 | 582 pages
...3i per cents, at 97, and what change in income rould be thus effected ? EUCLID. « SECTION I. '• Upon the same base and on the same side of it, there cannot be two "angles, which have their sides which arc terminated in one extremity of the 'ase cqual to one another,... | |
 | Charles Astor Bristed - 1852 - 470 pages
...May, 1843. four Hours. (To be answered by those only who send in no answers to the lastj paper.) 1. UPON the same base, and on the same side of it, there...are terminated in one extremity of the base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a triangle be... | |
 | Euclides - 1852 - 152 pages
...different situation as EG, FG; then, upon the same base EF, and upon the same side of it, BOOK I. 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: • vii. i. But this is impossible"; therefore, if the... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...in which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore, upon the same base, and on the same side of it, there...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... | |
 | 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... | |
 | 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... | |
 | 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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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, equal to one another. 
