| Euclid, James Thomson - 1837 - 390 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 * Or, if the three aides of one triangle be equal to the three sides of another,... | |
| Euclid, Robert Simson - 1838 - 416 sider
...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...the base equal to one another, and likewise those** which are terminated in the other extremity. * If it be possible, let there be two triangles ACB, ADB,... | |
| Euclides - 1838
...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; *7' a- therefore, if the base... | |
| Great Britain. Committee on Education - 1853
...combined with high practical ability, will suffice for the highest class of certificates. Section 1. 1. **Upon the same base and upon the same side of it there...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 - 351 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
...which 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...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... | |
| William Chambers, Robert Chambers - 1842
...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... | |
| John Playfair - 1842 - 317 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... | |
| Euclides - 1842
...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... | |
| John Playfair - 1844 - 317 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... | |
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