| 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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