 | Pierce Morton - 1830 - 584 sider
...other side, in a greater ratio. PROP. 47. Required the locus of the vertices of all equal triangles, upon the same base AB, and upon the same side of it. Let ABC be _,: „ any triangle, upon " the given side of the base, and having the given area, and... | |
 | Euclid - 1835 - 540 sider
...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 other extremity : But this is imposa 7. 1. sible " ; therefore, if the... | |
 | 1835 - 684 sider
...other side, in a greater ratio. PROP. 47. Required the locus of the vertices of all equal triangles, upon the same base AB, and upon the same side of it. Let ABC be any triangle, upon the given side of the base, and having the given area, and let P be a... | |
 | 1836 - 488 sider
...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, 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
...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,...those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same... | |
 | Andrew Bell - 1837 - 290 sider
...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
...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
...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
...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. QED PROP. VIII. THEOR. IF two triangles have two sides of the one equal to two sides of the other,... | |
 | Euclides - 1838 - 264 sider
...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 other extremity. But this is* impossible; *7' a- therefore, if the base... | |
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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 extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this... 
