 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 the problem to Ex. 12. 17. To...  Wentworth & Hill's Exercise Manuals: Geometry - Page 85by George Albert Wentworth - 1884Full 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 - 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
...of the given circle. If P is without the circle, the locus bisects the tangent drawn from P; if P is within the circle, the locus bisects the two tangents...the intensity varies inversely as the square of the distance. Special case : AB = 6 inches, m = 2, n = 1. 20. Through a point A a line is drawn meeting... | |
 | George Albert Wentworth - 1889 - 276 pages
...the given circle. If P is without the circle, the locus bisects the tangent drawn from P - if P is within the circle, the locus bisects the two tangents...intensities of the two lights at unit distance are as ra : n, and that the intensity varies inversely as the square of the distance. Special case : AB =... | |
 | 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... | |
 | 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... | |
 | Levi Leonard Conant - Geometry - 1905 - 134 pages
...567. Find the locus of a point from which a given line is seen so as to subtend a given angle. 568. Find the locus of the vertex of a triangle, having...given the base and the ratio of the other two sides. 569. Through any given point draw a line which shall cut the sides of a given angle so that the segments... | |
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