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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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The Educational record, with the proceedings at large of the ..., Volumer 3-4

British and foreign school society - 1857
...base and on the same siile of it, there cannot be two triangles, having the two sides terminated m one extremity of the base equal to one another, and likewise those terminated in the other extremity of the base ; when the vertex of one of the triangles falls within...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...Upon the same base and upon 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 equal which are terminated in the other extremity. CONST. — Pst. 1. A st. line may be drawn from...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 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 equal to one another, and likewise those terminated in the other extremity. Prove this for the case in which the vertex of one triangle falls...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...1. On the same base, and on the same side of it, there cannot be two triangles that have the sides terminated in one extremity of the base equal to one another, and likewise those terminated in the other extremity. 2. If a straight line be divided into any two parts, the square...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 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. (l. 7.) Therefore, if the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...base EF, and upon 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 impossible (I. 7); therefore if the base...
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The popular educator, Volum 3

Popular educator - 1860
...upon the same base E p, and upon the same side of it, there can be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those terminated in the other extremity; but this, by the precedin-* proposition, is impossible. Wherefore,...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...On the same base, 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 also those terminated in the other extremity — (first case only). 3. If one side of a triangle be...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...Upon 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...those which are terminated in the other extremity. 2. To describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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 -which are terminated in the other extremity ; bnt this is impossible, (i. 7.) Therefore,...
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