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" A' parallel to A, FIG. 427. and the figure will suggest the construction. 803. To pass a plane through a given line and tangent to a given sphere. SUo's.—Pass a plane through the centre of the sphere and perpendicular to the given line. Through the... "
A Treatise on Special Or Elementary Geometry: In Four Parts. Including Plane ... - Page 275
by Edward Olney - 1872 - 1 pages
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A Treatise on Special Or Elementary Geometry: An advanced course in geometry

Edward Olney - Geometry - 1872 - 102 pages
...construction. 803. To pass a plane through a given line and tangent to a given sphere. SUo's.—Pass a plane through the centre of the sphere and perpendicular...(?), of which there are thus seen to be two. 804. DEF.—A Tangent Plane to a cylindrical or conical surface is a plane which contains an element of...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...given line and tangent to a given sphere. BUG'S. — Pass a plane through the centre of the sphere nnd perpendicular to the given line. Through the point...of the required planes (?), of which there are thus Been to be two. 804. DBF. — A Tnnf/ent Plane to a cylindrical or conical surface is a plane which...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 20

W. J. C. Miller - Mathematics - 1874 - 118 pages
...through straight smooth tubes infinitely small in bore, are isochronous. Solution by the PROPOSER. Draw a plane through the centre of the sphere, and perpendicular to the tube. Then, since the attraction on the particle varies as its distance from the centre of the sphere,...
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 20

1874 - 124 pages
...through straight smooth tubes infinitely small in bore, are isochronous. Solution by the PROPOSER. Draw a plane through the centre of the sphere, and perpendicular to the tube. Then, since the attraction on the particle varies as its distance from the centre of the sphere,...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1876 - 354 pages
...construction. 803. To pass a plane through a given line and tangent to a given sphere. SUG'S.—Pass a plane through the centre of the sphere and perpendicular...(?), of which there are thus seen to be two. 804. DBF.—A Tangent Plane to a cylindrical or conical surface is a plane which contains an element of...
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Descriptive Geometry

Linus Faunce - Geometry, Descriptive - 1888 - 130 pages
...PROBLEM 31. — To pass a plane through a given line and tangent to a sphere. If we pass an auxiliary plane through the centre of the sphere and perpendicular to the given line, it will cut a great circle from the sphere and a line, tangent to this circle, from the required DESCRIPTIVE...
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Problems, Theorems and Examples in Descriptive Geometry ...: For Colleges ...

Samuel Edward Warren - Geometry, Descriptive - 1888 - 328 pages
...sphere, and containing a jiven line. In Space. — Two such planes can evidently be found. A. plane, N, through the centre of the sphere, and perpendicular to the given line, will cut from the sphere a great circle, C, from the given line, a point , p ; from which two tangents...
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Elements of Descriptive Geometry: With Applications to Isometrical Drawing ...

Charles William MacCord - Geometry - 1895 - 268 pages
...therefore the plane of these two radii is perpendicular to the given line. If then a plane be passed through the centre of the sphere and perpendicular to the •given line, and from the point in which it cuts the line a tangent be drawn to the great circle cut from the sphere;...
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Elements of Descriptive Geometry: With Applications to Isometrical Drawing ...

Charles William MacCord - Geometry, Descriptive - 1895 - 284 pages
...therefore the plane of these two radii is perpendicular to the given line. If then a plane be passed through the centre of the sphere and perpendicular to the given line, and from the point in which it cuts the line a tangent be drawn to the great circle cut from the sphere...
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Theoretical and Practical Graphics: An Educational Course on the Theory and ...

Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...np. 495. A plane, tangent to a sphere and containing a given line, may be found on this principle: A plane through the centre of the sphere and perpendicular to the line would cut the aj)here in a great circle, the line in a point; either tangent that could be drawn...
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