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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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Junior Course in Mechanical Drawing

William Henry Thorne - Mechanical drawing - 1890 - 76 pages
...be approximated by this method with sufficient accuracy for practical purposes. FIG. 33. A PARABOLA is a curve generated by a point moving in a plane so that its distance from a given point shall be constantly equal to Us distance from a given line. The given...
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 324 pages
...NOTE. — Because of the relation developed in Prob. 4, the hyperbola may be defined as: The locus of a point moving in a plane so that the difference of its distances from two fixed points, also in the plane, will remain fixed. If the condition that the locus be a plane curve be removed,...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...auxiliary circle. THE HYPERBOLA. 945. DBF. An hyperbola is a curve which is the locus of a point that moves in a plane so that the difference of its distances from two fixed points in the plane is constant. 946. DBF. The fixed points are called the foci, and the straight lines which...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...auxiliary circle. THE HYPERBOLA. 945. DBF. An hyperbola is a curve which is the locus of a point that moves in a plane so that the difference of its distances from two fixed points in the plane is constant. 946. DBF. The fixed points are called the foci, and the straight lines which...
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Elements of Descriptive Geometry: With Applications to Spherical ...

Albert Ensign Church - Geometry, Descriptive - 1902 - 236 pages
...foci, for DF + DF' = 2 CV = 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 tliefoci. The curve may be constructed by points, thus...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...auxiliary circle. THE HYPERBOLA. 945. DBF. An hyperbola is a curve which is the locus of a point that moves in a plane so that the difference of its distances from two fixed points in the plane is constant. 946. DEF. The fixed points are called the foci, and the straight lines which...
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Descriptive Geometry: With Numerous Problems and Practical ..., Volume 1

William Shaffer Hall - Geometry, Descriptive - 1902 - 160 pages
...and ty will be required tangents. (For proof, see "Analytical Geometry.") 22. The hyperbola may be generated by a point moving in a plane, so that the difference between its distances from two given points called foci is equal to a given line. PROB. 98. Given the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...auxiliary circle. THE HYPERBOLA. 945. DBF. An hyperbola is a curve which is the locus of a point that moves in a plane so that the difference of its distances from two fixed points in the plane is constant. 946. DBF. The fixed points are called the foci, and the straight lines which...
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Practical Mechanical Drawing and Machine Design, Self Taught ...

Charles Westinghouse - Machine design - 1906 - 168 pages
...before, thereby obtaining the elliptical arc FD. Construct opposite side in the same manner. The Parabola is a curve generated by a point moving in a plane so that its distance from a Fig. 129— The Parabola. fixed point shall be constantly equal to its distance...
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Notes on Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1908 - 116 pages
...points of tangency TI and T2. ST! and ST2 are the required tangents. 84. The hyperbola is the path of a point moving in a plane so that the difference of its distances from two fixed points is constant. Construction. Let F and Fi, Fig. 49, be the two fixed points Fig. 49. Hyperbola and tangents....
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