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" P, which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line, is called a Conic Section. "
The Doctrine of Germs, Or, The Integration of Certain Partial Differential ... - Page 212
by Samuel Earnshaw - 1881 - 108 pages
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Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ...

Charles Taylor - Conic sections - 1863 - 248 pages
...all Conies, a Conic being considered as the locus of a point whose distance from a fixed point bears a constant ratio to its perpendicular distance from a fixed straight line. The propositions of this Chapter have been selected as either important in themselves or useful in...
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Practical Plane Geometry and Projection: For Science Classes ..., Volume 1

Henry Angel - Geometry, Plane - 1880 - 372 pages
...plane surface. DEFINITION. — If a point moves in such a manner that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed straight line (being nearer to the point than to the line), the curve traced by the moving point is an ellipse. Thus,...
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Practical plane geometry and projection. [2 issues].

Henry Angel - 1880 - 360 pages
...plane surface. DEFINITION. — If a point moves in such a manner that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed straight line (being nearer to the point than to the line), the curve traced by the moving point is an ellipse. Thus,...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 512 pages
...from the right cone that a conic section may be regarded as the locus of a point such that the sum or difference of the tangents therefrom to two fixed...578. Two circles have double internal contact with an cllipse,t and a third circle passes through the four points of contact. If t, t', T be the tangents'...
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The Elements of Coordinate Geometry

Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...Section. Def. The locus of a point P, which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line, is called a Conic Section. The fixed point is called the Focus and is usually denoted by S. The constant...
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The Elements of Coordinate Geometry

Sidney Luxton Loney - Coordinates - 1897 - 472 pages
...Section. Def. The locus of a point P, which moves so that its distance from a fixed point is always in a constant ratio .. to its perpendicular distance from a fixed straight linens called a Conic Section. The fixed point is called the Focus and is usually denoted by S. The...
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Algebraic Geometry: A New Treatise on Analytical Conic Sections

William Meath Baker - Conic sections - 1906 - 363 pages
...or more shortly a Conic, is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed straight line. The fixed point is called the Focus. The fixed straight line is called the Directrix. The constant...
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Industrial Drawing and Geometry: An Introduction to Various Branches of ...

Henry John Spooner - Geometrical drawing - 1911 - 196 pages
...generated by a point moving in such a way that its distance from a fixed point (called a focus), Fig 210, is in a constant ratio to its perpendicular distance from a fixed straight line (called a directrix), the generating point being nearer to the fixed point than to the line. Every...
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Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...261. An ellipse and a hyperbola have corresponding to their two foci. from a fixed point (the focus) is in a constant ratio to its perpendicular distance from a fixed straight line (the directrix). This definition may be extended to an ellipse and a hyperbola, and the curve traced...
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Naval Architect's & Shipbuilder's Pocket-book ...: With a Section on Aeronautics

Clement Mackrow - Naval architecture - 1916 - 766 pages
...SECTIONS. DEFINITION. —The locus of a point which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line is called a conio section. The fixed point is called the focus, the constant ratio the eccentricity,...
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