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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 ... - Side 25
av John Playfair - 1832 - 333 sider
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...different situation, as EG, 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...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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 sider
...different situation, as eg, 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...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 Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853 - 334 sider
...all equal, that is, the triangle ABC is equilateral (Def. 24). Which was to be proved. PEOP. VII. 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, and likewise those terminated...
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Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J Butler Williams - 1855 - 306 sider
...on the same side of it, there cannot be two triangles that have their sides which are terminated at one extremity of the base equal to one another, and...terminated in the other extremity, equal to one another.' Comprehensive Triangles. The surface to be measured is therefore divided into a series of imaginary...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 sider
...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 - 1855 - 976 sider
...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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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 sider
...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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...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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National Society's Monthly Paper

1856 - 376 sider
...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 sider
...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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