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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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...PROPOSITION 7. — 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 iw the other extremity. C .0 A ~~ "' t. If it be possible, on the same base...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...Proposition 7. — 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. Let the triangles ACB, ADB, upon the same base AB,...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...PROPOSITION 7. THEOREM. 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 those which are terminated in the other extremity. j If it be possible, on the ' • same base AB,...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...respect. . . ~Euclid.—\. 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. If a straight line be divided into two equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION VIL THEOREM. Upon the same base, and on the saute side of it, there cannot bt 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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...7. — Theorem. Upon the same base, and on the same side of it, there cannot bs two triangles tJiat 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. Let the triangles ACB, ADB, upon the same base AB,...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...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 another, and likewise those which are terminated in the other extremity, equal to one another. 17. Any two angles of a triangle...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...Proposition 7.— Theorem. Upon the same base, and mi 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. Let the triangles ACB, ADB, upon the same base AB,...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...reading of Euclid.] 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, upon the same base AB, and on...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...line produced. 3. 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...base, equal to one another, and likewise their sides which are terminated in the other extremity. Show how the proposition which follows, may be demonstrated...
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