 | W. J. C. Miller - 1870 - 120 pàgines
...ROBERTS, 5I.A.) — The cone x- cofa + y- cot2 8— z2 = 0 intersects the sphere .r2 -l- y2 + 12 — a3 = 0 in a sphero-conic. Show that the equation of the tubular surface, which is tho envelope of a sphere of constant radius k, whose centre moves on this sphero-conic, is had by equating... | |
 | 1891 - 208 pàgines
...Roberta, MA)— The cone x'¿ cotf z + y^ coi ß — z- = О intersects the sphere х- + i/2 + z2— a2 = 0 in a sphero-conic. Show that the equation of the...whose centre moves along this sphero-conic, is had by e juating to zero the discriminant of the following cubic in Л, 4я2 sin2 аг2 4njsin2fl;,2 г3 ,... | |
 | Edouard Goursat - 1904 - 568 pàgines
...revolution evidently belong to the preceding class. Another interesting particular case is the so-called tubular surface, which is the envelope of a sphere of constant radius whose center describes an arbitrary curve F. The characteristic curves are the circles of radius B... | |
 | Edouard Goursat - 1904 - 568 pàgines
...revolution evidently belong to the preceding class. Another interest ing particular case is the so-called tubular surface, which is the envelope of a sphere of constant radius whose center describes an arbitrary curve r. The characteristic curves are the circles of radius R... | |
 | 1897 - 526 pàgines
...MA) — The cone z 2 cot = o + y ! cot : )8— z : = 0 intersects the sphere ir + yV + z"— a 2 = 0 in a sphero-conic. Show that the equation of the...which is the envelope of a sphere of constant radius It, whose centre moves along this sphero-conic, is had by equating to zero the discriminant of the... | |
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The cone intersects the sphere x^ + y^ + z1— 
