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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

## Examinations Papers

1887
...sq. on AB," and for "the rectangle contained by the straight lines AB, CD"is"rect. AB, CD." 1. If two triangles have two sides of the one respectively equal to two sides of the other and the included angles equal, the remaining sides shall be equal. 2. If two triangles have two sides of the one respectively...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 336 pages
...than BC, by Proposition XII. Therefore C is greater than A. PROPOSITION XIV.— THEOREM. 30. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. Let ABC...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 pages
...and substituting EC for its equal ED, BE + EC > BD, or BC > BD. PROPOSITION XV.—THEOREM. 31. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle....

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangle* have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle....

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 336 pages
...43.) 13 EXERCISES ON BOOK IV. THEOREMS. 1. Two triangles are equivalent if they have two sides of th« one respectively equal to two sides of the other, and the included angle of the one equal to the supplement of the included angle of the other. 2. The two opposite triangles formed...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 346 pages
...the triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides uf the cither, and the third sides unequal, the triangle which has the greater third side has the greater...

## A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 274 pages
...THEOREM. 152. // 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 will be greater than the third side of the second. 111 'the triangles...

## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 63 pages
...Three different cases may arise ; prove each. Proposition XXXII. A Theorem. 69. Conversely, if two triangles have two sides of the one respectively equal to two sides of the other and the included angles unequal, the angle opposite the longer third side will be greater than the angle opposite the...