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" A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or... "
The shipwright's vade-mecum [by D. Steel]. - Page 50
by David Steel - 1805
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...solid, generated by the revolution of a segment of a circle about its chord, which remains fixed. 1 8. A spheroid, or ellipsoid, is a solid, generated by...revolution of an ellipse about one of its axes. It is prolate, when the revolution is about the transverse axis ; and oblate, when about the conjugate. 19....
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...parameter. 14. The ellipse and hyperbola have each two foci : but the parabola haS only one focus. 15. A spheroid or ellipsoid is a solid generated by the revolution of an ellipse about one of its diameters. If the revolution be made about the transverse diameter, the solid is called a prolate spheroid...
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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - Astronomy - 1827 - 464 pages
...the means of predicting them. ,roaches nearly to a sphere ; whereas it ordinarily denotes, in Engsh, a solid generated by the revolution of an ellipse about one of its xcs, and answers to what the French call an ellipsoid of revolution. Jlstron. 29 We shall begin with...
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Historical and descriptive account of British India, by H. Murray [and others].

1832 - 486 pages
...survey the meridian of the Dodagoontah station, or of Savendroog, was continued south to * Ellipsoid, a solid, generated by the revolution of an ellipse about one of its axes, in this case the lesser. Punnae, in the lat. of 8° 10' ; and the series of triangles for extending...
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Historical and Descriptive Account of British India, from the Most ..., Volume 3

Hugh Murray - India - 1832 - 392 pages
...and the series of triangles for extending its length was continued to the same point. * Ellipsoid, a solid generated by the revolution of an ellipse about one of its axes : in this case the lesser. In the extent of this prolongation two new bases were measured,— one at...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 484 pages
...height This is a figure produced by the rotation of a parabola upon its axis. 6. Spheroid. — This is a solid generated by the revolution of an ellipse about one of its axes. To find its capacity multiply the square of the revolving axis by the fixed axis, and that product...
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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - Astronomy - 1834 - 504 pages
...stand for any figure that approaches nearly to a sphere ; whereas it ordinarily denotes, in English, a solid generated by the revolution of an ellipse about one of its axes, and answers to what the French call an ellipsoid of revolution. 371. By examining carefully the disc...
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Two Geometrical Memoirs on the General Properties of Cones of the Second ...

Michel Chasles - Cone - 1837 - 564 pages
...— су f(a% ~ cx\ • — ' 50. To find the equation to the surface of a spheroid. This surface is generated by the revolution of an ellipse about one of its axes. Let С A (fig. 16.) be a quadrant of an ellipse which, by revolving about its axis ОС coinciding...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...diameters are unequal, and whose vertical section through the centre of its sides is elliptical. 11. A spheroid or ellipsoid is a solid generated by the revolution of a semi-ellipse about one of its axes, which remains fixed. If the ellipse revolve round the transverse...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...diameters are unequal, and whose vertical section through the centre of its sides is elliptical. 11. A spheroid or ellipsoid is a solid generated by the revolution of a semi-ellipse about one of its axes, which remains fixed. c If the ellipse revolve round the transverse...
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