| Euclid, John Playfair - 1846 - 334 sider
...FG ; then, upon the same base EF, and upon the same side of it, there can he two triangles EDF, 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... | |
| Sir J. Butler Williams - 1846 - 368 sider
...evident from the theorem, (Euclid, 7, I.) which proves that, "Upon the same base, and 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 likewise those which are terminated in the other... | |
| Euclides - 1846 - 292 sider
...Upon 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 to one another, and** also those terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB,... | |
| Euclides - 1847 - 128 sider
...sides of a A &c. — Q, ED PROP. VII. THEOR. GEN. ENUN. — 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.** PART. ENUN. — Let the two AS ACB, ADB be upon the same base AB, and the same side of it, and let... | |
| John Playfair - 1847 - 340 sider
...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...which are terminated in one extremity of the base** equai to one another, and likewise those which are terminated in the other extremity, equal to one... | |
| Euclides - 1848 - 52 sider
...equiangular triangle is also equilateral. PROP. VII. THEOREM. 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.** PROP. VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each... | |
| 1852 - 316 sider
...Taylor. EUCLID. DIVISION I. SECTION I. 1. Upon the same base and upon the same side of it there canuot **be two triangles that have their sides which are terminated...one another, and likewise those which are terminated** at the other extremity. 2. The greater side of every triangle is opposite the greater angle. 3. To... | |
| Sir Henry Edward Landor Thuillier - 1851 - 826 sider
...evident from the Theorem (Euclid 7. 1.) which proves that " Upon the same base, and 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 likewise those which are terminated in the... | |
| Euclides - 1852 - 152 sider
...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... | |
| Charles Astor Bristed - 1852 - 470 sider
...those only who send in no answers to the lastj paper.) 1. UPON the same base, and on the same side **of it, there cannot be two triangles that have their...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... | |
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