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

Cambridge univ, exam. papers - 1856
...rectilineal angle, an acute-angled triangle, a circle, parallel lines. 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. Draw a straight line at right angles to a given straight...
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National Society's Monthly Paper

1856
...papers in which this direction is not observed. EUCLID. (First Section.) 1. 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 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
...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, makes...
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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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...express engine at first, and the rate at which the latter travelled. Euclid. 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 terminated in the other extremity. Prove this for the case in which the vertex of one triangle falls...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...the two sides equal to them of the other. DEMONSTRATION. — Pr. 7. On the same side of the same base there cannot be two triangles that have their sides...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 another....
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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
...Hence an equiangular triangle is also equilateral. PROPOSITION VII. 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 in the other extremity. If it be possible, on the same base AB, and upon the same...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...then, upon- the same 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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