Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 10
... traces out . 68. Find the length of the perpendicular from a given point on a given straight line in space . Investigate the equation to a right cone , having the axis , vertex , and vertical angle given ; and determine the condition ...
... traces out . 68. Find the length of the perpendicular from a given point on a given straight line in space . Investigate the equation to a right cone , having the axis , vertex , and vertical angle given ; and determine the condition ...
Σελίδα 22
... trace out a concentric ellipsoid whose volume is equal to that of the original ellipsoid . 157. Investigate the conditions necessary in order that the equation ax2 + by2 + cz2 + 2a'yz + 26 ' zx + 2c'xy = 0 may represent two planes . 158 ...
... trace out a concentric ellipsoid whose volume is equal to that of the original ellipsoid . 157. Investigate the conditions necessary in order that the equation ax2 + by2 + cz2 + 2a'yz + 26 ' zx + 2c'xy = 0 may represent two planes . 158 ...
Σελίδα 43
... ( y - b ) tan · α 268. The trace on the plane of ( y , z ) of the locus of the extremities of the principal radii of curvature of the ellipsoid whose equation is ++ 22 c2 = 1 is given by the equation { ( by ) 2 CURVATURE OF SURFACES . 43.
... ( y - b ) tan · α 268. The trace on the plane of ( y , z ) of the locus of the extremities of the principal radii of curvature of the ellipsoid whose equation is ++ 22 c2 = 1 is given by the equation { ( by ) 2 CURVATURE OF SURFACES . 43.
Σελίδα 55
... trace on the plane of ( y , z ) . 356. Explain the nature of the surface defined by the equation y = { ( + 2 ) } { ( + ) - m } + near the points where it meets the hyperboloid 4 x2 2 2 a2 + = b2 + c2 1 in the several cases in which m is ...
... trace on the plane of ( y , z ) . 356. Explain the nature of the surface defined by the equation y = { ( + 2 ) } { ( + ) - m } + near the points where it meets the hyperboloid 4 x2 2 2 a2 + = b2 + c2 1 in the several cases in which m is ...
Σελίδα 58
... trace hyperbolic spirals . 371. A triangle ABC revolves about a straight line which bisects the angle A , and the conical surface generated by the sides containing that angle is cut by a plane passing through the other side and ...
... trace hyperbolic spirals . 371. A triangle ABC revolves about a straight line which bisects the angle A , and the conical surface generated by the sides containing that angle is cut by a plane passing through the other side and ...
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Examples of Analytical Geometry of Three Dimensions Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Examples of Analytical Geometry of Three Dimensions Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra Arithmetic ax² axis by² Calculus centre circle cloth co-ordinate planes Collection of Examples Conic Sections conical surface conjugate diameters constant contains cos² Crown 8vo curve of intersection cylinder determined developable surface differential equation distance ELEMENTARY ellipse ellipsoid English Find the equation find the locus fixed point fixed straight lines given plane given point hyperbolic hyperboloid John's College late Fellow Latin line of intersection Morocco numerous Examples origin osculating plane parabola paraboloid plane parallel plane passing plane which passes planes are drawn points of contact principal radii principal sections radii of curvature represent right angles right cone Second Edition second order shew sphere ST JOHN'S COLLEGE student surface of revolution surface whose equation tangent plane tetrahedron tions Treatise vertex volume x² y² y² z² y²+z²
Δημοφιλή αποσπάσματα
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