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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. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 13
by Euclides - 1860
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Erchomenon, or, The republic of materialism. By ****[H.C.M. Watson].

Henry Crocker M. Watson - Utopias - 1879 - 280 pages
...rights reserved. ] . " 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 game base AH, and npon...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...triangle is equilateral. 7. 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. 8. If two triangles have two sides of the one equal...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...base and on the same side of it there can be two As which have their sides which are terminated at one extremity of the base equal to one another, and likewise their sides which are terminated at the other extremity ; but this is impossible. (i. 7) Therefore, if the base...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...upon the same base, and on the same side of it, there can be two triangles which have their sides that are terminated in one extremity of the base equal to one another, and also those that are terminated in the other extremity ; which is impossible (I. 7). Therefore, if the...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...position, as GE, GF, then upon the same base and upon the same side of it there can be two A s, which.have their sides which are terminated in one extremity of the base equal, and their sides which are terminated in the other extremity of the base also equal: which is impossible....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...base and on the same side of it there will be^two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise their sides which are terminated at the other extremity. But this is impossible. [I. 7. Therefore since the base...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...same straight line, 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 likewise those which are terminated in the other extremity. 2. Show how to bisect a given finite straight line....
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...9 — 16 inclusive. 1. 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. 2. Any two sides of a triangle are together greater...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
..., are admissible.] I 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. a If one side of a triangle be produced, the extenor...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...BCD is a right angle. 6. 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 their sides which are terminated in the other extremity of the base equal also. 7. Draw a straight...
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