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" Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line. "
A Text-book of Geometry - Page 395
by George Albert Wentworth - 1895 - 437 pages
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Maths Connect: 3R, Volume 3

Sue Bright, Catherine Roe - Juvenile Nonfiction - 2005 - 230 pages
...from three fixed points. Q Use LOGO to draw this five-pointed star. 0 Draw the locus of a point that moves so that the sum of its distances from two fixed points is constant. A rectangle is drawn on a coordinate grid so that the area is always 8 square units from P. Construct...
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Definitions of Some Mathematical Terms for 11-18 Year Olds

Brainard Braimah - Mathematics - 2007 - 254 pages
...P is a movable point, AP+PB is constant. Ellipse: A set of all points in a plane, the sum of whose distances from two fixed points is constant is called an ellipse. The fixed points are called the foci of the ellipse. If the constant distance is 2a,and the distance between the foci is 2c, then the equation...
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higher course geometry

288 pages
...~ S'P = PT ~ P2'' = 2T' = EE' = const. The point S' is also called a 'focus.' Hence, fte ellipse is the locus of a point which moves so that the sum of its distances from two fixed points is constant. The hyperbola is the locus of a point which moves so that the difference of its distances from two...
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Higher Course Geometry

176 pages
...~ S'P = PT ~ PT' = TT' = EE' = const. The point S' is also called a 'focus.' Hence, the ellipse is the locus of a point which moves so that the sum of its distances from two fixed points is constant. The hyperbola is the locus of a point which moves so that the difference of its distances from two...
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Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

480 pages
...as from OY ; also the locus of points ^ as far from OX as from OY. Ex. 13. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 14. (On squared paper.) Plot the locus of a point which...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...as from OY; also the loons of points J aa far from OX as from OY. Ex. 11. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 12. (On squared paper.) Plot the locus of a point which...
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A Shorter Geometry

464 pages
...as from OY; also the locus of points J as far from OX as from OY. Ex. 578. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 579. (On squared paper. ) Plot the locus of a point which...
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