| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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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