 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...Exs. VI., 26-38, which follow. EXERCISES ON CHAPTER VI. 1. Point is within, on, or without a sphere according as its distance from the centre is less than, equal to, or greater than a radius ; and conversely. 2. A straight line can meet a sphere in one point, or in two points,... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...Shew that a straight line cuts a circle in two different points, two coincident points, or not at all, according as its distance from the centre is less than, equal to, or greater than a radius. N( 6. Deduce Proposition 32 from Ex. 3, page 202. i, 7. Deduce Proposition 36 from Ex.... | |
 | Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...OQ', that is, greater than the radius. QED COR. 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. Two points in a straight line equidistant from a point O in it, and on opposite sides of O, are said... | |
 | Franz Hocevar - 1903 - 106 pages
...another and to the diameter of the generating semicircle. A point lies inside, on, or outside the sphere according as its distance from the centre is less than, equal to, or greater than the radius. Exercise. — 239. The radii of two spheres are respectively 10 inches and 4 inches : the distance... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...Shew that a straight line cuts a circle in two different points, two coincident points, or not at all, according as its distance from the centre is less than, equal to, or greater than a radius. 6. Deduce Proposition 32 from Ex. 3, page 202. 7. Deduce Proposition 36 from Ex. 7,... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...angle. Postulates. 1. A circumference is determined when its center and radius are known. 2. A point is within, on, or without a circle according as its distance from the center is less than equal to or more than the radius. Propositions on central angles and arcs. Theorem... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...angle. Postulates. 1. A circumference is determined when its center and radius are known. 2. A point is within, on, or without a circle according as its distance from the center is less than equal to or more than the radius. Propositions on central angles and arcs. Theorem... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...diameters of a sphere are equal. (iv) A point is within a sphere, on a sphere, or without a sphere, according as its distance from the centre is less than, equal to, or greater than a radius. (v) Two spheres are equal when they have equal radii. (vi) Radii of equal spheres are... | |
 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...have the same centre are called concentric circles. We observe that a point is within, upon or outside a circle according as its distance from the centre...is less than, equal to, or greater than the radius. Concentric circles whose radii are unequal, do not intersect with each other. A circle is symmetric... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...given length. No. 83. Radii of the same circle (or of equal circles) are equal. No. 34. -A. point is within, on, or without a circle according as its distance from the center is less than, equal to, or greater than a radius. No. 35. Two circles are equal if their radii... | |
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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. 
