 | Euclides - 1874 - 342 pages
...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... | |
 | Edward Atkins - 1874 - 428 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 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,... | |
 | alexander thom - 1875 - 756 pages
...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 pages
...Ac. QED *• . 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 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...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 pages
...equal "' 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...; 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 - Geometry - 1876 - 446 pages
...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... | |
 | Education Department,London - 1876 - 1010 pages
...according аз the vortical angle is lesa or greater than a right angle. 3. In a circle the straight line which is nearer to the centre is always greater than one more remote. If a square and any other parallelogram be inscribed in a circle, the side of the square is greater... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...is equal to the square on half the line. 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. Describe a square about a given circle. 6. Define ratio, part, invertendo, and ex aequali. 7. Triangles... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...Describe a circle about a given square. 7. 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. 8. In equal circles, the angles which stand on equal arcs are equal to one another, whether they be... | |
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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... 
