| John Playfair - Mathematics - 1806 - 320 pages
...terminated in the other extretnity equal to one another. QED »»\ PROP. VIII. THEOR. .V '" IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their biases equal ; the angle which is contained by the two sides of the one' shall... | |
| Euclid - Geometry - 1810 - 554 pages
...equal b to the angle FAG. Therefore, at the given point A in the given' straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. • PROP.^XIV. THEOR. See Note. IF two triangles have two sides of the one equal to two sides of the... | |
| John Mason Good - 1813 - 714 pages
...base equal to one another, and likewise those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each to each, and have likewise their bases equal ; the angle which is contained... | |
| Euclides - 1814 - 560 pages
...b to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle FAG js made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. SeeN. IF two triangles have two sides of the one equal to two sides of the other, each to each, but... | |
| Charles Butler - 1814 - 582 pages
...predicate is that which is affirmed or denied of the subject : thus, in prop. 4. tu-o triangles having two sides of the one equal to two sides of the other, each to each, and the included angles equal, is the subject ; and that such triangles tcill have their bases equal,... | |
| Euclides - 1816 - 588 pages
...equal b to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. See N. IF two triangles have two sides of the one equal to two sides of the other, each to each, but... | |
| 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
...problem of no small utility and importance. ., PKOP. XLVII. i — - --— - -TT - . . . . (LXXI.) If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angles opposite to either pair of equal sides be each a right angle, the triangles shall... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &.c. Q, ED PROP. XXV. THEOR. Jf 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 contained by the sides of that which... | |
| 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... | |
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