 | Euclid, John Playfair - 1853 - 336 Seiten
...another.^PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the othet each to each, and have likewise their bases equal ; the angle which is contain ed by the two sides of the one shall be equal to the angle contained by the twosides of the... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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.,... | |
 | Thomas Lund - 1854 - 520 Seiten
...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, or third sides,... | |
 | Horatio Nelson Robinson - 1854 - 350 Seiten
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal.... | |
 | William Somerville Orr - 1854 - 534 Seiten
...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... | |
 | Popular educator - 1854 - 922 Seiten
...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... | |
 | Charles Davies - 1854 - 436 Seiten
...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... | |
 | Popular educator - 1852 - 1272 Seiten
...above mentioned. Let лис, fig. 1, and DBF, figs. 2, 3, aud 4, be two triangles which have two Rides of the one equal to two sides of the other each to euch, viz., the side AB to the side DE, and the side AC to the side DF, but the angle ВАС greater... | |
 | Euclid, John Bascombe Lock - 1892 - 188 Seiten
...joining their vertices is bisected by the straight line containing their bases. 4. Two triangles, which have two sides of the one equal to two sides of the other respectively and have the included angles supplementary, are of equal area. 5. The side BC of... | |
 | Seth Thayer Stewart - 1893 - 262 Seiten
...ACGF (P. xx., CI); and, also, Д D BE = JDEGF; and, .-., Д DBE + & ABC= J oACED. (Ax. in.) 5. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the included angles are supplementary, the two triangles will be equivalent. The Дs have — bases... | |
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If two triangles have two sides of the one equal to two sides of the... 
