Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 137
cle. Inscribe (144) atriangle BCH in the given circle,having its two sides BC\ HCing through the fixed points P. Gand its base BR parallel to thegiven line PQ. Join QC. and pro-duce it to meet the circumferenceagain in A, and join AB. ThenABC is a triangle inscribed as re-quired. For, if possible,… … 146.] AND IX MODERN GEOMETRY. 109 BAC and CGQ are equal, and therefore the quadrilateral APGC iscircnrascribable by a circle, therefore AQ . QC = PQ . QG% but PQ . QO = AQ . QC (constr.). Therefore PQ . QG^PQ.QG, and therefore PQ = PQ. which isimpossible. Therefore AB produced must pass through P.…
Geometry
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