| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 1894 - 1186 pages
...if he had 8 less of each he would only have 6 geese for 7 ducks. How many had he of each ? 7. If two **triangles have two sides of the one respectively equal to two sides of the other,** but the contained • angles unequal, the base of the triangle which has the greater contained angle... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...1891. 1. Prove that if two triangles have two sides of the one equal 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. Also prove the... | |
| |