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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 63

An illustration from Plane and solid geometry, 1912, leaf 63
t. Ex. 145. Construct an isosceles triangle, given an arm and the anglewhich the median to it makes with it. Ex. 146. Construct a triangle, given two sides and the angle which amedian to one side makes : (a) with that side ; {h) with the other side. Ex. 147. Construct a triangle, given a side, an… … Griven A ABC with AC prolonged to D, making exterior Z DCB.To prove Z. DCB > Z. ABC ov Z. CAB. Argument 1. Let E be the mid-point of BCj draw AE, and pro-long it to Fj making EF= AE. Draw CF. 2. In A ABE and EFQ, BE = EC, 3. AE = EF. 4. Z BE A = Z CEF. 5, .\AABE = AEFC. 6. \Zb = Z fce. Reasons…

Geometry, Plane · Geometry, Solid

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