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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

## 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...

## 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 ....