 | Thomas Kimber - Mathematics - 1865 - 302 pages
...line drawn from the given point (h, k) perpendicular to the given straight line ax-\-by-\-c — 0. Find also the equation to the system of circles passing...the angles PSA, PHA meet in the tangent at P. (July nth. — Afternoon.) 9. Investigate the equation to the parabola, y' = 4 a x. Explain the geometrical... | |
 | Thomas Kimber - 1874 - 352 pages
...• sin. A a ( ' "iïnTB ~ 6' A tan- 7Г , , , . (2) -* = LjjlJ?. Where s = a + b + c. tan — ~ " Explain how you would proceed to find the distance...the angles PSA, PHA meet in the tangent at P. (July nth. — Afternoon.) 9. Investigate the equation to the parabola, y* = 4 a x. Explain the geometrical... | |
 | Eldred John Brooksmith - 1904 - 378 pages
...through these points. Find its equation and draw it. 5. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly,... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...and arrange this in order to find the equation of the locus in the most convenient form. Example. — A point P moves so that the sum of its distances from the points S(5, 0) and S'( - 5, 0) is equal to 26 ; find the loons. Let P be (,r, ?/.) (i) SP + S'P... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...through these points. Find its equation and draw it. 5. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly,... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...157. 62. The ellipse. Let us solve the following locus problem : Given two fixed points F and „. F1. A point P moves so that the sum of its distances from F and F1 remains constant. Determine the nature of the locus. Solution. Draw the z-axis through F and... | |
 | John Wesley Young, Frank Millett Morgan - Functions - 1917 - 584 pages
...equidistant from a plane and a line perpendicular to the plane. Find the equation of the locus of P. 3. A point P moves so that the sum of its distances from the three coordinate planes is equal to its distance from the origin. Find the equation of the locus... | |
 | George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...ellipse ; the points A and A' are called the vertices of the ellipse. 152 ANALYTICAL GEOMETRY. Ex. 2. A point P moves so that the sum of its distances from the points (c, 0) and ( - c, 0) is 2a, where a > c ; prove that the equation of the ellipse traced... | |
 | Dan Pedoe - Mathematics - 1995 - 146 pages
...centre A is equal to (PA)2. Hence determine the locus of a point P which moves so that the ratio PA : PB of its distances from two given points A and B is constant. 1.10. A is a point of intersection of circles # and 2i, and a line through A intersects # again in... | |
 | 392 pages
...points on the curve and draw it. Army, 1902. Ex. 35. A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of coordinates the line AB and the line bisecting AB at right angles,... | |
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Explain how you would proceed to find the distance from a given point to any object on the other side of a river, supposing that you cannot cross the river, and that you have no instrument for measuring angles. 7. Find the equation to the straight line... 