 | Euclides - 1840 - 82 σελίδες
...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 - 194 σελίδες
...— 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... | |
 | Great Britain. Committee on Education - 1853 - 1218 σελίδες
...upon 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 at the other extremity. 2. The greater side of every triangle is opposite to the... | |
 | Euclides - 1841 - 378 σελίδες
...angles, &c. QED COR.—Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there cannot be two triangles thai have their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Euclides - 1842 - 320 σελίδες
...two angles, &c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. UPON the same base, and on the same side of it, there cannot...triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | John Playfair - 1842 - 332 σελίδες
...which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore, 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... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...ou 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 otlu-r extremity equal to one another. This is proved by examining separately... | |
 | 1844
...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... | |
 | Euclides - 1845 - 544 σελίδες
...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 - 380 σελίδες
...proposition, that if the supposition were true, the triangle DBC would be PROP. VII. THEOR.* — 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... | |
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