 | Edinburgh univ - 1871 - 392 sider
...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 sider
...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, James Hamblin Smith - 1872 - 376 sider
...whether it is 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...; and 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,... | |
 | Euclides - 1872 - 102 sider
...,:AP=CQ, i. E. 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...remote; and the 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... | |
 | Henry Major - 1873 - 588 sider
...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...; and the greater is nearer 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... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 sider
...straight line which is 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 sider
...cone, 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 sider
...double of CG; PROPOSITIONS. than Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is...remote; and the greater is nearer to the 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... | |
 | Edward Atkins - 1874 - 428 sider
...double ofCG; 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 is always greater t/ian one more remote; and the greater is nearer to the centre t/ian the less. Let ABCD be a circle,... | |
 | Euclides - 1874 - 342 sider
...PROPOSITION 15. — Theorem. 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 tlie centre than the less. Let ABCD be a circle, of which the... | |
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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... 
