... if two triangles have two sides of one equal, respectively, to two sides of the other... Plane Geometry - Page 131by 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... | |
| 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... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...BC. .-. BC > EF. QED Proposition 3O. Theorem. 120. Conversely, if two triangles have two sides of the **one equal respectively to two sides of the other, but the third side of the first** triangle greater than the third side of the second, then the included angle of the first triangle is... | |
| 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... | |
| 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.... | |
| Webster Wells - Geometry - 1894 - 256 pages
...ft. 3 in., what is the homologous altitude of the second ? 21. Two triangles are equivalent when they **have two sides of one equal respectively to two sides of the other,** and the included angles supplementary. 22. One diagonal of a rhomhus is five-thirds of the other, and... | |
| Webster Wells - Geometry - 1894 - 400 pages
...50.) Whence, the point A falls at D. PROPOSITION XXVIII. THEOREM. 89. If two triangles have two aides **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... | |
| Webster Wells - Geometry - 1894 - 398 pages
...are equal.] (§66.) But, BH + Gif > BG. PROPOSITION XXIX. THEOREM. 90. (Converse of Prop. XXVIII.) **If two triangles have two sides of one equal respectively to two** shies of the other, but the third side of the first greater than thk third side of the second, the... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...BC'<BX+XC. Or BC'<BC. QED PROPOSITION XXVI. THEOREM 93. If two triangles have two sides of one equal **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 side of the first is greater than the angle opposite the third side... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Proposition XXIV. does it matter in what order the sides are arranged ? PROPOSITION XXV. THEOREM 92, **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... | |
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