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 33
encircle, and let Q be any given point onthe circle C. Through Q draw the line CQO, andthrough the same point Q draw QTperpendicular to CO; draw the bisec-trix of the angle QTP, meeting CO inO; draw OP perpendicular to TP, andthen with O as a centre and with OP as a radius, describe the circle O.… … Prop. XXXVI.—Draw a circle that shall pass through a givenpoint Q, and be tangent to a given circle C, at a given point P. Solution.—Let Q be the given point, C the centre of the given cir-cle, and P the given point on that circle. Draw PQ, and bisect it by the per-pendicular DO; draw CP, and…
Geometry
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