| Euclides - 1881
...circle p« w, through all the points of bisection and touches them at these points. PROP. XV. THEOREM. **The diameter is the greatest straight line in a circle...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
...given plane to meet it, the least is that which measures the inclination of 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... | |
| Mary W I. Shilleto - 1882
...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,... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...extremity of the base, equal to one another, and likewise those terminated in the other extremity. 6. **The diameter is the greatest straight line in a circle, and of all others** the greater is nearer to the centre than the less. 7. Define equal triangles, and prove that if equal... | |
| Euclides, James Hamblin Smith - 1883
...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... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...Therefore AS is equal to CD. Wherefore, equal straight lines &c. QED [Axiom 6. 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 than one more remote; and the greater... | |
| Woolwich roy. military acad - 1884
...equal to BC, shew that AC is divided in D so that the rectangle AC, AD is equal to the square on CD. 6. **The diameter is the greatest straight line in a circle,...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
...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
...FE and BF = FC. Take away the equal parts from the whole, and the remainders DBand CE are equal. 4. **The diameter is the greatest straight line in a circle...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... | |
| Euclid, John Casey - 1885 - 312 sider
...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, OA... | |
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