| Adrien Marie Legendre - 1836 - 359 Seiten
...found 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 other, each to each, and the included angles** unequal, the third sides will be unequal; and the greater side will belong to the triangle which has... | |
| John Playfair - 1836 - 114 Seiten
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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 ; their bases shall likewise... | |
| 1836 - 472 Seiten
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. 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 the one greater than the angle contained by the two sides... | |
| Schoolmaster - 1836 - 924 Seiten
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
| 1836 - 502 Seiten
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
| Andrew Bell - 1837 - 240 Seiten
...two straight lines, a part AE has been cut off equal to C, the less. PROPOSITION 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, thenbases, or third sides,... | |
| Euclid - 1837 - 410 Seiten
...the angle A is made equal to the given angle C : which was to be done, f PROP. XXIV. THEOR. IF two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angles contained by those sides unequal : the base of that which has the greater angle is greater... | |
| Charles Reiner - 1837 - 246 Seiten
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : 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 contained by the sides of that... | |
| Euclides - 1837 - 112 Seiten
...angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION 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 two sides of one of them greater than the angle contained by the two sides... | |
| Charles Reiner - 1837 - 254 Seiten
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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 the one greater than the angle contained by the... | |
| |