 | George Boole - 1859 - 538 стор.
...8. y?p — xyq + y* = 0. 9 Integrate the equation of conical surfaces 12. Bequired the equation of the surface which cuts at right angles all the spheres which pass through the origin of coordinates and have their centres in the axis of x. It will be found that this leads... | |
 | Dublin city, univ - 1863 - 312 стор.
...the evolute of a sphoero-conic by the method of spherical co-ordinates. 8. Required the equation of the surface which cuts at right angles all the spheres which pass through the origin of co- ordinates, and have their centres in the axis of x. Treat this question both geometrically... | |
 | George Boole - 1865 - 524 стор.
...+ (b — y] q= c — z. 10. xzp + yzq = xy. nf 2 ii! • (?/ + « • 12. Required the equation of the surface which cuts at right angles all the spheres which pass through the origin of coordinates and have their centres in the axis of x. It will be found that thia leads... | |
 | George Boole - 1865 - 522 стор.
...+ (b — y) q= c — z. 10. xzp + yzq = xy. II. (if + z* — x*} p — 12. Required the equation of the surface which cuts at right angles all the spheres which pass through the origin of coordinates and have their centres in the axis of x. It will be found that this leads... | |
 | George Boole - 1872 - 524 стор.
...y) % = c - z. 10. xsp + yzq = xy. 11. (y* + z* - x*)p - 2xyq + 2xz = 0. 12. Required the equation of the surface which cuts at right angles all the spheres which pass through the origin of coordinates and have their centres in the axis of x, 14. Find the equation of the surface... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 стор.
...remain constant. 44. Find the functional equation of a family of surfaces which cut at right angles all spheres which pass through a given point and have their centres on a given line. 45. Prove that the series 1t,, + n* + , + 1t,, + : + . . . . will be convergent if the limit of —... | |
 | Andrew Russell Forsyth - 1885 - 456 стор.
...cx= F and E being the first and second elliptic integrals and the modulus in each case being 2 . 10. Find the surface which cuts at right angles all the...given point and have their centres on a given line passing through that point. 11. Find the surface in which the coordinates of the point where the normal... | |
 | Andrew Russell Forsyth - 1885 - 452 стор.
.../* and E being the first and second elliptic integrals and the modulus in each case being 2~*. 10. Find the surface which cuts at right angles all the...through a given point and have their centres on a given Hue passing through that point. 11. Find the surface in which the coordinates of the point where the... | |
 | 1897 - 674 стор.
...the base; prove that the triangles APQ and BPQ are equal in area. 5. Prove that all the circles that pass through a given point and have their centres on a given line pass through another fixed point. • fi. If the length of the circumference of the circle of unit... | |
 | University of St. Andrews - 1910 - 722 стор.
...2 + a*y = of. 15. Define a trajectory, and find the orthogonal trajectory of the series of circles which pass through a given point and have their centres on a given line. 16. Show that the ratio s of two independent integrals of 3 + P + Q« = 0 satisfies the differential... | |
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II. (if + z* — x*} p — 12. Required the equation of the surface which cuts at right angles all the spheres which pass through the origin of coordinates and have their centres in the axis of x. It will be found that this leads to the partial differential... 