 | Charles Hamilton Ashton - Geometry, Analytic - 1900 - 294 pages
...five times as far from the Y-axis as from the point (5, 0). Find the equation of its locus. 5. A point moves so that the sum of the squares of its distances from the points (0, 0) and (5, — 5) is always equal to 40. Find the equation of its locus. 6. A point... | |
 | Jacob William Albert Young, Charles Elijah Linebarger - Calculus - 1900 - 434 pages
...generally the theorem verified in 11. ART. 14. The equation of the ellipse. We define the ellipse as the locus of a point which moves so that the sum of its distances from two fixed points has a constant value. This constant value we indicate by 2 a. We... | |
 | Jacob William Albert Young, Charles Elijah Linebarger - Calculus - 1900 - 440 pages
...generally the theorem verified in 11. ART. 14. The equation of the ellipse. We define the ellipse as the locus of a point which moves so that the sum of its distances from two fixed points has a constant value. This constant value we indicate by 2 a. We... | |
 | Joseph Harrison (A.M.I.C.E.) - Geometry - 1903 - 300 pages
...is true wherever P may be on the circumference. Interpreted, the equation tells us that a circle is the locus of a point which moves so that the sum of the squares of its distances from two perpendicular lines is constant. It can be shown that all curves of determinate form have equations... | |
 | Alfred Clement Jones - Geometry - 1903 - 212 pages
...degree represents straight lines, the equation of the bisectors of the angle between them is 35. A point moves so that the sum of the squares of its distances from two given sides of an equilateral triangle is constant and equal to 2c2. Show that the locus is an... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...as from OY ; also the locus of points J as far from OX as from OY. Ex. 766. (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. 767. (On squared paper.) Plot... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...4. Find the locus of a point at a given radial distance irom the circumference of a given circle. 5. Find the locus of a point which moves so that the sum of its distances from two given intersecting straight lines of unlimited length is constant. 6. Find the... | |
 | Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...between the two fixed planes. What is the locus if the difference of these distances is constant ? 8. Find the locus of a point which moves so that the sum of its distances from any number of planes is constant. 9. Transform the equation г2 = ax + by by turning... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 453 pages
..."constant difference " be denoted by /<;, we find for the locus 4 ax = k or 4 ax = — k. 13. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. Hint. Choose axes as in problem 12.... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
..."constant difference " be denoted by /:, we find for the locus 4 ax = k or 4 ax = — k. 13. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. Hint. Choose axes as in problem 12.... | |
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Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from... 
