 | 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
...each to each, the triangles will be equal in all their parts. THEOREM V. If two triangles have two angles and the included side of the one equal to two...and the included side of the other, each to each, the triangles will be equal in all their parts. Let ABC and DEF be two triangles, having the angle... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...PROPOSITION XXII. 705. Theorem.—On the same sphere, or on equal spheres, two spherical triangles having two angles and the included side of the one equal to two...and the included side of the other, each to each, are equal, or symmetrical and equivalent. This is a direct consequence of a proposition concerning... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...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 side of the one equal to...and the 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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...proved. PROPOSITION IX. THEOREM. // two spherical triangles on the same, or on equal spheres, have two angles and the included side of the one equal to two...and the included side of the other, each to each, the remaining Ix1rts are equal, each to each. Let the spherical triangles ABC and EFG, on the sphere... | |
 | 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
...postulate. 2. State the conditions under which two triangles are equal. Prove that if two triangles have two angles and the included side of the one equal to two...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... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal, and the triangles are equal. Proposition XXVIII. A Theorem. 65.... | |
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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. 
