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 25
18 KEY. Prop. XXIII.— Construct a triangle, having given the two anglesat the base and the sum of the three sides. Solution.—Let AB be equal to the sum of the three sides, and G … let the angles BAC and ABC beequal to the angles at the base ofthe required triangle. Draw the bisectrices AT and BT,of the angles A and B, and throughtheir point of intersection T, drawTR parallel to CA or TS parallel to CB. The angles RTA and TAC are equal because they are alternate;but TAC is…
Geometry
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