| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| |