 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...point in common; hence, the triangles coincide throughout. Therefore, 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 triangles will be equal in all their parts. Scholium.—It will aid the student's... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...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 to two angles 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... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...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 two angles 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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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 angles 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,... | |
 | New York (State). Department of Public Instruction - 1887 - 268 pages
...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 angles 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,... | |
 | 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.... | |
 | 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.... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...other, each to each, they are equal in all their parts. PROP. II. 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, they are equal in all their parts. PROP. III. If two triangles have three sides of the... | |
 | Ephraim Hunt - Geometry - 1894 - 118 pages
...C, the angles are equal. DF=AC, EF=BC. Why? Therefore, CASE II. When 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 remaining parts will be equal, and the triangles are equal. Make any A ABC. Extend... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...and illustrate tangent, sector, rhombus, plane angle. 2 Prove that 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 triangles are equal in all their parts. 3 Prove that two triangles are similar if... | |
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VIf 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... 
