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
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 prolongit till it meets DO, in O; with O as acentre and OP as a radius, describe thecircle OP. Because DO… … PROPOSITIONS FEOM LEGENDRE. 27 Prop. XXXVII.—Draw a circle, with a given radius, thai shallbe tangent to a given line DP, and to a given circle C. Solution.—Let DB be the given radius, DP the given line, and C the centre of the given circle,and CT its radius. Draw a line BO, parallel toDP, and at a…
Geometry
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