| William Henry Maltbie - Geometry, Analytic - 1906 - 156 pages
...comparison of the result with that of problem 3 give any hint as to the nature of the curve? 6. Show that if **a point moves so that the sum of the squares of its distances from** three fixed points is constant, the equation of its path will always be of the second degree, will... | |
| William Meath Baker - Conic sections - 1906 - 363 pages
...-- 4:X - 6y = 0 is always equal to 2\/3. Find the equation of, and draw the locus of the point. 4. **A point moves so that the sum of the squares of its distances from** the angular points of a square is constant. Prove that its locus is a circle. 5. A point P moves so... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...point from which a given straight line is seen at a given angle. 796 Find the locus of a point such **that the sum of the squares of its distances from two fixed points** shall be constant. 797 Find the locus of a point which divides all chords of a given circle into segments... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...point from which a given straight line is seen at a given angle. 796 Find the locus of a point such **that the sum of the squares of its distances from two fixed points** shall be constant. 797 Find the locus of a point which divides all chords of a given circle into segments... | |
| University of Oxford - 1907 - 160 pages
...lines meeting at F. Prove that AF bisects the angle ВАС. 4. (6) Find the locus of a point which **moves so that the sum of the squares of its distances from two fixed points** is a constant area. 7. A, B, C, D are the vertices taken in order of a quadrilateral formed by four... | |
| Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...[Suggestion. If P be any point on the line, use formulae of § 12 to prove — 2 (OP2 + OA2 - AP2) = 0.] 5. **A point moves so that the sum of the squares of its distances from** a number of points A, B, C, etc., has a constant value. Prove that it remains at -a constant distance... | |
| Education - 1908 - 1176 pages
...jr, equidistant from the origin 0, and /1/.V/ js an eqnilatural triangle. Show that a point, which **moves so that the sum of the squares of its distances from** the sides of the triangle is :\OA'*, describes a circle. Find the radius, and the oo ordinates of the... | |
| Great Britain. Scottish Education Department - Education - 1908 - 1232 pages
....<•, equidistant from the origin 0, and AtifJ is an equilateral triangle. Show that a point, which **moves so that the sum of the squares of its distances from** the sides of the triangle is :.\OA-, describes a circle. Find the radius, and ihe oo ordinates of the... | |
| Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 412 pages
...sides. Show that the locus is a circle which passes through the vertices of the two base angles. 80. **A point moves so that the sum of the squares of its distances from** the four sides of a square is constant. Find its locus. 81. A point moves so that the sum of the squares... | |
| 1910 - 322 pages
...are each double of F, and if the bisector of the angle G meets FH in K, prove that FK = GK = GH. (b) **A point moves so that the sum of the squares of its...is a circle, having for centre the midpoint of AB.** (c) The tangent to a circle at P cuts two parallel tangents at Q, R ; prove that the rectangle QP.... | |
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