 OP= 4 inches, r = 4 inches. 16. To find the locus of points from which two given circles will be seen under equal angles. Show that the distances from any point in the locus to the centres of the two circles are as the radii of the circles; this reduces...  Exercise Manuals - Page 81by George Albert Wentworth - 1889Full view - About this book
 | Robert Potts - 1865 - 528 pages
...triangle are given, prove that the locus of the middle of the base is a lino given in position. 29. Find the locus of the vertex of a triangle, having given the radius of the inscribed circle and the difference of the sides of the triangle. 30. The base of a triangle... | |
 | Edward Albert Bowser - Geometry, Analytic - 1880 - 314 pages
...adding the square of it to the square of the equation of the perpendicular on it from either focus.] 22. Find the locus of the vertex of a triangle, having given the base = 2m, and the product of the tangents of the base angles = -;• n* [Take the base and a perpendicular... | |
 | George Albert Wentworth - 1884 - 264 pages
...centre of the given circle. If Pis without the circle, the locus bisects the tangent drawn fromP; if Pis within the circle- the locus bisects the two tangents...intensities of the two lights at unit distance are as m : n, and that the intensity varies inversely as the square of the distance. Special case : AB = 6... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 262 pages
...of its distances from the lines Ax+By + (7=0, A'x+B'y + C" = 0 shall be constant and equal to k. 67. The locus of the vertex of a triangle, having given the base and the difference of the squares of the other sides. SUPPLEMENTAKY PEOPOSITIONS. LINES PASSING THROUGH ONE... | |
 | George Albert Wentworth - 1889 - 264 pages
...drawn to one of the circles, and a secant PFG to the other, then PDX PE= PA\ and PFxPG = PB 2 . .\ PDx PE = PFx PG; that is, the radical axis is also the...intensities of the two lights at unit distance are as m : n, and that the intensity varies inversely as the square of the distance. Special case : AB = 6... | |
 | Edward West Nichols - Geometry, Analytic - 1892 - 296 pages
...remain in the co-ordinate axes ; required the equation of the circle generated by its middle point. 22. Find the locus of the vertex of a triangle having given the base =2 a and the sum of the squares of its sides = 2 ¿>a. Ans. x* + у* = b- — a1. 23. Find the locus... | |
 | George Albert Wentworth - 1894 - 362 pages
...origin, and whose semi major and minor axes are s and Vs2 — c2 respectively. 22. Determine and describe the locus of the vertex of a triangle, having given the base 2 c and the product k of the tangents of the angles at the base. Using the same notation and figure... | |
 | George Albert Wentworth - 1898 - 266 pages
...circles are as the radii of the circles; this reduces the problem to Ex. 12. 17. To find the locns of the points from which a given straight line is...intensities of the two lights at unit distance are as m : n, and that the intensity varies inversely as the square of the distance. Special case : AB = 6... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...point to the circle x2 + y1 + 3 (x + y) = 0. Find the equation of the locus of the moving point. 37. Find the locus of the vertex of a triangle having given the base = 2 a, and the sum of the squares of its sides = 2 62. 38. Find the locus of the middle points of chords... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 484 pages
...point to the circle x* + y2 + 3 (x + y) = 0. Find the equation of the locus of the moving point. 37. Find the locus of the vertex of a triangle having given the hase = 2 a, and the sum of the squares of its sides = 2 62. 38. Find the locus of the middle points... | |
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