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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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...circle, parallel lines. 1. 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. Draw a straight line at right angles to a given...
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National Society's Monthly Paper

1856 - 376 pages
...EUCLID. (First Section.) 1. 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 another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...UPON 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 likewise those terminated in the other extremity. 2. If a straight line, falling npon two other straight lines,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...travelled. Euclid. 1. 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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...the other. DEMONSTRATION. — Pr. 7. On the same side of the same base 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. Ax. 8. Magnitudes which coincide are equal to one...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...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 - Geometry, Plane - 1860 - 380 pages
...PROPOSITION VII. 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. If it be possible, on the same base AB, and upon...
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The popular educator, Volume 3

Popular educator - 1860 - 536 pages
...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 - 332 pages
...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 - 714 pages
...13277-9529. Euclid. 1. 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 equal to one another, and likewise those which are terminated in the other extremity. 2. To describe a parallelogram equal to a given...
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