 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.  Introduction and books 1,2 - Страница 235написао/ла Euclid - 1908Пуни преглед - О овој књизи
 | 1836 - 488 страница
...one another, the sides which subtend, or are opposite to them, are also equal to one another. VII. Upon the same base, and on the same side of it, there...the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another. VIII. If two triangles have two... | |
 | John Playfair - 1836 - 488 страница
...two angles, &c. QED COR. Hence every equiangular triangle is also equilateral. ' PROP. VII. THEOR. Upon the same base, and on the same side of it, there...be two triangles, that have their sides which are terminal ed in one extremity of the base equal to one another, and likewise those which are terminated... | |
 | Euclides - 1837 - 112 страница
...2. that .'. Aflisnot =/= AC, ie, that AB = AC. PROPOSITION VII. (Argument ad Absurdum.) Theorem. On the same base, and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to each other, and likewise those terminated in the other... | |
 | John Playfair - 1837 - 332 страница
...then, upon the same base EF, and upon the same side of it, there can be two triangles EOF, EGF,that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the... | |
 | Euclid, James Thomson - 1837 - 410 страница
...FG ; then, upon the same base EF, and upon the same side of it, there would be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in * Or, if the three aides of one triangle be equal to the three sides of another,... | |
 | Andrew Bell - 1837 - 290 страница
...equal to it. COR. — Hence every equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot he two triangles that have their sides which are terminated in one extremity of the base equal to one... | |
 | Robert Simson - 1838 - 434 страница
...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...the base equal to one another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. IF two triangles have two sides... | |
 | Euclides - 1838 - 264 страница
...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' a- therefore, if the base... | |
 | Great Britain. Committee on Education - 1853 - 1218 страница
...ability, will suffice for the highest class of certificates. Section 1. 1. Upon the same base and upon the same side of it there cannot be two triangles...the base, equal to one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite to the... | |
 | Euclides - 1840 - 82 страница
...them are also equal. COR.—Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. On the same base, and on the same side of it, there cannot be two triangles having their conterminous sides at both extremities of the base, equal to each other. PROP. VIII. THEOR.... | |
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