 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...former. 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...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 - 1873 - 588 pàgines
...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 greater...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 pàgines
...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... | |
 | Edward Atkins - 1874 - 426 pàgines
...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. Then AD shall be greater... | |
 | Euclides - 1874 - 342 pàgines
...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 - 756 pàgines
...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 pàgines
...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. Then AD shall be greater... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pàgines
...former. 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 0, and let CD be any other chord, not a diameter,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pàgines
...former. 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...; and the greater is nearer to the centre than the Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,... | |
 | Robert Potts - 1876 - 446 pàgines
...center is always greater than one more remote : and conversely the greater is nearer to ike center than the less. Let ABCD be a circle, of which the diameter is AD, and the center E ; and let JJCbe nearer to the center than FG. Then AD shall be greater than any straight line... | |
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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... 
