 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 are equal in all respects.  Elements of Geometry - Page 45by Simon Newcomb - 1881 - 399 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...= DF. The two triangles AGH, DEF, have the two sides and the included angle of the one respectively equal to two sides and the included angle of the other ; they are consequently equal. But the triangle AGH is similar to ABC; therefore DEF is also similar to ABC. THEOREM.... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...consequently the triangles ABF, HBC, have two sides and the included angle of the one respectively equal to two sides and the included angle of the other ; they are therefore equal (36). The triangle ABF is half of the rectangle BE], which has the same base BF and... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...= DF. The two triangles AGH, DEF, have the two sides and the included angle of the one respectively equal to two sides and the included angle of the other; they are consequently equal. But the triangle AGH is similar to ABC; therefore DEF is also similar to ABC. THEOREM.... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...respects. (a) 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
...respeits. (aj Any 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... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...angle included between them, are given, there are sufficient data for constructing the triangle ; and if two triangles have two sides and the included angle...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
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and the included angle...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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. ' If two triangles have two sides and the included angle...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,... | |
 | Eugenius Nulty - Geometry - 1836 - 242 pages
...conditions which determine such equality are comprised in the four following theorems. THEOREM VI. 38. 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 remaining sides and angles... | |
 | 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,... | |
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