| Euclides - 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.,... | |
| Thomas Lund - Geometry - 1854 - 522 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...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, equal;... | |
| William Somerville Orr - Science - 1854 - 532 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... | |
| Popular educator - 1854 - 940 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... | |
| Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...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.... | |
| 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 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 - 1854 - 1274 pages
...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... | |
| Robert Potts - 1855 - 1050 pages
...the duty is paid, what ought unroasted coffee to cost, neglecting the expense of roasting? 9. 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 be equal to the angle... | |
| Mathematics - 1866 - 426 pages
...Corollary just as I. 5 follows out of I. 4. Now the general proposition I. 4 is as follows: If two **triangles have two sides of the one equal to two sides of the other, each to each, and have** also the angles contained by those sides equal to one another, they also have their basis on third... | |
| |