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" A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly, and find the equation of the locus of P. "
A mathematical course for the University of London. (2nd) - Page xxix
by Thomas Kimber - 1865 - 192 pages
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880 - 176 pages
...equation to the straight line drawn from the given point (h, k) perpendicular to the given straight line Find also the equation to the system of circles passing...the angles PSA, PHA meet in the tangent at P. (July I7th. — Afiernoon.) 9. Investigate the equation to the parabola, y* = 4 a x. Explain the geometrical...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1904 - 378 pages
...through these points. Find its equation and draw it. 5. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly,...
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Cartesian Plane Geometry, Volume 1

Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...and arrange this in order to find the equation of the locus in the most convenient form. Example. — A point P moves so that the sum of its distances from the points S(5, 0) and S'( - 5, 0) is equal to 26 ; find the loons. Let P be (,r, ?/.) (i) SP + S'P...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...through these points. Find its equation and draw it. 5. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly,...
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New Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...157. 62. The ellipse. Let us solve the following locus problem : Given two fixed points F and „. F1. A point P moves so that the sum of its distances from F and F1 remains constant. Determine the nature of the locus. Solution. Draw the z-axis through F and...
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Elementary Mathematical Analysis

John Wesley Young, Frank Millett Morgan - Functions - 1917 - 584 pages
...equidistant from a plane and a line perpendicular to the plane. Find the equation of the locus of P. 3. A point P moves so that the sum of its distances from the three coordinate planes is equal to its distance from the origin. Find the equation of the locus...
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Elements of Analytical Geometry

George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...ellipse ; the points A and A' are called the vertices of the ellipse. 152 ANALYTICAL GEOMETRY. Ex. 2. A point P moves so that the sum of its distances from the points (c, 0) and ( - c, 0) is 2a, where a > c ; prove that the equation of the ellipse traced...
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Circles: A Mathematical View

Dan Pedoe - Mathematics - 1995 - 146 pages
...centre A is equal to (PA)2. Hence determine the locus of a point P which moves so that the ratio PA : PB of its distances from two given points A and B is constant. 1.10. A is a point of intersection of circles # and 2i, and a line through A intersects # again in...
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anaytical geometry a first course

392 pages
...points on the curve and draw it. Army, 1902. Ex. 35. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of coordinates the line AB and the line bisecting AB at right angles,...
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