Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 73
Propositiox XX. Theorem (Converse of Prop. XIX) 173. If two triangles have two sides of one equal respec-tively to tivo sides of the other, but the third side of thefirst greater than the third side of the second, then theangle opposite the third side of the first is greater thanthe angle opposite… … Given A J ^(7 and DEF with AB =z DE, BC = EF, but AC> DFTo prove Ab > ZLe, BOOK 1 63 Argument L Zb<:Ze, Zb = Ze, or Zb>/.E.2, First suppose Zb<,ZE, then AC<DF, 3. This is impossible. 4. Next suppose Zb ~ ZE; then AABC=ADEF. 6. .-. AC=DF. 6. This is impossible. 7. .-. Zb>Ze.…
Geometry, Plane · Geometry, Solid
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
