 | Robert Simson - 1806 - 546 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...• 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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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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Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity. 
