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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... "
Papers for the Schoolmaster - Side 272
1852
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...upon the same base EF, 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 iïkewise those terminated in the other extremity. But this is (I. 7) impossible. Wherefore, if the...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 sider
...Paper.) 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...one another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...triangle, a 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...one another, and likewise those which are terminated in the other extremity. 2. Draw a straight line at right angles to a given straight line, from a given...
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National Society's Monthly Paper

1856 - 376 sider
...observed. 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 sider
...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 - 548 sider
...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 - 248 sider
...BA, the altitude. PROP. 7. — THE OR. Upon the same base and upon the same side of it there cannot be two triangles that have their sides which are terminated...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 - 578 sider
...which the latter 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...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 - 672 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 plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...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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