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" ... will be The tractrix is a particular case of the general problem of equi-tangential curves, where it is required to find a curve such that the intercept on the tangent between the curve and a fixed directrix shall be constant. 318. The problem of... "
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 186
by George Salmon, Arthur Cayley - 1873 - 379 pages
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...the equation of the tractrix, that of the syntractrix will be V» The tractrix is a particular ease of the general problem of equi-tangential curves,...required to find the curve described by the point B, the motion of which is always directed toward A. We suppose both points to move with uniform velocities,...
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...curves, where it is required to find a curve such that the intercept on the tangent between the carve and a fixed directrix shall be constant. 318. The...required to find the curve described by the point B, the motion of which is always directed toward A. We suppose both points to move with uniform velocities,...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...point B also in motion in some known curve, the locus of A is called a "curve of pursuit." The problem was first presented in the form — To find the path...described by a dog which runs to overtake its master. The velocities of the two moving points must of course be known, and the required locus can then be...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...curve, the locus of A is called a " curve of pursuit." The problem was first presented in the form—To find the path described by a dog which runs to overtake its master. motion to be constant for a short interval and then to be suddenlydeflected. PROBLEM 172. A moves in...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...curve, the locus of A is called a " curve of pursuit." The problem was first presented in the form—To find the path described by a, dog which runs to overtake its master. motion to be constant for a short interval and then to be suddenly deflected. PROBLEM 172. A moves...
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An Elementary Text-book on the Differential and Integral Calculus

William Holding Echols - Calculus - 1902 - 536 pages
...locus of the center of an ellipse as it rolls on a straight line in terms of an elliptic integral. 38. The problem of curves of pursuit was first presented...described by a dog which runs to overtake its master. The point A describes a straight line with uniform velocity; it is required to find the curve described...
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