| Henry Major - 1873
...a different situation as EG, FG, then upon the same base EF, and on the same side of it, there can **be two triangles that have their sides which are terminated...extremity of the base equal to one another, and likewise** their sides terminated in the other extremity ; but this is impossible ; therefore, if the base BC... | |
| Euclides - 1874
...an equiangular triangle is also equilateral. PROPOSITION 7. — Theorem. Upon the same base, and on **the same side of it, there cannot be two triangles...the base, equal to one another, and likewise those** which are terminated iw the other extremity. C .0 A ~~ "' t. If it be possible, on the same base AB,... | |
| Euclides - 1874
...situation as EG, FG; then on the same base and on the same side of it there will be two triangles having **their sides which are terminated in one extremity of the base equal to one another, and likewise** their sides which are terminated in the other extremity. But this is impossible. [I. 7.] Therefore... | |
| Edward Atkins - 1874
...upon the same base, and on the same side of it, there will be two triangles, which have their sides **terminated in one extremity of the base equal to one another, and likewise** their sides, which are terminated in the other extremity. But this is impossible (I. 7). . BA, AC Therefore,... | |
| Henry Major - 1876
...what were the chief abuses of the Government under the Plantagenets ? 1. Upon the same base, and on **the same side of it, there cannot be two triangles...the base, equal to one another, and likewise those** which are terminated in the other extremity. 2. If one side of a triangle be produced, the exterior... | |
| Robert Potts - 1876 - 403 sider
...equilateral. PROPOSITION VIL THEOREM. Upon the same base, and on the saute side of it, there cannot bt **two triangles that have their sides which are terminated...the base, equal to one another, and likewise those** which are terminated in the Other extremity. If it be possible, on the same base AB, and upon the same... | |
| Euclides, James Hamblin SMITH - 1876 - 349 sider
...AB-AC. QED NOTE 13. Euclid's Proof of I. 7. Upon (he same base and on Hie so/me tide of it, tJie.rc **cannot be two triangles that have their sides which...one extremity of the base equal to one another, and** their sides which are terminated in the other extremity of the base equal also. If it be possible,... | |
| Richard Wormell - 1876
...Upon the same base and on the same side of it, there cannot be two triangles that have their sides **terminated in one extremity of the base equal to one another, and likewise those** which are terminated in the other extremity, equal to one another. 17. Any two angles of a triangle... | |
| Edward Atkins - 1876 - 119 sider
...upon the same base, and on the same side of it, there will be two triangles, which have their sides **terminated in. one extremity of the base equal to one another, and likewise** their sides, which are terminated in the other extremity. But this is impossible (I. 7), .". EA, AC... | |
| Euclides - 1877
...reading of Euclid.] Upon the same base, and on the same side of it, there cannot be two triangles having **their sides which are terminated in one extremity...the base equal to one another, and likewise those** which are terminated in the other extremity. If it be possible, upon the same base AB, and on the same... | |
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