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Libros Libros 1 a 10 de 37 sobre To find the locus of the centre of a circle which passes through a given point and...
" To find the locus of the centre of a circle which passes through a given point and touches a given straight line. "
PROBLEMS IN ILLUSTRATION OF THE PRINCIPLES OF PLANE COORDINATE GEOMETRY. - Página 164
de WILLIAM WALTON, M.A., - 1851
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Parliamentary Papers, House of Commons and Command, Volumen 7

Great Britain. Parliament. House of Commons - 1859
...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...
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Problems and Examples

1862 - 141 páginas
...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=...
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An Elementary Treatise on Conic Sections and Algebraic Geometry: With ...

George Hale Puckle - 1868 - 343 páginas
...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...
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Conic Sections treated Geometrically

1869 - 253 páginas
...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...
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GEOMETRY OF CONICS

C. TAYLOR, M.A. - 1872
...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...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...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.—...
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The Elementary Geometry of Conics

Charles Taylor - 1880 - 104 páginas
...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...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - 1881 - 384 páginas
...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...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - 1881 - 108 páginas
...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...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - 1881 - 154 páginas
...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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