 | 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
...them equal to AD ; wherefore the straight line AE is equal to (1. Ax.) C, and from AB the greater of two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. If two triangles have two sides of the one equal to t-wo sides of the other, each... | |
 | 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...them equal to AD ; wherefore the straight line AE is equal to (1 Ax.) C, and from AB, the greater of two straight lines, a part AE has been cut off equal to С the less. Which was to be done. Propotilion IV. Theorem. If two triangles have two sides of the... | |
 | 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... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...each of them equal to AD; wherefore the straight line AE is equal to* C. and from AB, the greater of two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOR. If two triangles have t1eo sides of the one equal to two sides of the other, each... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, but the... 
