| 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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 two sides of the other, each to each** ; and have likewise the angles contained by those sides equal to one another ; they shall likewise... | |
| Euclid - Geometry - 1810 - 554 pages
...those which are terminated in the other extremity. QED PROP. VIII. THEOR. IF two triangles haveTwo **sides of the one equal to two sides of the other, each to each,** and have likewise their bases equal; the angle which is contained by the two sides of the one shall... | |
| John Mason Good - 1813 - 714 pages
...tl.e greater of Mi) giren straight lines to cut off a part equal to the less. Prop. IV. Theor. If two **triangles have two sides of the one equal to two sides of the other, each to each;** and have likewise the angles contained by those sides equal to one another; they shall likewise have... | |
| 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
...another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each,** and" have likewise their bases equal ; the angle which is contained by the two sides of the one shall... | |
| 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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