If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal... Elements of Geometry and Trigonometry - Page 93by C. Davies - 1867Full view - About this book
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...on equal spheres, are equal in all their parts, when two sides and the included angle of the one are **equal to two sides and the included angle of the other, each to each.** . 230. Demonstration. Let the side AB = EF (Jig. 23O), the side AC = EG, and the angle BAC = FEG, the... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...-vertical angles. 36. Two triangles arc. equal, -when two sides and the included angle of the one are **equal to two sides and the included angle of the other, each to each.** Demonstration. In the two triangles ABC, DEF (fig. 23), let Fig. 23. the angle A be equal to the angle... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...on equal spheres, are equal in all their parts, when two sides and the included angle of the one are **equal to two sides and the included angle of the other, each to each.** Fig. 230. Demonstration. Let the side AB = EF (fig. 230), the side AC = EG, and the angle BAC = PEG,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...right, when oblique 127 When said to be regular (its axis) 127 (a) Triangular prisms, which have two **sides and the included angle of the one equal to two sides and the included angle** of the other, are equal to one another . . . 138 (i) If the upper part of a triangular prism be cut... | |
| Mathematics - 1835 - 684 pages
...right, when oblique 127 Л\ hen said to be regular (its axis) 127 («) Triangular prisms, which have two **sides and the included angle of the one equal to two sides and the included angle** of the other, are equal to one another . . . 138 (V) If the upper part of a triangular prism be cut... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two **sides and the included angle of the one equal to two sides and the included angle** of the other — it being understood that it is not the sum of the sides which is equal, but that each... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...are given, there are sufficient data for constructing the triangle ; and if two triangles have two **sides and the included angle of the one equal to two sides and the included angle** of the other — it being understood that it is not the sum of the sides which is equal, hut that each... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...of the Triangle. SECTION VI. PROPERTIES OF THE TRIANGLE. 1. If two triangles have two sides, and an **included angle of the one, equal to two sides and the included angle of the other, each to each,** the remaining parts will also be equal. That is, if we have the two triangles, .ABC and DEF, having... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...angles. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are **equal to two sides and the included angle of the other, each to each.** Demonstration. In the two triangles ABC, DEF (fig. 23), Fig. 23 let the angle A be equal to the angle... | |
| Samuel Simon Schmucker - Psychology - 1842 - 262 pages
...demonstration of the theorem of Euclid known as Prop. IV. of Book I., viz. : If two triangles have two **sides, and the included angle of the one equal to two sides and the included angle** of the other, they must be identical or equal in all respects. For it virtually consists in supposing... | |
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