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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 Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 393 pages
...drawn: show that the triangle BAH is equal to the triangle DAH. 5. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles supplementary ; show that the triangles are equal in area. 6. ABCD is a parallelogram, and E,...

## The Foundations of Geometry

Edward Travers Dixon - Geometry - 1891 - 143 pages
...angle opposite to it would be the less (see above), whereas it is the greater. PROPOSITION XIII. If two triangles have two sides of the one respectively equal to two sides of the other, but the angle between the directions of those sides greater in the one triangle than in the other,...

## A Text-book of Geometrical Deductions

James Blaikie, William Thomson - Geometry - 1891 - 160 pages
...triangle which has the greater contained angle shall be greater than the base of the other. 25. If two triangles have two sides of the one respectively equal to two sides of the other but the bases unequal, the angle contained by the two sides of the triangle which has the greater base...

## Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...opposite these sides in the other, are equal in all their parts. (Same.) Corollary IV. Two triangles, with two sides of the one respectively equal to two sides of the other, the two angles opposite these sides, in each triangle, being both acute, or one acute and the other...

## Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 204 pages
...third, that cutting the axis is the greater. Proof. BA = BC + CA' ; BC+ CA > BA'. 304. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater...

## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 500 pages
...be careful to give the authority for each step. 10 2. Under what conditions are two triangles, which have two sides of the one respectively equal to two sides of the other, equal to one another ? 14 3. Give the enunciation and construction of I. II. 14 4. Prove that the parallelograms...

## A Text-book of Geometry

George Albert Wentworth - Geometry, Plane - 1892 - 264 pages
...152. If two triangles have two sides of the one equal respectively to two sides of the other, bufthe 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. In the triangles...

## Elementary Geometry

William Chauvenet - 1893 - 340 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 of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle....