| John Playfair - 1806 - 320 σελίδες
...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*... | |
| John Mason Good - 1813 - 714 σελίδες
...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...those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each... | |
| Euclides - 1816 - 588 σελίδες
...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 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 - 354 σελίδες
...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 triangles have... | |
| John Playfair - 1819 - 350 σελίδες
...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
...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 in one 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... | |
| Robert Simson - 1827 - 546 σελίδες
...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 extremity of the base, equal to one another, and likewise their sides terminated in the *?•1• other extremity : but this is * impossible; therefore, if the... | |
| Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 σελίδες
...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...those which are terminated in the other extremity.' Now we presume there can be no doubt, which of these two methods is best adapted to the conception... | |
| Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 σελίδες
...'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...those which are terminated in the other extremity.' Now we presume there can be no doubt, which of these two methods is best adapted to the conception... | |
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