 | 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... | |
 | alexander thom - 1875 - 758 sider
...triangle. 2. Prove that the diameter is the greatest line in a circle; and that, of all others, the one which is nearer to the centre is always greater than one more remote. 3. Two triangles have one angle in the one equal to one angle in the other, and the sides about the... | |
 | Edward Atkins - 1876 - 130 sider
...equal straight linen, Ac. QED *• . 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... | |
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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... 
