| 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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