| Euclid, James Thomson - Geometry - 1837 - 410 pages
...demonstration. Therefore on 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. PROP. VIII. THEOR. IF two triangles have two sides... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot he 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, equal to one another. If it he possible, let there... | |
| Robert Simson - Geometry - 1838 - 434 pages
...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 in one...terminated in the other extremity ; but this is impossible ; (7. 1 .) therefore, if the base BC coincides with the base EF, the sides BA, AC cannot but coincide... | |
| Euclides - 1838 - 264 pages
...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 in one...extremity of the base equal to one another, and likewise those which are terminated in the other extremity. QE n. PROP. VIII. THEOR. If two triangles have twosides... | |
| Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...certificates. Section 1. 1. Upon the same base and upon 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 at the other extremity. 2. The greater side of every triangle is opposite... | |
| Euclides - Geometry - 1841 - 378 pages
...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 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... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...the proposition that, upon the same base, and ou 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 otlu-r extremity equal to one another. This is proved by examining... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...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 terminated in one...extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another. Let there be two triangles... | |
| Euclides - 1842 - 316 pages
...PROP. VII. THEOR. UPON the same base, and on the same side of it, there cannot be two triangles having 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. If it be possible, let there be two triangles ACB,... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...the proposition that, upon the amĀ« base, and on the same side of it, there cantol be two triangles that have their sides which are terminated in one extremity of the base equal to one uotber, and likewise those which are terminated in tbeodwrntremiry equal to one another. This is proved... | |
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