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" Find the locus of the center of a circle which passes through a given point and touches a given line. "
An Elementary Course in Analytic Geometry - Page 220
by John Henry Tanner, Joseph Allen - 1898 - 390 pages
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Problems in Illustration of the Principles of Plane Coordinate Geometry

William Walton - Coordinates - 1851 - 446 pages
...side and m the given sum. Lardner: Algebraic Geometry, p. 116. 12. To find the locus of the centre of a circle, which passes through a given point and touches a given straight line. Let the given straight line be taken as the axis of x, and a line perpendicular to it,...
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Problems and Examples

Harvey Goodwin - 1862 - 174 pages
...and C, 0 the centre of the circumscribing circle, OSA is a right angle. 29. The locus qf the centre of a circle which passes through a given point and touches a given straight line is a parabola. 30. If QQ' be a focal chord, PFthe diameter bisecting QQ' in V, then SP=...
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An Elementary Treatise on Conic Sections and Algebraic Geometry: With ...

George Hale Puckle - Conic sections - 1868 - 388 pages
...with the curve j find the latus rectum and the position of the vertex. 39. The locus of the centre of a circle which passes through a given point and touches a given straight line is a parabola. 40. If from the focus of a parabola straight lines be drawn to meet the...
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A Treatise on Analytic Geometry: Especially as Applied to the Properties of ...

George Holmes Howison - Geometry, Analytic - 1869 - 622 pages
...parallel to the diameter EOI and bisected in S: to find the loeus of P, where OQ and ES intersect. - 6 Find the locus of the center of a circle, which passes through a given point and touches a given right line. [Take given line for axis of y, and its perpendicular through given point for axis of x."]...
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Conic Sections, Treated Geometrically

William Henry Besant - Conic sections - 1869 - 304 pages
...can be drawn through the extremities of parallel chords. EXAMPLES. 1. FIND the locus of the centre of a circle which passes through a given point and touches a given straight line. 2. Draw a tangent to a parabola, making a given angle with the axis. 3. If the tangent...
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The Geometry of Conics, Part 1

Charles Taylor - Conic sections - 1872 - 121 pages
...meet the directrix on the diameters through the ends of the chord. 33. Find the locus of the centre of a circle which passes through a given point and touches a given straight line. 34. A point moves in such a way that its perpendicular distance from a fixed straight...
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The Elementary Geometry of Conics

Charles Taylor - Conic sections - 1880 - 152 pages
...meet the directrix on the diameters through the ends of the chord. 77. Find the locus of the centre of a circle which passes through a given point and touches a given straight line ; or which touches a given circle and a given straight line. 78. Circles being described...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...it will cut the circle next larger in points lying on a parabola. 91. Find the locus of the centre of a circle which passes through a given point and touches a given straight line; or which touches a given circle and a given straight line. 92. If a parabola be made...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 488 pages
...it will cut the circle next larger in points lying on a parabola. 91. Find the locus of the centre of a circle which passes through a given point and touches a given straight line; or which touches a given circle and a given straight line. 92. If a parabola be made...
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Elements of Quaternions

Arthur Sherburne Hardy - Quaternions - 1881 - 252 pages
...meet in a point. 30. Given the base of an isosceles triangle, to find the locus of the vertex. 31 . Find the locus of the center of a circle which passes through two given points. 32. Find the locus of the center of a sphere of given radius. tangent to a given...
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