| Pierce Morton - 1830 - 272 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 - 513 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
...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 - 472 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 - 471 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 - 240 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 - 318 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 - 1837 - 390 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,... | |
| Euclid - 1838 - 416 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
...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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