If two triangles have two sides of 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 Geometry - Page 130by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
| George Peacock - Algebra - 1830 - 732 pages
...involving them) and also tor the third jf we should take, therefore, as in Geometry, two triangles which **have two sides of one equal respectively to two sides of the other,** and the included angles equal, then the respective equality of the remaining angles in each triangle... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and **the included angle of the first greater than the included angle of the second, the** third side of the first will be greater than the third side of the second. FIRST BOOK. In the two triangles... | |
| George Roberts Perkins - Geometry - 1860 - 472 pages
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, **the included, angle of the first greater than the included angle of the second,** th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
| Richard Wormell - Geometry, Modern - 1868 - 286 pages
...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 has the greater angle is greater... | |
| Richard Wormell - 1876 - 268 pages
...second. 2nd. Example. — A similar series of propositions occurs again in Theorems V. and XIII. " When **two triangles have two sides of one equal respectively to two sides of the other,"** and — (a) " The included angle of the one equal to the included angle of the other, the base of one... | |
| Robert Fowler Leighton - 1877 - 372 pages
...that when two triangles have two sides of the one respectively equal to two sides of the other and **the included angle of the first greater than the included angle of the second, the** third side of the first is greater than the third side of the second. 3. Show how to draw a tangent... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...THEOREM. 115. If two triangles hare two sides of the one equal respectively to two sides of the oiher, **but the included angle of the first greater than the included angle of the second,** then the third siile of the ftrsl will be greater than the third side nf the second. BDB In the AAB... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...triangle is also equilateral. PROPOSITION XXXI. THEOREM, 115. lf two triangles have two sides of the **one equal respectively to two sides of the other, but the included angle of** thefirst greater than the included angle of the second, then the third side of the first will be greater... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...two spherical triangles have two sides of the one equal respectively to two sides of the other, hut **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. 3. To draw an •... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...equilateral. GEOMETRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the **one equal respectively to two sides of the other, but the included angle** (f the first greater than the included angle of the second, then 1lie third side of the first will... | |
| |