 | Euclides - 1863 - 122 pagina’s
...circle (ABCD); end, of all others, that (BC) ,rlrich is nearer to the centre (E) is greater than (l'"G) one more remote: and the greater is nearer to the centre than the less. Because AE is equal (I. Def. 15) to EB. and ED to EC ; therefore AD is equal (I. Ax. 2) to EB and EC;... | |
 | Henry White - 1864 - 156 pagina’s
...and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the outward... | |
 | Euclides - 1865 - 402 pagina’s
...one another ..... m. 14. 4. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the centre is always greater than one more remote ; and conversely, the greater is nearer to the centre than the less .,...,. m. 15. 5. In equal circles, equal... | |
 | Civil service - 1866 - 270 pagina’s
...the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the outward... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otfters, that which is nearer to the centre is always greater...centre than the less. Let ABCD be a circle, of which AD is a diameter, and E the centre ; and let BC be nearer to the centre than FG : AD shall be greater... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...centre than the less. Let ABCD be a circle, of 'which AD is a diameter, and E the centre ; and let BC be nearer to the centre than FG : AD shall be greater... | |
 | Edinburgh univ - 1868 - 336 pagina’s
...contained by the parts. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. Reduce to its briefest form the expression a-[bc-(a + b- <-)]. 6. Find the value of £ (y. - *\... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 pagina’s
...the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the outward... | |
 | Edinburgh univ - 1871 - 392 pagina’s
...than the base of the other. 3. The diameter is the greatest straight line in a circle : and of others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer the centre than the less. 2. To describe a square that shall be equal to a given rectilineal figure.... | |
 | Euclides - 1872 - 102 pagina’s
...CD. QED PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater...greater is nearer to the centre than the less. Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,... | |
| |
THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which... 
