 | Thomas Kimber - 1880 - 176 páginas
...equation to the straight line drawn from the given point (h, k) perpendicular to the given straight line Find also the equation to the system of circles passing...the angles PSA, PHA meet in the tangent at P. (July I7th. — Afiernoon.) 9. Investigate the equation to the parabola, y* = 4 a x. Explain the geometrical... | |
 | Eldred John Brooksmith - 1904 - 378 páginas
...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 - 1907 - 452 páginas
...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 - 1909 - 456 páginas
...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 - 1912 - 364 páginas
...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 - 1917 - 584 páginas
...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 - 1919 - 510 páginas
...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 - 1995 - 146 páginas
...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 páginas
...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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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, and find the equation of the locus of P. 