| Pierce Morton - Geometry - 1830 - 584 pages
...Anyone of the angles of a triangle is less than two right angles cor. 5 (A) Triangles which have two **sides and the included angle of the one equal to two sides, and the included angle** of the other, each to each, are equal in all respects . . .5 (c) Triangles which have two angles and... | |
| Mathematics - 1835 - 684 pages
...one of the angles of a triangle is less than two right angles cor. 5 (б) Triangles which have two **sides and the included angle of the one equal to two sides, and the included angle** of the other, each to each, are equal in all respects . . .5 (r) Triangles which have two angles and... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. ' 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. Let the side ED be equal to the side BA,... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| George Roberts Perkins - Geometry - 1847 - 308 pages
...parallel, the angle BAC is equal to its alternate angle DCA (Prop. xvii)t; hence the two triangles, **having two sides and the included angle of the one equal to two sides and the included angle** of the other, namely, the side AB equal to. the side CD, the side AC common, and the contained angle... | |
| Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...subtended by them, are also equal ; and the triangles ACE, BCE, having two sides and the included angle of **one equal to two sides and the included angle of the other, are** every way equal, the side BE being equal to AE, and the angle EEC to the angle EAC ; but EAC is a right... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
...by the successive angles ACB, BCD, DCE, ECF. FCA. PROPOSITION V. THEOREM. 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 tc each, the two triangles will be equal Let the side ED be equal to the side BA,... | |
| |