 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...magnitude of the ellipse which is defined by the equation x2+(yx)i=2x. SENIOR SCIENCE SCHOLARSHIPS. 1. Find the locus of the centre of a circle which passes through agiven point and touches a given straight line. 2. Determine the equation of a curve, which is touched... | |
 | Harvey Goodwin - 1862 - 174 pages
...triangle ABC at B 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= PV and QV=... | |
 | George Hale Puckle - 1868 - 386 pages
...parabola, and the angle it makes with the curve ; 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 tangents at... | |
 | William Henry Besant - Conic sections - 1869 - 304 pages
...the only case in which a circle 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 at P meet the... | |
 | Charles Taylor - Conic sections - 1872 - 121 pages
...a focal chord to the vertex 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 line is less... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...described by means of a second focus and a second directrix. 12. Having given one focus of an ellipse which passes through a - given point and touches a given straight line, prove that the locus of the other focus is an hyperbola, and construct its asymptotes. Fifth Stage.—... | |
 | Charles Taylor - Conic sections - 1880 - 152 pages
...a focal chord to the vertex 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 on the segments... | |
 | Charles Taylor - Mathematics - 1881 - 512 pages
...parallel to the given line be drawn 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 to roll upon an... | |
 | Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...parallel to the given line be drawn 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 to roll upon an... | |
 | George Russell Briggs - Geometry, Analytic - 1881 - 174 pages
...f; on OP', P is taken so that its ordinate equals B P' ; find the locus of P. Ans. A parabola. (12.) Find the locus of the centre of a circle which passes through a fixed point and touches a given line. (Axes as in § 55, Ex- *3-) Ans. A parabola. (13.) Given the... | |
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To find the locus of the centre of a circle which passes through a given point and touches a given straight line. 
