 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 páginas
...III on I, Reflex ZAB3C>ZCB3A>ZCB1A. 7. But ZB1B3C =ZCB1B3. 8. .'.ZABuB1 >ZB3BlA. Theorem 11. If two triangles have two sides of the one respectively equal to two sides of the other, bat the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | 1898 - 830 páginas
...triangle and the external bisector of the other base angle is equal to half the vertical angle. 6. If two triangles have two sides of the one respectively equal to two sides of the other, but their bases unequal, their vertical angles are unequal. Give a direct proof of this. 7. Prove geometrically... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 páginas
...the section and the equal sides are equal angles are equal. equal. PROPOSITION X. 77. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 412 páginas
...proof is the same when B2 falls above A'JB1. » ^ ^ — ' C? PROPOSITION XI. . A 78. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | 1900 - 898 páginas
...the side PQ is greater than PI!, prove that the angle PKQ is greater than the angle PQR. 7. 2. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the l>ase of the triangle which has the greater contained angle shall... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...drawn : shew that the triangle BAX is equal to the triangle DAX. 9. If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area. ON PROP. 39. 10. The straiijht... | |
 | Edward Brooks - 1901 - 278 páginas
...for its equal BD, We have AD + DO BC, or AC> BC. Therefore, etc. PROPOSITION XXV. — THEOREM. // two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side will be greater in the triangle having the greater included... | |
 | Edinburgh Mathematical Society - 1901 - 232 páginas
...and EC. Then we can show that AD" and AD' are each less than BE. First, the triangles AD'B and BEA have two sides of the one respectively equal to two sides of the other, but the included angles A and B unequal (since BC> AC). As the angle A > the angle B, we find BE>AD'.... | |
 | 1902 - 482 páginas
...right angles, then these two straight lines are in one and the same straight line. SECTION B. 5. If two triangles have two sides of the one respectively equal to two sides of the other and the contained angles supplemental, the triangles are equal in area. 6. Describe a square equal to the difference... | |
 | James McMahon - 1903 - 380 páginas
...prove that this line is actually fixed in position as P moves. The triangles POM, PON have two sides of one respectively equal to two sides of the other, and the angles opposite a pair of equal sides are right angles ; therefore the angles POM and PON are equal (98).... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
