Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 18
... diameters of an ellipsoid as diameters , the locus of their inter- section is the surface determined by a2x2 + b2y2 + c2z2 = 3 ( x2 + y2 + z2 ) 2 . 128. A plane is drawn through the extremities of three semi - conjugate diameters of an ...
... diameters of an ellipsoid as diameters , the locus of their inter- section is the surface determined by a2x2 + b2y2 + c2z2 = 3 ( x2 + y2 + z2 ) 2 . 128. A plane is drawn through the extremities of three semi - conjugate diameters of an ...
Σελίδα 19
Isaac Todhunter. 131. Shew that the locus of the diameters of the ellipsoid 2 2 x2 , y2 , z2 a2 + b2 + c2 + = 1 , which are parallel to the chords bisected by tangent planes to the cone + B2 y2 = 0 , 0 , is the cone ... diameters of the ...
Isaac Todhunter. 131. Shew that the locus of the diameters of the ellipsoid 2 2 x2 , y2 , z2 a2 + b2 + c2 + = 1 , which are parallel to the chords bisected by tangent planes to the cone + B2 y2 = 0 , 0 , is the cone ... diameters of the ...
Σελίδα 20
... diameters . 139. The edges of a parallelepiped are 2a , 2b , 2c ; shew that an ellipsoid concentric with it and whose semidiameters parallel to the edges are a 2 , b2 , c√2 , intersects the faces in ellipses which touch each other and ...
... diameters . 139. The edges of a parallelepiped are 2a , 2b , 2c ; shew that an ellipsoid concentric with it and whose semidiameters parallel to the edges are a 2 , b2 , c√2 , intersects the faces in ellipses which touch each other and ...
Σελίδα 21
... diameters is greatest when the diameters are equal , 150. A surface of the second order circumscribes a tetra- SURFACES OF THE SECOND ORDER . 21.
... diameters is greatest when the diameters are equal , 150. A surface of the second order circumscribes a tetra- SURFACES OF THE SECOND ORDER . 21.
Σελίδα 24
... diameters , both in magnitude and position . Let any tangent plane be drawn to the ellipsoid at a point P ; this will intersect in general the hyperboloid in a plane curve , through which if there be drawn any three tangent planes to ...
... diameters , both in magnitude and position . Let any tangent plane be drawn to the ellipsoid at a point P ; this will intersect in general the hyperboloid in a plane curve , through which if there be drawn any three tangent planes to ...
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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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