| Daniel Cresswell - Geometry - 1816 - 352 pages
...interior opposite angle, of the spherical triangle PBC. PROP. XVII. (111.) Theorem. If two spherical **triangles have two sides of the one equal to two sides of the** other, eadi to each, but the angle contained by those two sides of the one, greater than the angle... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...that space will be a maximum when the segments are equal. PROP. V. 8. Theorem. Of all triangles having **two sides of the one equal to two sides of the other, each to each,** that which has the two sides perpendicular to each other is the greatest. Let the triangle ACB have... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...FAG is made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
| Daniel Cresswell - Geometry - 1819 - 486 pages
...the greater of the two given figures above the less. PKOP. LXXIII. 96. THEOREM. If two right-angled **triangles have two sides of the one equal to two sides of the other, each to each,** the triangles shall be equal, and similar to each other. If the two sides about the right-angle of... | |
| John Mason Good - 1819 - 800 pages
...rectilineal angle equal to a giren rectilineal angle. Prop. XXIV. Theor. If two triangles have two ¿in **of the one equal to two sides of the other, each to each,** but the angle contained by the two ;ides of one of them greater than the angle contained by the two... | |
| John Playfair - 1819 - 354 pages
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the** othtr, each to each, and have likewise the angles contained by those sides equal to one another ; their... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. IF two triangles havftwo **sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...BC; and therefore also BC is greater than EF. llierefore, if two triangles, Sic. QED Proposition XXV. **Theorem. ' If two triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other ; the angle also contained by the sides... | |
| Euclid - 1826 - 234 pages
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the** other, 8tc. a. KD PROPOSITION V. THEOREM.* The angles which are at the lose of isosceles triangles... | |
| Euclides - 1826 - 226 pages
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the** other, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are... | |
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