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" A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis. "
The new practical gager - Page 32
by Matthew Iley - 1820
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...the circumference of either base so as to be always parallel to the axis 166 (4) A right cylinder is generated by the revolution of a rectangle about one of its sides . . . 167 (c) A cylinder is greater than any inscribed prism, and less than any circumscribed prism;...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...elements at the same distance from the axis, is the kind of cylinder treated of in geometry, and may be generated by the revolution of a rectangle about one of its sides. Cylinders are generally named from their inferior bases. If the inferior base be a circle, ellipse,...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...the circumference of either base so as to be always parallel to the axis 166 (б) A right cylinder is generated by the revolution of a rectangle about one of its sides . . . 167 (c) A cylinder is greater than any inscribed prism, and less than any circumscribed prism;...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...elements at the same distance from the axis, is the kind of cylinder treated of in geometry, and may be generated by the revolution of a rectangle about one of its sides. Cylinders are generally named from their inferior bases. If the inferior base be a circle, ellipse,...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...(fig. 71), as this axis is perpendicular or oblique to the base. A right cylinder will manifestly be generated by the revolution of a rectangle about one of its sides. On the convex surface of the cylinder, innumerable straight lines may be drawn, parallel to each other...
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Iconographic Encyclopaedia of Science, Literature, and Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...(fig.1\), as this axis is perpendicular or oblique to the base. A right cylinder will manifestly be generated by the revolution of a rectangle about one of its sides. On the convex surface of the cylinder, innumerable straight lines may be drawn, parallel to each other...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...circle swept out by that side of the generating triangle including the right angle, which revolves. XXI. A cylinder is the solid figure generated by the revolution of a rectangle about one of its sides, which remains fixed. XXII. The axis of a cylinder is the fixed straight line about which the generating...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...hypothenuse : the base of the cone is a circle. DBF. A Right cylinder is a solid which may be supposed to be generated by the revolution of a rectangle about one of its sides as an axis, the opposite side of the rectangle describing the cylindrical surface : the extremities...
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - Arithmetic - 1856 - 312 pages
...which are parallelograms, as figure C. 4. A CYLINDER is a solid, having equal circles for ends, and is generated by the revolution of a rectangle about one of its sides; as figure D 5. A PYRAMID is a solid, having for its base a plane rectilinear figure; and for its sides...
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Rifles and Rifle Practice: An Elementary Treatise Upon the Theory of Rifle ...

Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...of a sphere are equal ; the diameters are also equal, and double the radii. A cylinder is a solid, generated by the revolution of a rectangle about one of its sides, as an axis. In this revolution, the sides, perpendicular to. the side about which the revolution is...
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