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" A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix. "
A mathematical course for the University of London. (2nd) - Page xxxviii
by Thomas Kimber - 1865 - 192 pages
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The New International Encyclopæeia, Volume 10

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1909 - 956 pages
...over + fiaWeiv, ballein, to throw). One of the conic sections, (qv). Analytically, the hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio greater than unity to its distance from a fixed...
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Industrial Drawing and Geometry: An Introduction to Various Branches of ...

Henry John Spooner - Geometrical drawing - 1911 - 196 pages
...constructing it. So we must again resort to the language of co-ordinate geometry, and define a hyperbola as the locus of a point which moves so that its distance from a fixed point called a focus bears a constant ratio to its distance from a fixed straight line called...
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Brief Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...considered. L THE PARABOLA Special Equation of Second Degree 79. The parabola defined. A parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed line. It is the conic section with eccentricity...
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Proceedings of the Annual Meeting, Volume 19

American Society for Engineering Education, Society for the Promotion of Engineering Education (U.S.) - Engineering - 1912 - 746 pages
...perpendicular to the radius drawn to the point of contact. CHAPTER TV. THE PARABOLA: y3 = 2px. 21. DEFINITION : The locus of a point which moves so that its distance from a fixed point its distance from a fixed line is cf.-lled a parabola. The fixed point is called the...
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Syllabus of Mathematics: A Symposium

American Society for Engineering Education. Committee on the Teaching of Mathematics to Students of Engineering - Engineering mathematics - 1912 - 150 pages
...constructing an ellipse should also be given. CHAPTER VI. THE HYPERBOLA : tfx2 oV = O262. 35. DEFINITION : The locus of a point which moves so that its distance from a fixed point i — 6 > 1 its distance from a fixed line (where e is a constant greater than 1), is...
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Syllabus of Mathematics: A Symposium

American Society for Engineering Education. Committee on the Teaching of Mathematics to Students of Engineering - Engineering mathematics - 1912 - 148 pages
...constructing an ellipse should also be given. CHAPTER VI. THE HYPERBOLA I tfx 2 O?"\f = 35. DEFINITION : The locus of a point which moves so that its distance from a fixed point its distance from a fixed line ' " (where e is a constant greater than 1), is called...
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Practical Geometry and Graphics for Advanced Students

Joseph Harrison, George Albert Baxandall - Geometry, Descriptive - 1913 - 714 pages
...both portions of the complete surface ; and in Art. 76 it was shown that the curve might be denned as the locus of a point which moves, so that its distance from a fixed point bears a constant ratio (greater than unity) to its distance from a fixed line. The curve...
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The Philosophy of Biology

James Johnstone - Biology - 1914 - 416 pages
...we " plot a curve." Let the latter be a parabola having the equation y=\ x. Now a parabola is denned as " the locus of a point which moves, so that its distance from a fixed point is in a constant relation to its distance from a fixed straight line." How do we construct...
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Syllabus of Mathematics: A Symposium Compiled by the Committee on the ...

Society for the Promotion of Engineering Education (U.S.). Committee of the teaching of mathematics to students of engineering - Mathematics - 1914 - 158 pages
...for constructing a parabola should also be given. THE ELLIPSE: b'x2 + a?y1 = a262. 26. DEFINITION: The locus of a point which moves so that its distance from a fixed point £. — 6 •< 1 its distance from a fixed line (where e is a constant less than 1),...
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Analytic Geometry of Space

Virgil Snyder, Charles Herschel Sisam - Geometry, Analytic - 1914 - 318 pages
...from two fixed points is constant. Take the points (± a, 0, 0). 8. Find and classify the equation of the locus of a point which moves so that its distance from (a, 0, 0) bears a constant ratio to its distance (o) from the plane x = 0 ; (&) from the Z-axis. 9....
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