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Find the locus of a point the sum of the squares of whose distances from two given points is constant.
Elements of analytic geometry - Página 81
de Simon Newcomb - 1885 - 356 páginas
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## The Edinburgh encyclopaedia, conducted by D. Brewster

...have u = у, z = я /, * = e, and ç y = sin. u ; conjequently и =: :-fc sin. z (sin. z) — t ¡on of a point, the sum of the squares of whose distances from four given pointe in space shall be the least possible. Let one of the pointe be the origin of the...
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## Calendar of Queen's [afterw.] University college, Cork

Cork city, univ. coll - 1851
...respectively. Find the ratio of their areas. 6. Explain what is meant by the locus of a point. Determine the locus of a point, the sum of the squares of whose distances from two given points is constant. What is the limiting case of this problem. 7- The base and hypothenuse...
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## An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 320 páginas
...them a plane in such a way that these planes may intersect in a common line ? 10. Find the equation of the locus of a point the sum of the squares of whose distances from a number of given planes is constant. 11. Substitute " lines" for " planes" in (10). 12. Find the equation...
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## An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 320 páginas
...them a plane in such a way that these planes may intersect in a common line ? 10. Find the equation of the locus of a point the sum of the squares of whose distances from a number of given planes is constant. 11. Substitute " lines" for "planes" in (10). 12. Find the equation...
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## A Treatise on Analytic Geometry: Especially as Applied to the Properties of ...

George Holmes Howison, Joseph Ray - 1869 - 574 páginas
...(Art. 233,) the equation is a (cos/? — cos C) + 0(coa C— cos A)+ y(cosA — cos U) = 0. 10. What is the locus of a point, the sum of the squares of the perpendiculars from which on the sides of a triangle is constant? Show that when the locus is a...
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## Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873
...That if 6 = 0, с = 0, the question is satisfied by p = 00, whatever be a, therefore &o. Ex. 5. Find the locus of a point, the sum of the squares of whose distances from a number of given planes is constant. Let tfSipl = (7,, SSj12 = Ct, cfcc. be the equations of the given...
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## Mathematical Questions and Solutions, from the "Educational Times ..., Volume 20

W. J. C. Miller - 1874
...found in Chauvenet's Elementary (jeumrtry, pp. 230, 236.] 4128. (Proposed by AB EVANS, MA) — Find the locus of a point the sum of the squares of whose distances from the vertices of a given triangle is constant. I. Solution by H. MURPHY. Let the vertices be A, B, C....
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## Mathematical Questions and Solutions, from the "Educational Times.", Volume 20

1874
...solid angles, faces, and edges of any polyhedron (Euler's theorem) 26 4128. (AB Evans, MA) — Find the locus of a point the sum of the squares of whose distances from the vertices of a given triangle is constant 28 4135. (JJ Walker, MA) — A vertical circle may be...
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## Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 182 páginas
...their squares is equal to three times the sum of the squares of the sides of the triangle. Ex. 285. The locus of a point, the sum of the squares of whose distances from two fixed points is constant, is the circumference of a circle. Ex. 286. Convert a parallelogram into...
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## AN ELEMENTARY TREATISE ON MENSURATION

GEORGE BRUCE HALSTED - 1881
...20. 14. Prove ii + 42 + 42 "^ i (^2 + ^2 + c-2). 15. In any right-angled triangle prove Ja-==. 15 16. The locus of a point, the sum of the squares of whose distances from two fixed points is constant, is a circumference whose center is the midpoint of the straight line...
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