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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 15
by John Playfair - 1842 - 317 pages
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...readier mode of bisecting an angle than that contained in Prop. IX. of this book. PB.OP. VII. THEOREM. Upon the same base, and on the same side of it, there cannot be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...and upon the same side of it there cannot be two triangles which have their two sides terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other. 2. If two triangles have two sides of the one equal to two sides of the other, each to...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...EUCLID (A.) DEFINE a plane rectilineal angle, an acute-angled triangle, a circle, parallel lines. 1. Upon the same base, and on the same side of it, there...those which are terminated in the other extremity. 2. Draw a straight line at right angles to a given straight line, from a given point in the same. 3....
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...i/iis direction is not observed. (Three Hours allowed for this Paper.) EUCLID.— (First Section.) 1. Upon the same base, and on the same side of it, there...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 to a point within the...
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National Society's Monthly Paper

1856 - 376 pages
...marks will be given for papers in which this direction is not observed. EUCLID. (First Section.) 1. Upon the same base, and on the same side of it, there...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
...left, so as not to topple over. EUCLID. BOOKS I. II. Ill (A). For all Candidates for a BA Degree. 1. 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...
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The Educational record, with the proceedings at large of the ..., Volumes 3-4

British and foreign school society - 1857 - 548 pages
...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 - 578 pages
...between the train and the 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...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 - 248 pages
...over from B to C, or BC, will equal BA, the altitude. PROP. 7. — THE OR. Upon the same base and upon the same side of it there cannot be two triangles...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 admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...'86. Approximate as far as 4 places of decimals to the square roots of 7, i, and If. Euclid. 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...
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