| Euclides - 1841 - 378 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 ; * therefore, if the base BC... | |
| Chambers W. and R., ltd - 1842 - 744 sider
...logicians call • dilemma. It is stated in the proposition that, upon the same base, and ou the same side **of it, there cannot be two triangles that have their...another, and likewise those which are terminated in the** otlu-r extremity equal to one another. This is proved by examining separately every possible position... | |
| John Playfair - 1842 - 332 sider
...FG ; then, upon the same base EF, and upon the same side of it, there can be 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... | |
| William Chambers, Robert Chambers - 1842 - 938 sider
...It is stated in the proposition that, upon the am« base, and on the same side of it, there cantol **be two triangles that have their sides which are terminated in one extremity of the base equal to one** uotber, and likewise those which are terminated in tbeodwrntremiry equal to one another. This is proved... | |
| Euclides - 1842 - 316 sider
...EG, FG, then, upon the same base EF, and upon the same side of it, there can 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 this is impossible (7. 1.); therefore, if the base... | |
| 1844 - 456 sider
...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...those which are terminated in the other extremity** equal. 2. Upon a given straight lino, to describe a segment of a circle which shall contain an angle... | |
| John Playfair - 1844 - 338 sider
...then, upon the same base EF, and upon the same side of it, there can be 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 base... | |
| Euclid - 1845 - 218 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... | |
| Euclides - 1845 - 546 sider
...as EG, FG: Then, upon the same base, and upon the same side of it, there can be two triangles which **have their sides which are terminated in one extremity...the base equal to one another, and likewise those** sides which are terminated in the other extremity; but this is impossible. (i. 7.) Therefore, if the... | |
| Euclides, James Thomson - 1845 - 382 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... | |
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