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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 67

An illustration from Plane and solid geometry, 1912, leaf 67
? 161. (a) In the use of the indirect method the student should give,as argument 1, all the suppositions of which the case he is consideringadmits, including the conclusion. As reason 1 the number of such possi-ble suppositions should be cited. (6) As a reason for the last step in the argument he… … Given A RST with AR^AT,To prove » = f. Argument1. r > ^, T<^ty or r = ^ 2. First suppose r > ^;then /.E> Zjf. 3. This is impossible. 4. Next suppose r <^t\ then Z.R< Z.T. 5. This is impossible. 6. .*. r = ^. Q.E.D. Reasons 1. In this case only three suppositions are admis-sible.…

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