 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, the third side of the first is greater than the third side of the second...  A Text-book of Geometry - Page 46by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...the A KP8 and A'Pi, /iP is common, PS = PL, (3) but KL < KS, (§ 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal :r respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...CD> AB? Why, then, is AC+BC>AB? PLANE GEOMETRY 147. Theorem. — If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the sides opposite these angles are unequal, the greater side being opposite the greater angle. F C... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...twice tl.e first side and that the third side shall be equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...the shortest. 228. In any triangle the sum of two sides is greater than the third side. 232. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third... | |
 | William Betz - Geometry - 1916 - 536 pages
...self-evident. If F falls within the triangle DEC, the proof is similar to the one given above. 232. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...twice tl.e first side and that the third side shall be equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...using Theorem XXIX. 88. Theorem XXXIII. // 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 then the third sides are unequal, and the greater... | |
 | Trinity College (Dublin, Ireland) - 1917 - 560 pages
...are 5 and 7 units to the area of a triangle whose sides are 6, 7, and 9 units. Theoretical. 4. If two triangles have two sides of the one equal respectively...sides of the other, but the included angle of the one greater than the included angle of the other, prove that the third side of the one is • greater... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
.../.B, and a point D in AB be taken so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first... | |
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