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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 College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Hence every equiangular triangle is also equilateral. PROP. VII.— THEOREM. Upon the same base and on the same side of it, there cannot be two triangles...terminated in one extremity of the. base equal to each other, and lihewise those which are terminated in the other extremity. (References — Prop. I....
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...and DF, then upon the same base and on the same side of it there can be two triangles, EDF and EGF, 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 is (10, Cor.) impossible; therefore if the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which >are terminated at the other extremity. If it be possible, on the same base AB, an^fl the same...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity. If it be possible, on the same base AB, and on the same...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. 3. If a straight line be divided...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same aide of it, there cannot be two triangles that have their...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles t/iat have their sides, which are terminated in one extremity...equal which are terminated in the other extremity. CONS. — Pst. 1. A st. line may be drawn from one point to another. Pst. 2. A st. line may be produced...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...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 first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...that, on the same base, and on the same side of it, there can be two As, having the sides terminating in one extremity of the base equal to one another, and likewise those terminating in the other extremity of the base equal to one another. PROPOSITION VIII. If two triangles...
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