Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 4
... drawn ; perpendicular to this plane and through its line of intersection with the plane of ( x , y ) another plane is drawn ; find its equation . 31. Find the equation to the plane which passes through a given point and is perpendicular ...
... drawn ; perpendicular to this plane and through its line of intersection with the plane of ( x , y ) another plane is drawn ; find its equation . 31. Find the equation to the plane which passes through a given point and is perpendicular ...
Σελίδα 6
... drawn perpendicular to the third ; prove that in general the planes thus drawn pass through the same line . 45. The equations to a line are a - cy + bz B ― az + cx α b y - bx + ay = C express them in the ordinary symmetrical form . 46 ...
... drawn perpendicular to the third ; prove that in general the planes thus drawn pass through the same line . 45. The equations to a line are a - cy + bz B ― az + cx α b y - bx + ay = C express them in the ordinary symmetrical form . 46 ...
Σελίδα 8
... drawn meeting a given plane in Q , and the rectangle OP . OQ is invariable ; find the locus of P. 55. Sections of an ellipsoid are made by planes which all contain the least axis ; find the locus of the foci of the sections . 56. Find ...
... drawn meeting a given plane in Q , and the rectangle OP . OQ is invariable ; find the locus of P. 55. Sections of an ellipsoid are made by planes which all contain the least axis ; find the locus of the foci of the sections . 56. Find ...
Σελίδα 9
... drawn to an ellipsoid from a given external point ; find the equation to the cone which has its vertex at the origin and passes through all the points of con- tact of the tangent planes with the ellipsoid . 64. If tangent planes be drawn ...
... drawn to an ellipsoid from a given external point ; find the equation to the cone which has its vertex at the origin and passes through all the points of con- tact of the tangent planes with the ellipsoid . 64. If tangent planes be drawn ...
Σελίδα 13
... drawn touching the sphere is a conic section having the point of contact for a focus . 87. Shew that any plane parallel to the planes of ( x , z ) or ( y , z ) will meet the surface whose equation is xy = az in a straight line ; if a ...
... drawn touching the sphere is a conic section having the point of contact for a focus . 87. Shew that any plane parallel to the planes of ( x , z ) or ( y , z ) will meet the surface whose equation is xy = az in a straight line ; if a ...
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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
Σελίδα 15 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Σελίδα 5 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 7 - Calculus — a connection which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations.
Σελίδα 9 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.