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" The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface. "
Elements of Geometry and Trigonometry - Page 168
by Adrien Marie Legendre - 1837 - 359 pages
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...in this movement, by the curve DAE, witl have all its points equally distant centre C» from the 8. The radius of a sphere* is a straight line drawn from the centre to any point in, the surface ; the diameter, or axis, is a line passing through this centre, and terminated on both,...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...generated by the revolution of a semicircle, DAE (fig. 177) about its diameter DE. 417. Definitions. The radius of a sphere is a straight line drawn from the centre to a point in tha Great and Small Circles. Poles. surface ; the diameter or axis is a line passing through...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...tant from the center O. The sector of a circle AOC at the same time generates a spherical sector. 2. The radius of a sphere is a straight line drawn from the center to any point on the surface. The diameter or axis of a sphere is a straight line drawn through...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...revolving round its diameter DE, describes the sphere; any circular sector, as DCF or FCH, describes a 10. The radius of a sphere is a straight line drawn...centre, and terminated on .both sides by the surface. solid, which is named a spherical sector. All the radii of a sphere are equal; all the diameters are...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...diameter AB, which remains unmoved. 2. The radius of a sphere, i# a straight line drawn from the center to any point of the surface. The diameter, or axis, is a line passing through the center, and terminated each way by the surface. 3. It will be shown (Prop. I.), that every section...
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The Elements of Astronomy: Or, The World as it Is, and as it Appears

Anna Cabot Lowell - Astronomy - 1850 - 378 pages
...curved surface, all the points of which are equally distant from a point within called the centre. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter, or axis, is a line passing through the centre, and terminated...
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Elements of physical geography

Hugo Reid - 1850 - 156 pages
...circumference of the circle, passing through the centre to the opposite side. 55. The RADIUS of a circle, or of a sphere, is a straight line drawn from the centre to the surface of the sphere. or circumference of the circle. 56. All radii of the same circle, or same...
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A compendium of modern geography

Alexander Stewart - 1850 - 480 pages
...cireumference of the cirele, passing through the centre to the opposite side. The RADIUS of a cirele, or of a sphere, is a straight line drawn from the centre to the surface of the sphere, or cireumference of the cirele. All radii of the same cirele, or same sphere,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...the sphere, any circular sector, as DCF) or FCAj describes a solid, called a spherical sector. 11. The radius of a sphere is a straight line drawn from...surface ; the diameter or axis is a line passing through the centre, and terminated, on both sides, by the surface. All the radii of a sphere are equal ; all...
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High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - Arithmetic - 1852 - 410 pages
...described by revolving a semicircle ACB about its diameter AB — this diameter remaining unmoved. The radius of a sphere is a straight line drawn from the centre to any point of the surface ; and a diameter is a straight line passing through the centre, and terminated b'oth ways by the surface....
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