| William James Milne - Geometry, Modern - 1899 - 258 pages
...of the other? Theorem. Two parallelograms are equal, if two sides and the included angle of one are equal to two sides and the included angle of the other, each to each. Data: Any two parallelograms, as ABCD and EFGH, in which AB = EF, AD = EH, and angle A = angle E. To... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...figure may be moved about in space while two of its points remain fixed. PROPOSITION I. 62. Theorem. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. Given... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...briefly the use of definitions, postulates and axioms, respectively, in the science of geometry. 2. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other the two triangles shall be equal... | |
| Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...to notice the relation between the last two propositions. Proposition IV may be stated : HYPOTHESIS. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, CONCLUSION. Then the base and the two... | |
| International Correspondence Schools - Cartography - 1903 - 846 pages
...Stations, - - - 1274 Coaling Stations, - - - 1281 Turntables, . - . . 1285 SURVEYING. GEOMETRY. 1 18O. If two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig.... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...to the sum of the two opposite interior angles, as angle BCD = angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal in all respects.... | |
| Education - 1904 - 938 pages
...axiom, supplementary angle. 2. Demonstrate: If two angles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects. 3. Demonstrate: If a perpendicular be erected at the middle point... | |
| George Clinton Shutts - 1905 - 260 pages
...defin1t1on. PROPOSITION XLVI. 153. Theorem. Two parallelograms which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal in all respects. CD C' Let AD and A'D' represent two parallelograms in which AB is equal... | |
| Cora Lenore Williams - Geometry - 1905 - 56 pages
...triangle; of four angles, a tetragon; of five angles, a pentagon; of six, a hexagon; etc. Theor. B. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are congruent. (If the... | |
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