Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 1
... vertex opposite to A , E that opposite to B , F that opposite to C , G that opposite to 0. Let OA = a , OB = b , OC = c ; and use these data in the following Examples from 1 to 11 . 1. Find the equation to the plane passing through D ...
... vertex opposite to A , E that opposite to B , F that opposite to C , G that opposite to 0. Let OA = a , OB = b , OC = c ; and use these data in the following Examples from 1 to 11 . 1. Find the equation to the plane passing through D ...
Σελίδα 5
... vertex in the plane of the triangle is equal to the pyramid which has the triangle for base and the origin for vertex . 34. Find the equations to the straight line joining the points ( a , b , c ) and ( a ' , b ' , c ' ) ; and shew that ...
... vertex in the plane of the triangle is equal to the pyramid which has the triangle for base and the origin for vertex . 34. Find the equations to the straight line joining the points ( a , b , c ) and ( a ' , b ' , c ' ) ; and shew that ...
Σελίδα 9
... vertices are A , B , and bases BC , AC respectively ; shew that the cones have a common tangent plane , and a common ... vertex at the origin and passes through all the points of con- tact of the tangent planes with the ellipsoid . 64 ...
... vertices are A , B , and bases BC , AC respectively ; shew that the cones have a common tangent plane , and a common ... vertex at the origin and passes through all the points of con- tact of the tangent planes with the ellipsoid . 64 ...
Σελίδα 10
... vertex , and vertical angle given ; and determine the condition under which the section made by a plane parallel to one of the co - ordinate planes will be an ellipse . 69. Determine the radii of the spheres which touch the co ...
... vertex , and vertical angle given ; and determine the condition under which the section made by a plane parallel to one of the co - ordinate planes will be an ellipse . 69. Determine the radii of the spheres which touch the co ...
Σελίδα 12
... vertex of the cone be any point of the surface + y 2 b2 - a2 1 . 82. An ellipsoid is cut by a plane parallel to one of its principal planes ; shew that all normals to the ellipsoid at points in the curve of section pass through two ...
... vertex of the cone be any point of the surface + y 2 b2 - a2 1 . 82. An ellipsoid is cut by a plane parallel to one of its principal planes ; shew that all normals to the ellipsoid at points in the curve of section pass through two ...
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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.