 | Euclides - 1881 - 236 σελίδες
...bisection and touches them at these points. PROP. XV. THEOREM. The diameter is 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... | |
 | 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
...sum and 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...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...remote; and the 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... | |
 | Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...whether it is 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
...so that the 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... | |
 | Euclides - 1884 - 434 σελίδες
...are equal to the segments of the other. PROPOSITION 15. THEOREMS. The diameter is the greatest chord in a circle; and of all others that which is nearer to the centre is greater than one more remote. Conversely : The greater chord is nearer to the centre than the less.... | |
 | 1885 - 630 σελίδες
...parts from the whole, and the remainders DBand CE are equal. 4. The diameter is the greatest straight line in a circle ; and of all others, that which is...; and the greater is nearer to the centre than the less. Through a given point within a circle draw the least possible chord. Let ABCD be a circle, diameter... | |
 | Euclides - 1885 - 340 σελίδες
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre,... | |
 | Euclid, John Casey - 1885 - 340 σελίδες
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre,... | |
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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... 
