 | Peter Nicholson - 1825 - 1046 sider
...upon a side of the other, needs uo 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 >n one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | Euclid, John Playfair - 1826 - 326 sider
...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 sider
...Therefore, upon the same base, and on the same side of it, there cannot be two triangles that have thtir sides, which are terminated in one extremity of the base, equal to another, and likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR.... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 sider
...meet.' The other is from Simson's Euclid, prop. 7, b. 1 . ' Upon the same base and on the same side of it, there cannot be two triangles that have their...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 sider
...will meet.' The other is from Simson's Euclid, prop. 7, b. 1. 'Upon the same base and on the same side of it, there cannot be two triangles that have their...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... | |
 | John Playfair - 1832 - 358 sider
...to one another, and likewise those which are terminated in the other extremity equal to one another. QED PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the other each to each, and have likewise their bases equal; the angle which is contained... | |
 | Thomas Perronet Thompson - 1833 - 168 sider
...to one another. PROPOSITION VII. THEOREM. — Upon the same given straight line and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of it equal to one another, and also those which are terminated in the other See Note. extremity. For... | |
 | Euclides - 1834 - 518 sider
...triangle is also equilateral. PROPOSITION VII. See N. THEOR. — Upon the same base, and on the mine side of it, there cannot be two triangles that have their sides which arc terminated in one extremity of the base, equal to one a not her, and likewise those which are terminated... | |
 | Robert Simson - 1835 - 544 sider
...Therefore " upon the same base, and on the same side of it, there cannot be two trianyles that have tfieir sides which are terminated in one extremity of the...two triangles have -two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained... | |
 | Euclid - 1835 - 540 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 imposa 7. 1. sible " ; therefore, if the... | |
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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. 
