular to QC, at its middle point, OQ = OCand consequently OP = OD. But BP is tangent to the circle O, atP, because… … 26 KEY. Prop. XXXV.—Draw a circle that shall be tangent to a given lineyTP, and also to a given circle C, at a given point Q. Solution.—Let TP be the given line, C the centre of the givencircle, and let Q be any given point onthe circle C. Through Q draw the line CQO, andthrough the same point Q…
Geometry
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