| Robert Simson - 1827 - 513 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.... | |
| 1828
...produced, 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...the base equal to one another, and likewise those** which are terminated in the other extremity.' Now we presume there can be no doubt, which of these... | |
| 1828
...produced, 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...the base equal to one another, and likewise those** which are terminated in the other extremity.' Now we presume there can be no doubt, which of these... | |
| Euclides - 1834
...triangle is upon a side of the other, needs no demonstration. Therefore, upon the same base, and on **the same side of it, there cannot be two triangles...terminated in one extremity of the base, equal to** another, and likewise those which are terminated in the other extremity. 9. ED PROPOSITION VIII. THEOR.... | |
| Euclid - 1835 - 513 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... | |
| Robert Simson - 1835 - 513 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 base equal to one another, and likewise those** which are terminated in the other extremity." QED PROP. VIII. THEOR. If two triangles have -two sides... | |
| 1836 - 472 sider
...which subtend, or 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,...the base equal to one another, and likewise those** which are terminated in the other extremity, equal to one another. VIII. If two triangles have two... | |
| John Playfair - 1836 - 311 sider
...same base EF, and upon the same side of it, there can be two triangles EDF, EGF, that have thensides **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 a ; there- a 7. 1. fore, if... | |
| Andrew Bell - 1837 - 240 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 - 318 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... | |
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