 | Euclides - Geometry - 1853 - 176 pages
...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... | |
 | Euclides - 1853 - 146 pages
...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... | |
 | Euclides - Geometry - 1853 - 334 pages
...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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...is, it is equal to it. Coa. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides whieh are terminated in one extremity of the base equal to one another, and likewise those which are... | |
 | Sir J Butler Williams - Surveying - 1855 - 306 pages
...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...those which are terminated in the other extremity, equal to one another.' Comprehensive Triangles. The surface to be measured is therefore divided into... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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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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. 
