 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...symmetrical with it ABD, in the same manner as two plane triangles are applied, when they have two sides and the included angle of the one respectively equal to two sides and the included angle of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...AC : DF, and, by construction, AG = DE ; therefore AH = 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... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...of the same square; and BF = BC, for the same reason ; 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...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 away by any plane, the... | |
 | Mathematics - 1835 - 684 pages
...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 away by any plane, the... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...symmetrical with it ABD, in the same manner as two plane triangles are applied, when they have two sides and the included angle of the one respectively equal to two sides and the included angle of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
 | Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...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... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...outer angle GHL ; therefore, the triangles BCN, GHL, having two sides and the included angle of the one equal to two sides and the included angle of the other, are equal (Theo. VII, B. I). If now the solid FGLE be applied to the solid ABND, so that the face EL shall coincide... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...indifferently. TWO SIDES AND INCLUDED ANGLE. 284. Theorem. — Two triangles are equal when they have two sides and the included angle of the one, respectively equal to two sides and the included angle of the other. If the angle A is equal to D, and the side AB to angle, if necessary, so that both shall... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...indifferently. TWO SIDES AND INCLUDED ANGLE. 284. Theorem — Two triangles are equal when they have two sides and the included angle of the one, respectively equal to two sides and the included angle of the other. If the angle A is equal to D, and the side AB to the side DF, and AC to DE, then the... | |
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Two triangles are equal when they have two sides and the included angle of the one, respectively equal to two sides and the included angle of the other. 
