 | Harvey Goodwin - 1851 - 196 σελίδες
...College. CHARLES OCTAVUS BCDD, MA, Pembroke College. THURSDAY, Jan. 6. 9... 12. 1. IF two triangles have two sides of the one equal to two sides of the...contained by the two sides, equal to them, of the other. How does it appear that the two triangles are equiangular and equal to each other? 2. The opposite... | |
 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 σελίδες
...because the angles OVK and IVY -are vertical angles, they are equal Therefore the triangles KVO and IVY 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. Wherefore, by the 4th Proposition of the... | |
 | 1851 - 716 σελίδες
...abc, (fig. 14), ab is greater than ac, then is also / acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the... | |
 | Johann Georg Heck - 1851 - 712 σελίδες
...(fig. 14), ab is greater than ac, then is also /_ acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the... | |
 | Janet Taylor - 1851 - 674 σελίδες
...of the sides AC and CD, and the angles ABC, BAC. O..KD Theorem VI II. [Eu. i. 24.] If two triangles have two sides of the one equal to two sides of the otlwr, Lu1 the included angle of the one greater than the included angle of the oilier, (Inn the side... | |
 | London univ - 1852 - 358 σελίδες
...greater of two given straight lines to cut off a part equal to the less. 3. Show that 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 each other ; they shall likewise have their bases, or... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. 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... | |
 | Euclides - 1852 - 152 σελίδες
...Join AG. BAG shall be the angle required.] * xxiii. 1. * iii. 1. PROP. XXIV. THEOR. 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 - 1853 - 146 σελίδες
...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 - 1853 - 176 σελίδες
...greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. 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 oftlie Other; the angle also contained by the sides of... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
