 | 1867 - 336 pàgines
...also the third angle of the one equal to the third angle of the other. Construct two triangles which have two sides of the one equal to two sides of the other, and the angles equal which are opposite to the less of the two sides. Are such triangles necessarily... | |
 | Euclides - 1852 - 152 pàgines
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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 one another, their bases shall likewise... | |
 | London univ - 1852 - 358 pàgines
...From the 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... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...been 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... | |
 | Euclides - 1853 - 146 pàgines
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. 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 -one another ; they shall likewise... | |
 | Euclides - 1853 - 176 pàgines
...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 - 1853 - 400 pàgines
...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.,... | |
 | Horatio Nelson Robinson - 1854 - 350 pàgines
...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... | |
 | Euclid - 1892 - 460 pàgines
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve two sides of the one equal to two sides of the other,...each, but the angle contained by the two sides of one greater than the angle contained by the corresponding sides of the other ; then the base of that which... | |
 | Queensland. Department of Public Instruction - 1892 - 508 pàgines
...— If a = m + n, then 4<m + ms = (a + n)*. 4. If two triangles have two sides of the one equal to 20 two sides of the other, each to each, but the angle contained by the two sides of one greater than the angle contained by the corresponding sides of the other ; thon the base of that which... | |
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IF two triangles have two sides of the one equal to two sides of the... 
