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" FIND a point the distances of which from three given points, not in the same straight line, are proportional to p, q and r respectively, the four points being in the same plane. 2. If TP, TQ be two tangents drawn from any point T to touch a conic in P... "
Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ... - Page 475
by William Allen Whitworth - 1866 - 506 pages
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...sections. TUESDAY, Jan. 17. 9 to 12. SENIOR MODERATOR. Arabic numbers. JONIOR MODERATOR. Roman numbers. 1. FIND a point the distances of which from three given...respectively, the four points being in the same plane. Let A, B and C be the three points. Divide AB in D so that AD : DB :: p : q, and in AB produced take...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...the point of contact be one of four fixed points on the ellipsoid. TUE8DAY, January 17. 9 to 12. 1. FIND a point the distances of which from three given...respectively, the four points being in the same plane. 2. If TP, TQ be two tangents drawn from any point T to touch a conic in P and Q, and if S and H be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...its distances from the extremities, may be proportional to its distances from the given points. 85. Find a point the distances of which from three given...respectively, the four points being in the same plane. 86. Two equal straight lines meet at one extremity; draw a straight line passing through their common...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...segment of the line between the circle and the tangent shall be any required part of the tangent 105. Find a point the distances of which from three given...in the same straight line are proportional to p, q, r respectively, the four points being in the same plane. 106. AB is the diameter of a circle, D any...
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