 | Horatio Nelson Robinson - 1854 - 350 σελίδες
...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 - 1854 - 436 σελίδες
...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 σελίδες
...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... | |
 | 1866 - 426 σελίδες
...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... | |
 | 1855 - 1124 σελίδες
...ACADEMY. EXAMINATION PAPERS, JCLT, 1854. LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, 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 Jbelong to... | |
 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...in a given fine which shall beat the same perpendicular distance from two given lines. .'3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by ihe two sides of the one greater than the angle contained by the two sides... | |
 | Euclides - 1855 - 270 σελίδες
...line E (r cuts the straight line DF in some point between D and F. PR 0 P. XXV. THE 0 RE M. 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 two sides of... | |
 | W F. Richards - 1856 - 198 σελίδες
...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz., those which are opposite to equal sides,... | |
 | Henry Martyn Taylor - 1893 - 486 σελίδες
...one of its angles, and having its sides each equal to a given straight line. PROPOSITION 4. If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, the two triangles are equal in all resjiects.... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...drawn parallel to AB and AC, meeting the base in D and E ; show that DE is half of BC. (12.) 9. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles opposite to one pair of equal sides equal, show that the angles opposite to the other pair... | |
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If two triangles have two sides of the one equal to two sides of the... 
