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" Find the locus of the centre of a circle which touches a given straight line AB at a given point P. "
Mathematical Questions and Solutions - Pàgina xxi
1891
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pàgines
...these produced, proportionally. 8. Inscribe a circle' in a given triangle. 10. Define a parabola; and find the locus of the centre of a circle which touches a given straight Hue, and passes through a given point. 11. In an ellipse, prove that, with the usual...
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Elementary analytical geometry

Thomas Grenfell Vyvyan - 1867 - 294 pàgines
...the locus of P. 61. In the triangle .4.5(7, BC is given, and ta,nB + t&uC=k; find the locus of A. 62. Find the locus of the centre of a circle which touches a given circle and given line. 63. ST is the perpendicular from the focus of the tangent PY, find the...
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Conic Sections, Treated Geometrically

William Henry Besant - 1869 - 304 pàgines
...the tangent. 5. Given the focus, the position of the axis, and a tangent, construct the parabola. 6. Find the locus of the centre of a circle which touches a given straight line and a given circle. 7. Construct a parabola which has a given focus, and two given...
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A Geometrical Treatise on Conic Sections: With Numeous Examples

William Henry Drew - 1869 - 153 pàgines
...rectangle contained by the ordinates of PQ is equal to the square of one-half the latus rectum. 15. Find the locus of the centre of a circle which touches a given circle and a given straight line. tangents given in position, find the two other points of contact....
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The Geometry of Conics

Charles Taylor - 1873 - 156 pàgines
...constant quantity than its distance from a fixed point. Shew that the point describes a parabola. 35. Find the locus of the centre of a circle which touches a given circle and a given straight line. 36. Circles being described on the segments of a focal chord...
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Elements of Analytic Geometry

George Albert Wentworth - 1887 - 264 pàgines
...Two normals to a parabola are perpendicular to each other ; find the locus of their intersection. 22. Find the locus of the centre of a circle which touches a given circle and also a given straight line. CHAPTER VI. THE ELLIPSE. SIMPLE PROPERTIES OF THE ELLIPSE....
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 414 pàgines
...the locus of the centre of a circle which passes through two given points. See (159) and (202). 41. Find the locus of the centre of a circle which touches a given straight line at a given point, or which touches a given circle at a given point. 42. Find the...
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Mathematical Questions and Solutions, from the "Educational Times.", Volum 55

1891 - 208 pàgines
...ctil)(atl-b^ + ct3}(atl + bt2-et3) =0; ie, if two of the three at,, bt%, ct3 be together equal to the third.] 10910. (Rev. T. ROACH, MA)— Find the locus of the...circle which touches a circle and a straight line. Solution by 3. C. ST. CLAIR ; BW MAINPRISE ; and others. H ~Hi Let C be the centre of the fixed circle...
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Exercises in Wentworth's Analytic Geometry: With Solutions

George Albert Wentworth - 1894 - 362 pàgines
...the parabola is an up-vard or downward T"-parabola, according аз В is negative or positive. 21. Find the locus of the centre of a circle which touches a given circle and also a given straight line. Take the given straight line as the axis of y, and a perpendicular...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - 1896 - 296 pàgines
...points Pand Q. The locus is the _L bisector of the line joining the given points (g 233). Ex. 193. Find the locus of the centre of a circle which touches a given straight line AB at a given point P. The required locus is the _L to AB erected at P (\ 241)....
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