 | 1836 - 488 σελίδες
...lines which intersect one another, cannot be both parallel to the same straight line." PROP. IV. 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, or third... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...found 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... | |
 | John Playfair - 1836 - 148 σελίδες
...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... | |
 | 1836 - 502 σελίδες
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
 | Schoolmaster - 1836 - 926 σελίδες
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
 | Euclides - 1837 - 112 σελίδες
...given straight lines : „ to cut oft' a part equal to \ the less. PROPOSITION IV. Theorem. 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; the bases or third sides of the triangles... | |
 | Andrew Bell - 1837 - 290 σελίδες
...two straight lines, a part AE has been cut off equal to C, the less. PROPOSITION 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, thenbases, or third sides,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...another, and likewise those which are terminated in the other extremity. PROP. VIII. THEOR. 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 : (1.) the angle which is contained by the two sides of the one... | |
 | Charles Reiner - 1837 - 254 σελίδες
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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 the one greater than the angle contained by the... | |
 | Charles Reiner - 1837 - 246 σελίδες
...with one instance of the equality of triangles ; what is it ? P. — Two triangles are equal when they 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. M. — Now, I think, from what you have... | |
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If two triangles have two sides of the one equal to two sides of the... 
