 | Edinburgh univ - 1868 - 336 pages
...twice the rectangle 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...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.) - Civil service - 1869 - 196 pages
...made up of the half 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...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 pages
...greater 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.... | |
 | Dublin city, univ - 1871 - 366 pages
...construct a square equal to a given rectilineal figure. 5. The diameter is the greatest line in a ciri.le : and of all others that which is nearer to the centre is greater than the more remote ? 6. If a iight line be a tangent to a circle, and from the point of contact... | |
 | Euclides - 1872 - 102 pages
...Cor. and .-. AB = 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...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,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...equal or not to the former. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre...the greater is nearer to the centre than the less. •2) Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...Therefore AB is equal to CD. XV. — TI»e diameter is the greatest straight line in a circle; and, of aU others, that which is nearer to the centre is always...to the centre than the less. Let ABCD be a circle, AD the diameter, and E the centre ; and let BC be nearer to the centre than FG ; AD is greater than... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...made up of the half 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 than one niora remote : and the greater is nearer to the centre than the less. 5. A segment of a circle being... | |
 | Bombay city, univ - 1873 - 614 pages
...cylinder, jrritm, and sphere. 6 •J. Show that the diameter is the greatest straight line in a 6 Circle, and of all others that which is nearer to the centre is always greater than the one more remote. 3. If circles be described upon the sides and hypothenuse 8 of a right angled... | |
 | Edward Atkins - 1874 - 426 pages
...PROPOSITIONS. than Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre...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. Then AD shall be greater... | |
| |
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... 
