 | 1836 - 488 sider
...are opposite to them, are also equal to one another. VII. 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, equal to one another. VIII. If two triangles have two sides of the one equal two sides of the other,... | |
 | John Playfair - 1836 - 488 sider
...equiangular triangle is also equilateral. ' 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 terminal ed in one extremity of the base equal to one another, and likewise those which are terminated... | |
 | John Playfair - 1836 - 148 sider
...number of straight lines, which meet in one point, are together equal to four right angles. PROP. IV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal... | |
 | Andrew Bell - 1837 - 290 sider
...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 (I. 7) ; therefore, if the base... | |
 | John Playfair - 1837 - 332 sider
...then, upon the same base EF, and upon the same side of it, there can be two triangles EOF, 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... | |
 | Euclid, James Thomson - 1837 - 410 sider
...FG ; then, upon the same base EF, and upon the same side of it, there would be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in * Or, if the three aides of one triangle be equal to the three sides of another,... | |
 | Robert Simson - 1838 - 434 sider
...equiangular triangle is also equilateral. PROP. VII. THEOR. 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. * If it be possible, let there be two triangles ACB, ADB, upon the same base AB, and upon the same... | |
 | Euclides - 1838 - 264 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* impossible; *7' a- therefore, if the base... | |
 | Euclid - 1838 - 470 sider
...the base equal to one another, and likewise those which are terminated in the other extremity. Q,. ED 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... | |
 | Great Britain. Committee on Education - 1853 - 1218 sider
...suffice for the highest class of certificates. Section 1. 1. Upon the same base and upon the same side of it there cannot be two triangles that have their...one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite to the greater angle. 3.... | |
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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. 
