 | Euclides - 1840 - 82 pagina’s
...them are also equal. COR.—Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. On the same base, and on the same side of it, there cannot be two triangles having their conterminous sides at both extremities of the base, equal to each other. PROP. VIII. THEOR. If two... | |
 | Euclides - 1840 - 192 pagina’s
...— Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. On the same base (AB), and on the same side of it, there cannot be two triangles having their conterminous sides (AC and AD, BC and BD) at both extremities of the base, equal to each other. When... | |
 | Euclides - 1841 - 378 pagina’s
...triangle DBC is equal* to the triangle ACB, the less to the greater, which is absurd. Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles, &c. QED COR.—Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base,... | |
 | Chambers W. and R., ltd - 1842 - 744 pagina’s
...triangle DBC is equal to the triangle ACB, the less to the greater, which is absurd. Therefore, AB is not unequal to AC ; that is, it is equal to it. The corollary or inference drawn from this is, that all triangles having equal angles have also equal... | |
 | John Playfair - 1842 - 332 pagina’s
...equal to that of the triangle (4. 1.) ACB, the less to the greater ; which is absurd. Therefore, AB is not unequal to AC, that is, it is equal to it. COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and... | |
 | 1844 - 456 pagina’s
...of another, of which the solidity is three times that of the former ; 1841. GEOMETRY. 1 . Prove that upon the same base, and on the same side of it, there cannot be two triangles which have the sides terminated in one extremity of the base equal to one another, and likewise those... | |
 | Euclid - 1845 - 218 pagina’s
...DBC is equal to the triangle || ACB, the less to the II 4. i. greater ; which is absurd. Therefore AB is not unequal to AC, that is, it is equal to it....Hence every equiangular triangle is also equilateral. PROPOSITION VII. THEOR. — Upon the same base, and on the same side of it, there cannot be two triangles... | |
 | Euclides - 1845 - 546 pagina’s
...triangles, &c. QED COB. Hence every equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...equal to the triangle ACB, the less to the greater ; which is absurd. Therefore AB is not un- E equal to AC, that is, it is equal to it. Wherefore, if two angles, &c. Cor. Hence every equiangular triangle is also equilateral. axiom, which ought not to be done without... | |
 | Euclides - 1846 - 292 pagina’s
...triangle DBC is equal to the triangle ACB, the less to the greater — which is absurd: Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, If two angles %c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOK. Upon the same... | |
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UPON the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity... 
