| Euclides - 1852 - 152 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. XXV. THEOR. 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 of... | |
| Euclides - 1853 - 146 pages
...angle FAG is made equal to the given rectilineal angle DCE. Wlu'ch was to be done. PROP. XXIV. — **THEOREM. 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 one of them greater than the angle contained by the two... | |
| Euclides - Geometry - 1853 - 176 pages
...straight lines, a part ae has been cut off equal to С the lese. Which was to be done. PROPOSITION IV. — **THEOREM. If two triangles have two sides of the one equal to two sides** oftlie other, each to each ; and have likewise the angles contained by those sides equal to one another... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' **have two sides of the one equal to two sides of the** other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
| Charles Davies - Geometry - 1854 - 436 pages
...that BO+OC<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles_ **have two sides of the one equal to two sides of the...each, and the included angles unequal, the third sides** will be unequal; and the greater side will belong to the triangle which has the greater included angle.... | |
| Popular educator - 1854 - 922 pages
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two **triangles have two sides of the one equal to two sides of the other, each to each, and the** angle contained by the two sides of the one, the supplement of the angle contained by the two sides... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two **triangles have two sides of the' one equal to two sides of the other, each to each, and** have likewise the angles formed by those sides equal to one another, they shall also have their bases,... | |
| William Somerville Orr - Science - 1854 - 534 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
| Euclid - Geometry - 1892 - 460 pages
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve **two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one greater than the angle contained by the corresponding... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical **triangles have two sides of the one equal to two sides of the** other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
| |