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書籍 Find the locus of a point the sum of the squares of whose distances from two given... の書籍検索結果 64 件中 1 - 10 件目
" Find the locus of a point the sum of the squares of whose distances from two given points is constant. "
A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 27 ページ
John Casey 著 - 1882 - 158 ページ
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The Edinburgh encyclopaedia, conducted by D. Brewster

Edinburgh encyclopaedia, David Brewster (sir) - 1830
...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...

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...

An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 320 ページ
...such a way that these planes may '' N 'f 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). !f\2. Find the equation...

An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 320 ページ
...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...

Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873
...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...

Mathematical Questions with Their Solutions, from the "Educational Times"...

W. J. C. Miller, D. Biddle - 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....

Mathematical Questions and Solutions, from the "Educational Times.", 第 20 巻

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...

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 182 ページ
...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...

AN ELEMENTARY TREATISE ON MENSURATION

GEORGE BRUCE HALSTED - 1881
...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...

An Elementary Treatise on Conic Sections

Charles Smith - 1883 - 352 ページ
...from the four sides of a square is constant ; shevr that the locus of the point is a circle. 3. The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle. 4. A, B are two fixed points, and P moves so that PA = n ....




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