 If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.  Plane and Solid Geometry - Page 61by Seth Thayer Stewart - 1891 - 406 pagesFull view - About this book
 | Harris Ray Greene - English language - 1879 - 380 pages
...polemic discourse. If x — 10 then y = 6 ; if two angles and the included side of one is equal to the two angles and the included side of the other each to each, then, etc. If the pressure is less than our atmosphere the air will expand. If now we exhaust the air,... | |
 | Elias Loomis - Conic sections - 1880 - 452 pages
...etc. PROPOSITION XIII. THEOREM. If two triangles on equal spheres have two angles and the zncluded side of the one equal to two angles and the included side of the other each to each, their third angles will be equal, and their other sides will be equal each to each. If the two triangles... | |
 | Elias Loomis - 1880 - 456 pages
...of the one equal to two sides and the included angle of the other each to each, or two angles a-id the included side of the one equal to two angles and the included side of the other. PROPOSITION XV. THEOREM. In an isosceles spherical triangle, the angles opposite the equal sides are... | |
 | Edward Olney - Geometry - 1882 - 262 pages
...areas are equal. Fio. 204. PROPOSITION vn. 286. Theorem.—Two triangles which have two angles and tie included side of the one equal to two angles and the included side of the other, each to each, are equal. FIG. 205. DBM.— Let ABC and DEF be two triangles, having angle A = angle D, angle B =... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...included angle of the other, each to each, the triangles will be equal in all their parts. THEOREM V. If two triangles have two angles and the included...and the included side of the other, each to each, the triangles will be equal in all their parts. Let ABC and £ D DEF be two triangles, having the angle... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...angle B = angle E, and that the areas are equal. PROPOSITION V. 301. Theorem.—Two triangles which have two angles and the included side of the one equal...and the included side of the other, each to each, are equal. DEMONSTRATION. Let ABC and DEF (Fig. 145) be two triangles, having angle A -- angle D, angle... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...DEF, we have AB = DE, AC = DF, and BC > EF ; then, A > D. If A = D what? If A < D what? THEOREM XVIII. If two triangles have two angles, and the included...included side of the other, each to each, they are equal throughout. Let ABC, DEF, be two triangles having the angles A and B respectively equal to the angles... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...consequently equal in all respects (I., D. 15); which was to be proved. il -= PROPOSITION VI. THEOREM. // two triangles have two angles and the included side...and th.e included side of the other, each to each, the triangles are equal in all respects. In the triangles ABC and DEF, let the angle B be equal to... | |
 | Charles Davies - Geometry - 1886 - 352 pages
...equal parts will coincide. THEOREM V. If two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal to the angle... | |
 | New York (State). Department of Public Instruction - 1887 - 268 pages
...founded ? Define postulate. 2. State the conditions under which two triangles are equal. Prove that if two triangles have two angles and the included...and the included side of the other, each to each, the triangles will be equal in all their parts. 8. Construct a triangle, when the altitude, the vertical... | |
| |
