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 132
1. Given the base of a triangle, the sum of its sides,and the locus of its vertex a fixed straight line; constructthe triangle. Let AB be the given base, and CD the given locus of vertex. From either extremity A of the base as centre and at adistance equal to the given sum of sides, describe the… … ACB is the required triangle. Because CD bisects BE at rightangles, CD passes through the centre of the circle BEF (III. 1,Cor.), and because F is the point of contact of the two circles andA the centre of one of them, therefore (III. 11) AF passes throughthe centre of the other circle BEF.…
Geometry
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