 | John Wesley Young, Frank Millett Morgan - 1917 - 586 páginas
...that any angle inscribed in a semicircle is a right angle. 6. Prove that the locus of a point which moves so that the sum of the squares of its distances from any number of fixed points is constant is a circle. Find the coordinates of the center of this circle in... | |
 | Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 384 páginas
...of its distances from the axes is constant (a2)? 12. Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the three points (5, — 1), (3, 4), (-2, - 3) is always 64. Ans. xl + y2 - 4z = 0. 13. Find the equation... | |
 | Raymond Benedict McClenon - 1918 - 264 páginas
...choose the X- and F-axes in a convenient position with reference to the given points or lines. 20. A point moves so that the sum of the squares of its distances from two fixed points is constant. 21. A point moves so that the ratio of its distances from two fixed points... | |
 | Maria M. Roberts, Julia Trueman Colpitts - 1918 - 266 páginas
...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... | |
 | George Alexander Gibson, Peter Pinkerton - 1919 - 510 páginas
...± (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... | |
 | Reginald Charles Fawdry - 1921 - 236 páginas
...referred to O" as origin, and OA, OB as axes. Prove that P lies on ait ell1pse, and find its equation. 20. A point moves so that the sum of the squares of its distances from two given sides of an equilateral triangle is constant and equals 2c2. Prove the locus is an ellipse... | |
 | Claude Irwin Palmer, William Charles Krathwohl - 1921 - 374 páginas
...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... | |
 | Claude Irwin Palmer, William Charles Krathwohl - 1921 - 376 páginas
...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... | |
 | Frank Loxley Griffin - 1922 - 548 páginas
...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... | |
 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 304 páginas
...that the square of its distance from a given point is equal to its distance from a given line. 37. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant. Show that the locus of the point is a circle. 38.... | |
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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. 
