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" The plane curve described by a point which moves in such a manner that the sum of its distances from two fixed points (the foci) remains the same in all its positions. "
An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal ... - Page 10
by Norman Macleod Ferrers - 1890 - 184 pages
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Outlines of Geometry ...

Walter Marsham Adams - 1866 - 114 pages
...Locus of a Point. Ch. viii. 2. The particular law of motion in a straight line, viz. A straight line is the Locus of a Point which moves in such a manner that the angle between each three consecutive points is 180°. Ch. ix. and xvi. 3. The first law of continuity,...
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A Geometrical Treatise on Conic Sections: With Numeous Examples

William Henry Drew - Conic sections - 1869 - 153 pages
...Axis of the ellipse. In most geometrical treatises the ellipse is defined as the curve traced out by a point which moves in such a manner that the sum of its distances from two fixed points is always the same ; but it appears that the properties of the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...the same point meets the axis. EI.I.IPSE. Definitions. 1. An ellipse is a plane curve traced out by a point which moves in such a manner that the sum of its distances from two fixed points is always the same. 2. The two fixed points are called the/oci...
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Glossary of Terms and Phrases

Henry Percy Smith - English language - 1883 - 542 pages
...in the Tudor period. Ellipse. [Gr. €AAdi(iis, a deficiency.} (Math.) The plane curve described by a point which moves in such a manner that the sum of its distances from two fixed points (the foci) remains the same in all its positions. It is a central...
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Glossary of Terms and Phrases

Henry Percy Smith - English language - 1883 - 564 pages
...Rossshire, in the Tudor period. Ellipse. [Gr. &Aenf,«, a deficiency.] (Math.) The plane curve described by a point which moves in such a manner that the sum of its distances from two fixed points (the foci) remains the same in all its positions. It is a central...
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A Theoretical and Practical Treatise on Astigmatism

Swan Moses Burnett - Astigmatism - 1887 - 274 pages
...some detail the optical properties of ellipses. Geometrically, an ellipse is " a plane curve traced by a point which moves in such a manner that the sum of the distances from the fixed points is always the same. The two fixed points are called the/b« of the...
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Optics: A Manual for Students

Archibald Stanley Percival - Achromatism - 1899 - 422 pages
...may be its point of reflection. As is well known an ellipse may be defined as a curve traced out by a point which moves in such a manner that the sum of its distances from two fixed points, called its foci, is always the same. If then a concave mirror...
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Calendar of the University of Sydney

University of Sydney - 1903 - 662 pages
...contact of one of them. G. Shew that every equation of the first degree represents a straight line. Find the locus of a point which moves in such a manner that the algebraic sum of its perpendicular distances from the sides of a given polygon is constant. ft 7. Find...
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Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...during one complete rotation of BC. Show the angle through which AD oscillates. (BE 1912.) (11) Draw the locus of a point which moves in such a manner that its distance from a fixed line MX is always equal to its distance from a point S distant 1 in. from...
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Textile Calculations, Manufacture and Mechanism

Joseph Henry Whitwam - Textile fabrics - 1920 - 456 pages
...7. ЛГ MX (Fig. 158) is a fixed line of infinite length. 8 is a point 1 inch distant from MX. Draw the locus of a point which moves in such a manner that its distance from MX is always equal to its distance from the fixed point 8. In the figure PN = PS...
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