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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...
Elements of Geometry and Conic Sections - Page 27
by Elias Loomis - 1849 - 226 pages

## Essentials of Geometry

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...

## Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

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...

## The Eclectic School Geometry: A Revision of Evan's School Geometry

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...

## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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,...

## The New York Examination Questions: Being the Questions Given at All the ...

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,...

## Principles of Plane Geometry

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....

## Principles of Plane Geometry

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....

## Plane and Solid Geometry

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...