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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 133

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 133
cular from A to CD,another triangle can be described satisfying the conditions of theproblem. Hence, in general, two triangles can be described as required. 104 EXERCISES ON EUCLID [142. 142. Given the base of a triangle, the difference of thesides and the locus of vertex a fixed straight line;… … and produce it until DE equals BD. Describe a circle through B,E and touching GFH externally at F (131). Join AF, and pro-duce it to meet CD in C. Join CB. Then ACB is the requiredtriangle. The proof is exactly the same as in the last proposition.If a circle with centre B and radius equal to A F be…

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