 | W. J. Johnston - Geometry, Analytic - 1893 - 448 pages
...2 PB find the eq'n to the locus of P. Ans. 3 x3 + 3 y2 — IQ ax + 3 a2 =• о 4. Find the eq'n to the locus of a point which moves so that its distance from the origin •« twice its distance from the axis of x. Ans. The two lines x + y v'î = °5. Find the... | |
 | George Albert Wentworth - 1894 - 362 pages
...centre of the given hyperbola. 23. The distance from a fixed point to a fixed straight line is 10. Find the locus of a point which moves so that its distance from the fixed point is always twice its distance from the fixed line. I. Solution. From § 183, the locus... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...15. PQ is a double ordinate of a parabola. Find the locus of its points of trisection. 16. Prove that the locus of a point, which moves so that its distance from a fixed line is equal to the length of the taogent drawn from it to a given circle, is a parabola. Find the... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...its distance from a fixed straight line. CHAPTER VI. THE CONIC SECTIONS. 66. Definition and Equation. A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.... | |
 | Sidney Luxton Loney - Coordinates - 1897 - 472 pages
...15. PQ is a double ordinate of a parabola. Find the locus of its points of trisection. 16. Prove that the locus of a point, which moves so that its distance from a fixed line is equal to the length of the tangent drawn from it to a given circle, is a parabola. Find the... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...Special Equation of Second Degree Axz + 2Gia5+2.FV+C = 0, or 102. The parabola defined. A parabola is the locus of a point which moves so that its distance from a fixed point, called the focus, is equal to its distance from a fixed line, called the directrix. It is the conic... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 926 pages
...hyper, over + fiaWeiv, baUein, to throw). One of the conic sections, (qv). Analytically, the hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio greater than unity to its distance from a fixed straight line,... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...subtend a right angle at a given point of the curve intersect on the normal at that point. 7. Prove that the locus of a point, which moves so that its distance from a fixed line is equal to the length of the tangent drawn from it to a given circle, is a parabola. Find the... | |
 | Henry Adams - Engineering - 1907 - 594 pages
...point is said to move with simple harmonic motion. 96. PARABOLA. A parabola is the path traced out by a point which moves so that its distance from a fixed point called the focus is the same as its perpendicular distance from a fixed straight line, called the directrix.... | |
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Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig. 
