 | 582 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1853 - 317 σελίδες
...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... | |
 | Euclides - 1853 - 146 σελίδες
...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 - 1853 - 400 σελίδες
...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 - 1853 - 176 σελίδες
...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 - 334 σελίδες
...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 - 1855 - 336 σελίδες
...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 - 1855 - 306 σελίδες
...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... | |
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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. 
