| Pierce Morton - Geometry - 1830 - 584 pages
...rectangle AS, S A' = the square on В С 93 164. SP= ex—a,HP = ex+a, HP — SP = AA' .... 93 165. To find the locus of a point the difference of whose distances from two fixed points is constant ........ . 9J 166. The equation to the tangent is 167. The rectangle С T,... | |
| Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...equation to the hyperbola may be deduced, as in the analogous case of the ellipse, Art. 117201 . To find the locus of a point, the difference of whose distances from two Jixed points is always equal to a given quantity 2 a. Let S, H be the two fixed points, P the point... | |
| Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...HYPERBOLA REFERRED TO THE Focus. The Focal Distances of any Point, are SP=ex— a HP=ex + a 199 J^ To find the Locus of a Point, the difference of whose Distances from two fixed Points = 2a 201 The Polar Equation (1) When the Focus is the Pole, is - e'-l r = a — — ,... | |
| Mathematics - 1835 - 684 pages
...A' = the square on В С . . . • й 164. SP = e*-a,HP = ex+o, HP — SP = AA' . . • Sî 165. To find the locus of a point the difference of whose distances from two t¡»"< points is constant ........•• 166. The equation to the tangent is У j ~™ * * * 167.... | |
| Michel Chasles - Cone - 1837 - 564 pages
...property also furnishes the following method of investigating the equation to the hyperbola. 170. To find the locus of a point the difference of whose distances from two fixed points is constant. Through the two fixed points S, H (fig. 53) draw the indefinite line Hx,... | |
| John Hymers - Conic sections - 1837 - 486 pages
...property also furnishes the following method of investigating the equation to the hyperbola. 170. To find the locus of a point the difference of whose distances from two fixed points is constant. Through the two fixed points S, H (fig. 53) draw the indefinite line Hx,... | |
| Alfred Wrigley - 1845 - 222 pages
...nates for its centre ; trace this curve and find the magnitude of its axes. 1 73. Find the equation to the locus of a point the difference of whose distances from two fixed points is invariable ; and trace the curve. 174. The base of a triangle is constant, and the... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...2a1scy— sc*=o expressed by polar coordinates is ri=ai tan 20. Loci. Ex. 8. 1. Find the equation to the locus of a point the difference of whose distances from two fixed points is invariable ; and trace the curve. 2. The base of a triangle is constant, and the sum... | |
| Robert Potts - 1863 - 482 pages
...ellipse. Give a construction for drawing the equal conjugate diameters. 13. Defining an hyperbola to be the locus of a point, the difference of whose distances from two fixed points is equal to a given line; shew what the general form of the hyperbola must be, and draw... | |
| Charles Taylor - Conic sections - 1863 - 262 pages
...locus of a point, the sum of whose distances from two fixed points is constant; and a Hyperbola as the locus of a point the difference of whose distances from two fixed points is constant. In either case it is easily seen that the constant length is equal to A A'... | |
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