 | 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 (7. i.) ; therefore, if the... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...upon a side of the other, needs no demonstration. Therefore, 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 extrem ity of the base equal to one another, and likewise those which are termina ted in the other... | |
 | John Playfair - Geometry - 1855 - 334 pages
...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...those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same... | |
 | 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... | |
 | 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... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...angle, an acute-angled 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...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.... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...Hours allowed for this Paper.) EUCLID.— (First Section.) 1. Upon the same base, and on the same side of it, there cannot be two triangles that have their...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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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. 
