 | 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
...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 to each ; and have likewise the angles contained by those sides equal to one another, their bases, or third... | |
 | 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
...likewi-e those which are terminated in the oiher exiituiiiy. Prop. VIII. Ih'or. If two triangles have I wo sides of the one equal to two sides of the other, each to each, and have likewise their Ьа*е< equal; the angle which is contained by the two side» of tht one shall... | |
 | 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 sides equal... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...one another, and likewise those which are terminated in the other extremity. QED Proposition VIII. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their base« equal ; the angle which is contained by the two sides of the one shall... | |
 | 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... | |
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IF two triangles have two sides of the one equal to two sides of the... 
