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" A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved. "
Lessons on the delineation of form - Page 68
by Charles Richson - 1848
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...triangles ; the fourth by pentagons ; and the fifth by equilateral triangles. 10. A sphere is a solid described by the revolution of a semicircle about its diameter, which remains fixed. The axis of the sphere is the fixed diameter about which the semicircle revolves ; and its centre...
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The Doctrine of Limits with Its Applications: Namely, Conic Sections, the ...

William Whewell - Calculus - 1838 - 212 pages
...through the centre = — , 2 CD 2 chord through the focus == SCHOLIUM. DEFINITIONS FROM EUCLID, BOOK XI. 1. A sphere is a solid figure described by the revolution of a circle about its diameter, which remains fixed. The axis of the sphere is the fixed straight line about...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1840 - 436 pages
...pyramid or cone ; otherwise it ia Oblique. A Sphere is a solid contained under one convex surface, and is described by the revolution of a semicircle about its diameter, which remains fixed. The Centre of the Sphere is such a point within the solid, as is every where equally distant...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...that are opposite are equal, similar, and parallel to one another; and the others parallelograms. XIV. A sphere is a solid figure described by the revolution...semicircle about its diameter, which remains unmoved. XV. The axis of a sphere is the fixed straight line about which the semicircle revolves. XVI. The centre...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...whereof every opposite two are parallel. 6. A cube is a solid figure contained by six equal squares. 7. A sphere is a solid figure described by the revolution of a semicircle about a diameter, which remains unmoved. 8. The axis of a sphere is the fixed straight line about which the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...proportional; that is, which are described by similar rectangles, or similar rightangled triangles. X. A sphere is a solid figure described by the revolution of a semicircle about a diameter of the circle, which diameter remains fixed. XI. The axis of a sphere is the fixed straight...
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The Scientific and Literary Treasury: A New and Popular Encyclopedia of the ...

Samuel Maunder - Encyclopedias and dictionaries - 1843 - 914 pages
...two that are opposite are equal, similar, and parallel to one another; and the others parallelograms. A sphere is a solid figure described by the revolution of a circl.-. A cone is a solid figure described by the revolution ol a right angled triauglc about one...
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A Treatise of Arithmetic: Designed for the Use of the Elementary Schools ...

Arithmetic - 1843 - 142 pages
...a point at the vorlex, and the base any plane figure, as fig. 14. 37. A sphere or globe is a solid described by the revolution of a semicircle about its diameter, which remains fixed, as fig. 15. 38. A cone is a solid, as the pyramid, but whose base is a circle, as fig. 13. MENSURATION...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...that are opposite are equal, similar, and parallel to one another; and the others parallelograms. XIV. A sphere is a solid figure described by the revolution...semicircle about its diameter, which remains unmoved. XV. The axis of a sphere is the fixed straight line about which the semicircle revolves. XVI. The centre...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...be rectangular. 16. A cube is a rectangular parallelepiped, which has all its six sides squares. 17. A sphere is a solid figure described by the revolution...semicircle about its diameter, which remains unmoved. 18. The axis of a sphere is the fixed straight line about which the semicircle revolves. 19. The centre...
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