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If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second....
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 28
by George Roberts Perkins - 1856 - 235 pages

## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...I. 41. * ' The 4th, 8th, 24th, and,<25th propositions may be announced together thus : — ' if two triangles have two sides of the one respectively equal to two sides of the other, the remaining side of the one will be greater or less than, or equal to, the remaining side of the...

## Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...angle A given, there are two triangles, ABC andABD. " ~5~ ~v UNEQUAL TRIANGLES. Theorem. — When two triangles have two sides of the one respectively equal to two sides of the other, and the induded angles unequal, the third side in that triangle which has the greater angle, is greater than...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between...

## An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1868 - 261 pages
...respectively equal to the three angles of another, while the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which...

## Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 436 pages
...radius, describe a circumference in the plane MN, cutting CD at D. N Then the triangles ACD and ACB have two sides of the one respectively equal to two sides of the other. But the third side AD is longer than the third side AB (530). Therefore, the angle ACD is greater than...

## An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 16 pages
...angles in each, or opposite one of them, the triangles are equal in all respects. (§ &&b). 14. When two triangles have two sides of the one respectively equal to two sides of the other, but the angle contained by the two sides of the one greater than the angle contained by the two sides...

## A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 270 pages
...secured by bringing together the two greatest sides. PROPOSITION X. Fio. 210. 295. Theorem.—If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having...

## A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 566 pages
...bringing together the two greatest sides. Fia. 210. PROPOSITION X. 295. Theorem. — If two triangles hare two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side Iclongs to the triangle having...