 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...is the greatest chord in a circle, and of all others ftfi( which is nearer to the centre is alu"u/n greater than one more remote ; 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,... | |
 | Sandhurst roy. military coll - 1880 - 68 σελίδες
...the corresponding algebraical formula. 2. 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. From a given point without a circle, draw a straight line, the part of which intercepted by the circle... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...straight lines &c. 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 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 AD is a diameter,... | |
 | Euclides - 1881 - 236 σελίδες
...the greatest straight line in a circle ; and, of all others, that which is nearer to the centre it greater than one more remote : and the greater is nearer to the centre than the le!s. Let ABCD be a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to... | |
 | 1884 - 538 σελίδες
...three times the square on the other part. 5. 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 that which is more remote ; and the greater is nearer to the centre than the less. 6. Any two chords... | |
 | 1881 - 504 σελίδες
...the line to the plane. 13. 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. Two parallel chords in a circle are respectively six and eight inches in length and one inch apart.... | |
 | Mary W I. Shilleto - 1882 - 418 σελίδες
...difference of AB and AC may be equal to a given square. 2. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre...remote ; and the greater is nearer to the centre than tie less. Show that all equal chords in a circle will be touched by another circle. 3. In a circle,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otJters, that which is nearer to the centre is always greater...greater is nearer to the centre than the less. Let ABCD bo a circle, of which AD is a diameter, and E the centre ; and let BG be nearer to the centre than... | |
 | Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...equal or not to the former. PROPOSITION XV. THEOREM. Tlie diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater than one ,mare remote ; and the greater is nearer lu the centre than the less. Let AB be a diameter of the s... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...rectangle AC, AD is equal to the square on CD. 6. The diameter is the greatest straight line in a circle, and of all others that which is nearer to the centre is greater than one more remote. Two circles cut one another, through a point of intersection draw a straight... | |
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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... 
