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" A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 70
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Analytic Geometry

Edwin Schofield Crawley, Henry Brown Evans - Geometry, Analytic - 1918 - 257 pages
...simplified. Thus squaring and expanding, it becomes ANALYTIC GEOMETRY [CHAP. II] 3. A point moves in a plane so that the sum of the squares of its distances from two fixed points in the plane is constant. What locus will it describe? The problem is stated without reference to any...
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Analytic Geometry

Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...the above prbblem take the rr-axis through the two points with the origin halfway between them. (6) A point moves so that the sum of the squares of its distances from the four sides of a square is constant. (c) A point moves so that the square of its distance from the...
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Advanced Geometry for High Schools ...

Alexander H. McDougall - Geometry - 1919 - 232 pages
...radical axis. [Proof left for the pupil.] Fie. 24. 20. The locus of a point P such that the difference of the squares of its distances from two fixed points A, B is constant is a st. line perpendicular to AB. Fie. 26. From P draw PM j. AB. Let AB = a, AM = x and...
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Elements of Analytical Geometry

George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
... (a - b)y cot a. = 0, and assign each locus to its equation. Draw the loci. 12. A variable point P moves so that the sum of the squares of its distances from the points (2, 0), ( - 2, 0) is 16 ; prove that the locus of P is a circle, eentre the origin, radius...
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Plane Geometry: I. Abridged and Applied. II. College Preparatory

Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 410 pages
...of its distances from two perpendicular lines is constant. d!057. Plot the locus of a point P such that the sum of the squares of its distances from two fixed points is constant. d!058. Plot the locus of a point such that the difference of the squares of its distances...
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Analytic Geometry: With Introductory Chapter on the Calculus

Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 347 pages
...of the squares of its distances from the x and the j/-axis equals 4. Discuss and draw the locus. 22. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove the locus to be an ellipsoid. Suggestion. — Take the line through the two points...
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Co-ordinate Geometry (plane and Solid) for Beginners

Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...and A (a, o) are the extremities of the base of an isosceles triangle whose sides have gradients m. A point moves so that the sum of the squares of its distances from the three sides of the triangle is constant, find its locns. 24. Through a fixed point A (a, p) a straight...
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Analytic Geometry: With Introductory Chapter on the Calculus

Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 376 pages
...whose center is the point (1, 1) and whose radius is 3. EXERCISES 1. Find the locus of a point which moves so that the sum of the squares of its distances from ( — 2, 0) and (2, 0) is constant and equal to-26. 2. Find the locus of a point which moves so that...
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A Course in Analytic Geometry

Paul Prentice Boyd, Joseph Morton Davis, Elijah Laytham Rees - Geometry, Analytic - 1922 - 280 pages
...point whose distance from a given point bears a constant ratio to its distance from a fixed plane. b) A point moves so that the sum of the squares of its distances from two intersecting perpendicular straight lines is a constant. Derive the equation of the locus. Hint: Take...
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An Introduction to Mathematical Analysis

Frank Loxley Griffin - Calculus - 1922 - 550 pages
...path. Select some special point on the curve and verify that it fulfills the specified requirement. 7. A point moves so that the sum of the squares of its distances from (3, 0) and (-3, 0) is any constant k. Find the character of itt, path. Draw the path when A: = 22 and...
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