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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 55

An illustration from Plane and solid geometry, 1912, leaf 55
is the locus of the vertex of the angle oppositethe base ? 133. Question. In which of the exercises above was a triangledetermined 9 * In order to develop the imagination of the student the authors deem it advisablein this article to introduce questions involving loci in space. It should be noted… … A C B Given line AB, its J« bisector C-D, and P any point in CD.To prove PA = PB. Argument 1. In A APC and CPB, AC = CB. 2. pc=pc. 3. Z PCA = Z BCP. 4. .-.A APC=^A CPB, 5. .\PA = PB. Q.E. D. Reasons 1. By hyp. 2. By iden. 3. All rt. A are equal. § 64. 4. Two A are equal if two sides and the…

Geometry, Plane · Geometry, Solid

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