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" F'. These points will be the foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point in the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points... "
Elements of Mechanical Drawing - Page 49
by Gardner Chace Anthony - 1894 - 98 pages
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Conic Sections and Analytical Geometry: Theoretically and Practically ...

Horatio Nelson Robinson - Conic sections - 1862 - 356 pages
...DEFINITIONS. 1. The Hyperbola is a plane curve, generated by the motion of a point subjected to the condition that the difference of its distances from two fixed...points shall be constantly equal to a given line. REMARK 1. — The distance between the foci is also supposed to be known, and the given line must be...
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Conic Sections and Analytical Geometry: Theoretically and Practically ...

Horatio Nelson Robinson - Conic sections - 1863 - 350 pages
...DEFINITIONa 1. The Hyperbola is a plane curve, generated by the motion of a point subjected to the condition that the difference of its distances from two fixed...points shall be constantly equal to a given line. REMAKK 1. — The distance between the foci is also supposed to be known, and the given line must be...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1865 - 164 pages
...constructed. III. An ellipse, which may be generated by a point moving in the same plane, so that the sum of its distances from two fixed points shall be constantly equal to a given right line. The two fixed points are the foci. The curve may be constructed by points, thus : Let F...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1865 - 160 pages
...foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point in the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points are the foci. The curve may be constructed by points, thus...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1865 - 214 pages
...foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point in the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points are the foci. The curve may be constructed by points, thus...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1867 - 210 pages
...foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point lu the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points are the foci. The curve may be constructed by points, thus...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1868 - 222 pages
...foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point ,n the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points are the foci. The curve may be constructed by points, thus...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - Geometry, Analytic - 1881 - 174 pages
...so that the difference of its distances from two fixed points in that plane is constant. A parabola is a curve generated by a point moving in a plane so that at each instant its distances from a fixed point and a fixed line in that plane are equal. These three...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...most convenient method of constructing it. It may also be defined as the locus of a point which moves in a plane, so that the difference of its distances from two fixed points in the plane is constant, and that the two definitions are really identical may be shewn thus:— In...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - 1890 - 170 pages
...so that the difference of its distances from two fixed points in that plane is constant. A parabola is a curve generated by a point moving in a plane so that at each instant its distances from a fixed point and a fixed line in that plane are equal. These three...
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