 | William Cain - Calculus - 1905 - 301 pages
...negative when laid off on PF produced. Polar Equation of a Conic Section. A conic section istraced by a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line. Call this constant ratio e. In Fig.... | |
 | 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, called the directrix.... | |
 | 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. A line through... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...given. The two following examples illustrate the complete solution of two .problems. Example i. — Find the locus of a point which moves so that its distance from the point (4, 0) is twice its distance from the point (1, 0). (i) State in geometrical terms — AP... | |
 | Royal Society of Canada - Humanities - 1908 - 1112 pages
...— which are analogous to the conic sections of analytical plane geometry. We define the curve to be the locus of a point which moves so that its distance from a given point bears always a fixed ratio to its distance from a given great circle. XI. The case where... | |
 | Victor Tyson Wilson, Carlos Lenox McMaster - Geometrical drawing - 1909 - 204 pages
...first directed. 82. To draw a parabola by means of the focus. A parabola is denned in mathematics, as the locus of a point which moves, so that its distance...distance - from a fixed line, called the directrix. Let DD' (Fig. 81) be the directrix, and OF at right angles to it, the axis. Let F be the focus. Since... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1909 - 956 pages
...hyper, over + fiaWeiv, ballein, 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, called the directrix.... | |
 | George Nicol - Naval architecture - 1909 - 366 pages
...intersection of a right cone with a plane parallel to one of its sides ; it is also sometimes defIned as the locus of a point which moves, so that — its distance from a fixed [xtint its distance from a fixed straight line Fig. 6. M The fixed point is called the focus and the... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...PARABOLA Special Equation of Second Degree Ax* + 2 Gx + 2 Fy + C = O, or By* + 2 Gx + 2Fy + C =0 79. The parabola defined. A parabola is the locus of a...which moves so that its distance from a fixed point is equal to its distance from a fixed line. It is the conic section with eccentricity e = 1. The equation... | |
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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. 
