 | 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
...have no other point in common; hence, the triangles coincide throughout. Therefore, if two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, the triangles will be equal in all their parts. P then, if EF falls upon BC, angle DEF=angle ABC; if... | |
 | 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 - 170 pages
...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 side of the one...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
...to be 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...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...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 - 1894 - 76 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.... | |
 | 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.... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...Conclusion : / 2 3 and 4 5 6 being any two triangles, etc. PROPOSITION II. 183. Theorem : // two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, they are equal in all their parts. 1 4 Statement : Let the two triangles / 2 3 and 456 have the angle... | |
| |
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. 
