 The 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 line.  Analytic Geometry - Page 75by Henry Bayard Phillips - 1915 - 197 pagesFull view - About this book
 | George Salmon - Conic sections - 1852 - 338 pages
...= - CF. Hence, a circular cubic of the fourth class may be considered as the locus of a point whose distance from a fixed point is equal to its distance from a fixed circle, the latter distance being measured on the radius vector to a fixed point of the circle. This... | |
 | Isaac Todhunter - 1855 - 376 pages
...definitions in Art. 123. 125. To find the equation to the Parabola. 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. Let S be the fixed point, TY' the fixed straight line. Draw SO perpendicular to YY'... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...definitions in Art. 123. 125. To find the equation to the Parabola. 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. Let S be the fixed point, YY' the fixed straight line. Draw S0 perpendicular to YY';... | |
 | George Holmes Howison - Geometry, Analytic - 1869 - 622 pages
...Parabola may be defined by the following property: The distance of the variable point of the curve from a fixed point is equal to its distance from a fixed right line. iy We may therefore trace the curve and find its figure as follows : — Take any point... | |
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...focus of a conic section is called the latus rectum. 40. Def. 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. A the vertex ; S the focus ; AS=a,- AM=x; MF^y. 41. Equation to parabola, origin at... | |
 | Edward Albert Bowser - Geometry, Analytic - 1880 - 314 pages
...O'Brien's Co-ordinate Geometry, p, I Fig. 50, 52. A Parabola is the locus of a point moving in a plane so that its distance from a fixed point is equal to its distance from a fixed right line. The fixed point is called the Focus ; the fixed right line is called the Directrix ; the... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...constant. The distinguishing property of the Parabola is, that the distance of any point in the curve from a fixed point is equal to its distance from a fixed right line. The distinguishing property of the Hyperbola is, that the difference of the distances of... | |
 | Oxford univ, local exams - 1885 - 358 pages
...given ratio, find the locus of Q. 7. From the definition of a parabola as the locus of a point whose distance from a fixed point is equal to its distance from a fixed line, deduce the condition that the equation ax^ + zftxy + by* + zgai+zfy + c = o, shall represent a parabola.... | |
 | Euclid - Geometry - 1890 - 442 pages
...another : find the Locus of their point of contact. 85. On a given straight line find a point whose distance from a fixed point is equal to its distance from a fixed line. State the conditions as to the data which would render the Problem impossible. 86. Prove that all circles... | |
 | Sir George Greenhill - Calculus - 1891 - 494 pages
...easily show that the curve OP satisfies the definition of a parabola as " 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 " by making the angle TOS equal to the angle ТОН, and 08 equal to OH; now if ОТ... | |
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