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" To find the general equation to cylindrical surfaces. A cylindrical surface is generated by a straight line which moves parallel to itself, and always passes through a given curve. "
A Treatise on Infinitesimal Calculus: Differential calculus. 1857 - Page 526
by Bartholomew Price - 1857
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...constrained to move after some given law or condition. ON CYLINDRICAL SURFACES. 503. Definition. Л cylindrical surface is generated by a straight line, which moves parallel to itself in space, and describes, with its extremity, a given curve. The straight line which moves is called...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...line constrained to move after some given law or condition. ON CYLINDRICAL SURFACES. 503. Definition. A cylindrical surface is generated by a straight line, which moves parallel to itself in space, and describes, with its extremity, a given curve, The straight line which moves is called...
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Two Geometrical Memoirs on the General Properties of Cones of the Second ...

Michel Chasles - Cone - 1837 - 564 pages
...more common cases, where the generating line is a straight line, or a circle. 160. To find the general equation to cylindrical surfaces. A cylindrical surface...parallel to itself, and always passes through a given curve. Let the equations to the generating line in any position be х ¿ m% + а, у = n% + ß, a and...
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A Treatise on Analytical Geometry of Tree Dimensions: Containing the Theory ...

John Hymers - Geometry, Analytic - 1848 - 368 pages
...more common cases, where the generating line is a straight line, or a circle. 160. To find the general equation to cylindrical surfaces. A cylindrical surface...parallel to itself, and always passes through a given curve. Let the equations to the generating line in any position be x = m% + a, y =* n% + /3, a and...
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An Elementary Treatise on Solid Geometry

William Steadman Aldis - Geometry, Analytic - 1873 - 240 pages
...\x— aj dz z — 7 y — /3 dz " ' dx x — a, x — a ' dy ' 141. To find the general equation of cylindrical surfaces. A cylindrical surface is generated by a straight line which moves always parallel to itself and meets a faced curve. Let l, m, n be the direction-cosines of one of the...
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Principles of Machine Construction: Being an Application of ..., Volume 1

Edward Tomkins - Machinery - 1878 - 376 pages
...will be considered in the articles on the cylinder. 82. The Cylinder. — A cylinder is a solid whose surface is generated by a straight line which moves...parallel to itself, and always passes through a given curved line; if the curved line is a circle and the generating line is perpendicular to the plane of...
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Note-book on practical, solid, or descriptive geometry, by J. H. Edgar and G ...

Joseph Haythorne Edgar - 1880 - 300 pages
...segment of the great circle passing through the points. THE CYLINDER. DEF. A cylinder is the surface generated by a straight line which moves parallel to itself and always passes through a given curved line. A right cylindrical surface is one whose plane section at right angles to its generatrices...
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Note-book on Practical Solid Or Descriptive Geometry: Containing Problems ...

Joseph Haythorne Edgar - Geometry, Descriptive - 1880 - 284 pages
...segment of the great circle passing through the points. THE CYLINDER. DEF. A cylinder is the surface generated by a straight line which moves parallel to itself and always passes through a given curved line. A right cylindrical surface is one whose plane section at right angles to its generatrices...
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New Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...+ 2 у - 4z + 5 = 0. Ans. 3x2 + 3)/2 + 3z2 + 2х-10г/-4г + 7 = 0. 113. Cylinders. A surface which is generated by a straight line which moves parallel to itself and intersects a given fixed curve is called a cylinder. The fixed curve is called the directrix. We now...
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Analytic Geometry: With Introductory Chapter on the Calculus

Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 376 pages
...equations which contain only the coordinate y, or only the coordinate z. 216. Equations in two variables. Cylindrical surfaces. — A cylindrical surface is generated by a straight line which moves so as to be always parallel to some fixed line, while intersecting a fixed curve. The fixed curve is...
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