 | 1836 - 488 pagina’s
...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 sides,... | |
 | John Playfair - 1837 - 332 pagina’s
...other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the...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 be equal,... | |
 | Euclid, James Thomson - 1837 - 410 pagina’s
...the other, and (I. ax. 8.) be equal to them, viz., the angle ABC to DEF, and the angle ACB to DFE.* Therefore, if two triangles have two sides of the...equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another; their bases are likewise equal,... | |
 | Euclides - 1837 - 112 pagina’s
...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 shall... | |
 | Charles Reiner - 1837 - 254 pagina’s
...the one is equal to the third angle of the other ; that is, the triangles are equiangular. 3. 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 these sides equal, their third sides are equal, the triangles... | |
 | Andrew Bell - 1837 - 290 pagina’s
...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,... | |
 | Charles Reiner - 1837 - 246 pagina’s
...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 before... | |
 | Euclides - 1838 - 264 pagina’s
...of the other, and arc 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...equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, tueir bases shall likewise... | |
 | Robert Simson - 1838 - 434 pagina’s
...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 have their... | |
 | Olinthus Gregory - 1840 - 204 pagina’s
...the two triangles ABC, and ACB, AB is equal to AC, and AC to AB ; therefore, two sides of the one are equal to two sides of the other, each to each ; and the angle BAC is equal to the angle CAB, being in fact one and the same angle ; wherefore, by prop. 4, the base... | |
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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 third sides, equal; and the two triangles shall... 
