| Lyn Baker - Higher School Certificate Examination (N.S.W.) - 2001 - 316 pages
...u = 8 or u = 1. 2х = 8 x = 3 or or 2х =1 x = 0. The Parabola x2 = 4Ay A parabola is the locus of a point which moves so that its distance from a fixed point (the focus S) is equal to its distance from a fixed line (the directrix). The focal length is the distance... | |
| N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...jc-7 y-2 z-4 11 4 1 = -1 ' 0 3 6 2 2 = -3 = 6 THE SPHERE 4.43. DEFINITION A sphere is the locus of a point which moves so that its distance from a fixed point always remains constant. The fixed point is called the centre and the constant distance is called the radius... | |
| A.E. Roy - Science - 2020 - 552 pages
...circle). These cases will now be examined in detail. 4.5 The Elliptic Orbit An ellipse is the locus of a point which moves so that its distance from a fixed point, the focus, bears a constant ratio (less than 1) to its distance from a fixed line, the directrix. In... | |
| Martin V. Zombeck - Science - 2006 - 95 pages
...Fundamental Formulas of Physics DH Menzel, ed., Prentice-Hall, Inc., 1955) or Definition: the locus of a point which moves so that its distance from a fixed point (focus) bears a constant ratio e (eccentricity) to its distance from a fixed straight line (directrix).... | |
| Narayan Shanti & Mittal P.K. - Mathematics - 2007 - 436 pages
...of a conic. I. The definition according to Maccullagh is as follows : The conicoid is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a given straight line measured parallel to a given plane.... | |
| Jeff Geha - Juvenile Nonfiction - 2007 - 364 pages
...143 LOCUS AND THE PARABOLA (A) The Parabola x 2 = 4 av (i) Locus A parabola is defined as a 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 straight line (called the directrix). This... | |
| John Bryant, Christopher J. Sangwin - Mathematics - 2008 - 352 pages
...the directrix (see figure 2.26). Indeed, the parabola is more traditionally defined as the locus of a point which moves so that its distance from a fixed point is equal to its perpendicular distance from a fixed straight line. From this its equation is derived.... | |
| Manchester univ - 1877 - 544 pages
...fixed line. Prove the curve concave to the axis of x. 8. Find the equation to the curve traced out by a point which moves so that its distance from a fixed point is to its distance from a fixed line in a constant ratio of greater inequality. Determine the distance... | |
| 352 pages
...Prove also that the tangents at P and Q meet on a fixed line. 9. Find the equation of the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed line. Show that the point of intersection of any two perpendicular... | |
| 288 pages
...extends indefinitely. The conic is then a 'parabola,' and A is its 'vertex.' A parabola is the locus of a point which moves so that its distance from a fixed point equals its distance from a fixed line. If the eccentricity is less than 1, then SA < AK. Hence AE<AK,... | |
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