 | Literary and Philosophical Society of Liverpool - 1870 - 312 pages
...which is not in the other, the boundaries of those figures must cut;" and, " every point is within or without a circle, according as its distance from the centre is more or less than the radius." I. 4 assumes the postulate, "any figure may be removed from place to... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...OA ; OA, OB; and twice the sum of the squares on OA, OB, OC. BOOK III. POSTULATE. A POINT is within, or without, a circle, according as its distance from the centre is less, or greater than, the radius of the circle. DEF. I. A straight line, as PQ, drawn so as to cat a circle... | |
 | Euclides - 1872 - 102 pages
...ant) RIVINGTONSPRINTED BY CJ CLAY, MA AT THE UNIVERSITY PRESS. BOOK III. POSTULATE. A POINT is within, or without, a circle, according as its distance from the centre is less, or greater than, the radius of the circle. DEFINITIONS. I. A straight line, as PQ, drawn so as to cut... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...Def. 8 : (a) A circle has only one centre. (&) A point is within, on, or without the circumference of a circle, according as its distance from the centre...is less than, equal to, or greater than the radius. (¿•) The distance of a point from the centre of a circle is less than, equal to, or greater than... | |
 | James Maurice Wilson - 1878 - 450 pages
...Def. 8 : (a) A circle has only one centre. (li) A point is within, on, or without the circumference of a circle, according as its distance from the centre...is less than, equal to, or greater than the radius. (c) The distance of a point from the centre of a circle is less than, equal to, or greater than the... | |
 | Mathematical association - 1883 - 86 pages
...Def. 8 : (a) A circle has only one centre. (6) A point is within, on, or without the circumference of a circle, according as its distance from the centre...is less than, equal to, or greater than the radius. (c) The distance of a point from the centre of a circle is less than, equal to, or greater than the... | |
 | Euclides - 1884 - 434 pages
...another circle concentric with the former. 5. A straight line will cut, touch, or lie entirely outside a circle, according as its distance from the centre is less than, equal to, or greater than a radius. 6. Draw a tangent to a circle which shall be || a given straight line. 7. Draw a tangent... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...point is a circle ; also that any point P in the plane is inside, outside, or on the circumference of a circle according as its distance from the centre is less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be... | |
 | Euclides - 1885 - 340 pages
...point is a circle ; also that any point P in the plane is inside, outside, or on the circumference of a circle according as its distance from the centre is less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be... | |
 | Euclid - Geometry - 1892 - 460 pages
...that a straight line cuts a circle in two different points, t\vo coincident points, or not at all, according as its distance from the centre is less than, equal to, or greater than a radius. 0. Deduce Proposition 32 from Ex. 3, page 188. 7. Deduce Proposition 36 from Ex. 7,... | |
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A point is within, on, or without the circumference of a circle, according as its distance from the centre is less than, equal to, or greater than the radius. 
