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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 plane geometry, practically applied; book i, with explanatory notes ... - Side 22
av Euclides - 1863
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...a different situation as EG, FG, then upon the same base EF, and on the same side of it, there can be two triangles that have their sides which are terminated...extremity of the base equal to one another, and likewise their sides terminated in the other extremity ; but this is impossible ; therefore, if the base BC...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...an equiangular triangle is also equilateral. PROPOSITION 7. — Theorem. Upon the same base, and on the same side of it, there cannot be two triangles...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 AB,...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...situation as EG, FG; then on the same base and on the same side of it there will be two triangles having 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. But this is impossible. [I. 7.] Therefore...
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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 - 1876
...what were the chief abuses of the Government under the Plantagenets ? 1. Upon the same base, and on the same side of it, there cannot be two triangles...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If one side of a triangle be produced, the exterior...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...equilateral. 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...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 the same...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...AB-AC. QED NOTE 13. Euclid's Proof of I. 7. Upon (he same base and on Hie so/me tide of it, tJie.rc cannot be two triangles that have their sides which...one extremity of the base equal to one another, and their sides which are terminated in the other extremity of the base equal also. If it be possible,...
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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 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, 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
...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...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 the same...
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