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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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Essentials of Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1909 - 122 pages
...points of tangency Tt and T2. ST! and ST2 are the required tangents. 75. 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 F], Fig. 49, be the two fixed points Fig. 49 Hyperbola and tangents...
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Analytic Geometry

Norman Colman Riggs - Geometry, Analytic - 1910 - 328 pages
...a2) and (0, - V62 - a2). 87. The hyperbola. An hyperbola is the locus of a point which moves in the plane so that the difference of its distances from two fixed points of the plane is constant. To find the equation of the hyperbola, as in Art. 83, let the fixed points...
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Elements of Descriptive Geometry: With Applications to Spherical and ...

Albert Ensign Church, George Miller Bartlett - Geometry, Descriptive - 1911 - 300 pages
...STj and ST2 are the required tangents. 69. A hyperbola 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. To construct a hyperbola. Let F and Fr Fig....
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Analytic Geometry

Norman Colman Riggs - Geometry, Analytic - 1911 - 330 pages
...a2) and (0, - V//^<?). 87. The hyperbola. An hyperbola is the locus of a point •which moves in the plane so that the difference of its distances from two fixed points of the plane is constant. To find the equation of the hyperbola, as in Art. 83, let the fixed points...
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Descriptive Geometry

Adam Vause Millar, Edward Silver Maclin - Geometry, Descriptive - 1913 - 152 pages
...points of tangency Tj and T2. ST± and ST2 are the required tangents. 91. A 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 F^ Fig. 56, be the two fixed points and let the difference of...
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Descriptive Geometry

Adam Vause Millar, Edward Silver Maclin - Geometry, Descriptive - 1913 - 152 pages
...points of tangency Tj and T2. STj and ST2 are the required tangents. 91. A 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 Fj, Fig. 56, be the two fixed points and let the difference of...
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Plane Analytic Geometry: With Introductory Chapters on the Differential Calculus

Maxime Bôcher - Geometry, Analytic - 1915 - 258 pages
...constant greater than the distance between the foci. A HYPERBOLA is the locus of a point which moves in a plane so that the difference of its distances from two fixed points of the plane, called the foci, is a positive constant less than the distance between the foci. A PARABOLA...
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Descriptive Geometry

Adam Vause Millar, Edward Silver Maclin, Lorraine Joseph Markwardt - Geometry, Descriptive - 1919 - 180 pages
...points of tangency Tt and T2. STt and ST2 are the required tangents. 94. A 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 Fl, Fig. 60, be the two fixed points and let the difference of...
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An Introduction to the Graphic Language: The Vocabulary, Grammatical ...

Gardner Chace Anthony - Mechanical drawing - 1922 - 188 pages
...points in the required curve. In like manner obtain the opposite side. 115. The Hyperbola. — Fig. 181 is a curve generated by a point moving in a plane, so that the difference of the distances from this point to two fixed points shall be constant. It will be observed that this...
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An Introduction to the Graphic Language: The Vocabulary, Grammatical ...

Gardner Chace Anthony - Mechanical drawing - 1922 - 194 pages
...less used by draftsmen but a knowledge of their characteristics is very desirable. 106. The Ellipse is a curve generated by a point moving in a plane so that the sum of the distances from this point to two fixed points shall be constant. If, in Fig. 172, we conceive...
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