 | John Playfair - Euclid's Elements - 1844 - 338 pages
...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...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... | |
 | Church schools - 1844 - 456 pages
...upon the same base, and on the same side of it, there cannot be two triangles which have the sides terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe... | |
 | Euclid - Geometry - 1845 - 218 pages
...PROPOSITION 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. If it be possible, let there be two triangles ACB,... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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. If it be possible, let there be two triangles ABC,... | |
 | Euclides - 1845 - 546 pages
...PROPOSITION VII. THEOREM. 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. If it be possible, on the same base AB, and upon... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 equal to one another. PROP. VIII. THEOR. If two triangles... | |
 | Euclides - 1846 - 292 pages
...Upon the same base, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and also those terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB,... | |
 | Euclides - 1847 - 128 pages
...THEOR. GEN. ENUN. — 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. PART. ENUN. — Let the two AS ACB, ADB be upon... | |
 | John Playfair - Euclid's Elements - 1847 - 340 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 equai to one another, and likewise those which are terminated in the other extremity, equal to one... | |
 | Euclides - 1848 - 52 pages
...equilateral. PROP. VII. THEOREM. 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. PROP. VIII. THEOREM. If two triangles have two sides... | |
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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. 
