 | Robert Simson - 1806 - 546 σελίδες
...PROP. VII. THEOR. UPON the same base, and on the same side of it, See N 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. If it be possible, let there be two triangles ACB,... | |
 | John Playfair - 1806 - 320 σελίδες
...and 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... | |
 | John Mason Good - 1813 - 714 σελίδες
...another. Prop. VII. Theor. 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. Prop. VIII. Theor. If two triangles have two sides... | |
 | Euclides - 1814 - 560 σελίδες
...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 in one...sides terminated in the other extremity: But this is impossible3; • 7. i. therefore, if the base BC coincides with the base EF, the sides BA, AC cannot... | |
 | Euclides - 1816 - 588 σελίδες
...demonstration. Therefore, 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. QED PROP. VIII. THEOR. If two triangles have two... | |
 | John Playfair - 1819 - 350 σελίδες
...and 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...terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the base BC coincides with the base EF, the sides BA, AC cannot but coincide... | |
 | John Playfair - 1819 - 354 σελίδες
...demonstration. Therefore, 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 teminated in the other extremity equal to one another Q,ED PROP. VIlI. THEOR. If two... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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 in one...base equal to one another, and likewise their sides ternanated in the other extremity; but this is impossible; (7. 1,) therefore, if the base BC coincides... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...Proposition Vll. Theorem. 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. If it be possible, let there be two triangles ACB... | |
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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. 
