| Robert Simson - 1806 - 546 páginas
...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... | |
| John Playfair - 1806 - 320 páginas
...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** Book I. another, and likewise their sides terminated in the other \^f>fn^ extremity : but this is impossible*... | |
| Euclid - 1810 - 554 páginas
...the same base, and on the same side of it, there cannot be two triangles that have their sides see **which are terminated in one extremity of 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,... | |
| John Mason Good - 1813 - 714 páginas
...to» the equal angles, shall be equal to one another. 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. Prop. VIII. Theor. If two triangles have two sides of... | |
| Euclides - 1814 - 560 páginas
...equiangular triangle is also equilateral. PROP. VII. THEOR. UP0N the same base, and on the same side of 5 **it, there cannot be two triangles that have their...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 - 1816 - 588 páginas
...• ent 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*; • 71 1. therefore, if the... | |
| John Playfair - 1819 - 350 páginas
...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...the base equal to one another, and likewise those** which are teminated in the other extremity equal to one another. Q, ED PROP. VIII. THEOR. //~ two triangles... | |
| John Playfair - 1819 - 354 páginas
...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... | |
| Peter Nicholson - 1825 - 1046 páginas
...diflerent situation as EG, FG, then, upon the same base EF, and upon t he 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 side» terminated in the other extremity : But this is impossible ; therefore, if the base BC... | |
| Euclid, John Playfair - 1826 - 326 páginas
...the same base, and on the same side of it, thereeasnot be two triangles that have their sides whieh **are terminated in one extremity of the base equal to one another, and likewise those** whieh are terminated iu the other extremity equal to one another, QED ~f PROP. VIII. THEOR. If two... | |
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