| 1844
...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** which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe a segment... | |
| Euclides - 1845
...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...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... | |
| Euclid - 1845 - 199 sider
...different situation as EG, FG, then upon the same base EF, and upon 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 impossiblef; therefore, * 7. i. if the base... | |
| Euclid, James Thomson - 1845 - 352 sider
...FG ; then, upon the same base EF, and upon the same side of it, there would be two triangles having **their sides which are terminated in one extremity of the base equal to one another, and likewise** their sides terminated in the other extremity; but (I. 7) this is impossible: therefore, if the base... | |
| Euclid, John Playfair - 1846 - 317 sider
...FG ; then, upon the same base EF, and upon the same side of it, there can he two triangles EDF, EGF, **that have their sides which are terminated in one...extremity of the base equal to one another, and likewise** their sides terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the... | |
| Sir J. Butler Williams - 1846 - 330 sider
...on the same side of it, there cannot be two triangles that have their sides which are terminated at **one extremity of the base equal to one another, and likewise those** which are terminated in the other extremity, equal to one another." Comprehensive Triangles. The surface... | |
| Euclides - 1846
...Upon the same base, and on the same side of it, there cannot be two triangles which have their sides **terminated in one extremity of the base equal to one another, and** also those terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB,... | |
| Euclides - 1847
...if, when two sides of a A &c. — Q, ED PROP. VII. THEOR. GEN. ENUN. — 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. PART. ENUN. — Let the two AS ACB, ADB be upon the same... | |
| Euclides - 1848
...Hence every equiangular triangle is also equilateral. PROP. VII. 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 in the other extremity. PROP. VIII. THEOREM. If two triangles have two sides of... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...different situation as EG, FG; then, upon the same base EF, and upon 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 (i. 7.) ; therefore, if the base... | |
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