 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.  The Elements of Geometry - Page 31by Webster Wells - 1886 - 371 pagesFull view - About this book
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...triangle is also equilateral. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the other,...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. BB В In the А... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, but 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. QUERIES. 1. What is the general statement of the... | |
 | Public schools - 1884 - 634 pages
...the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively to two sides of the other,...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. 8. Prove that if the... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...sphere until it coincides with ABC. THEOREM VI. 689. If two spherical triangles have two sides of the one equal respectively to two sides of the other,...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. HYPOTHESIS. AB... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...with ABC. TWO-DIMENSIONAL SPHERICS. THEOREM VI. 689. If two spherical triangles have two sides of the one equal respectively to two sides of the other,...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. HYPOTHESIS. AB... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...middle point of the third side. * Proposition 29. Theorem. 119. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle in the first triangle greater than the included angle in the second, then the third side of the first... | |
 | George Irving Hopkins - 1891 - 210 pages
...hypothenuse is equivalent to the sum of the polygons upon the other two sides. ADVANCE THEOREMS. 435. If two triangles have' two sides of one equal respectively to two sides of the other, and their included angles supplementary, the triangles are equivalent. 437. If through the middle point... | |
 | George Albert Wentworth - Geometry, Plane - 1892 - 266 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... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...1890. 1. Two angles whose sides are perpendicular each to each are either equal or supplementary. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...until they meet, and find the areas of the two triangles of which the trapezoid is the difference. 171. If two triangles have two sides of one equal respectively to two sides of another and the included angles supplementary, the triangles are equal in area. PROPOSITION XI. THEOREM.... | |
| |
