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" 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 extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 15
av Euclid - 1810 - 518 sider
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Pure mathematics, Volum 1

Edward Atkins - 1874
...upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one another, and likewise their sides, which are terminated in the other extremity. But this is impossible (I. 7). . BA, AC Therefore,...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...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. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...Upon the same base and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to one...those which are terminated in the other extremity, equal to one another. 17. Any two angles of a triangle are together less than two right angles. .....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...upon the same base, and upon the same side of it, there can be two triangles which have their sides which are terminated in one extremity of the base, equal to one another, and likewise those sides which are terminated in the other extremity; but this is impossible. (1. 7.) Therefore, if the...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in. one extremity of the base equal to one another, and likewise their sides, which are terminated in the other extremity. But this is impossible (I. 7), .". EA, AC...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...and on the same side of it there will be two triangles having their sides which are terminated in the one extremity of the base equal to one another, and...those which are terminated in the other extremity ; but this is impossible : (prop. 7) therefore the sides BA, CA cannot have any situation such as EG,...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one another, and likewise their sides, which are terminated in the other extremity. But this is impossible (I. 7). „-. BA,...
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Erchomenon, or, The republic of materialism. By ****[H.C.M. Watson].

Henry Crocker Marriott WATSON - 1879 - 226 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,...terminated in the other extremity. If it be possible, on the game base AH, and npon the same side of it, let there "be two triangles, ACS, ADB, •which...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...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...those which are terminated in the other extremity. 8. If two triangles have two sides of the one equal to two sides of the other, each to each, and have...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...On the same base, and on the same side of it, there cannot be two triangles which have their sides, which are terminated in one extremity of the base, equal to one another, and likewise their sides which are terminated in the other extremity. Show how the proposition which follows, may...
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