Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 1
... length of the perpendicular from the origin on the plane in Example 1 . 7. Find the length of the perpendicular from C on the plane in Example 2 . 8. Find the angle between the planes in Example 3 . 9. Find the angle between the line in ...
... length of the perpendicular from the origin on the plane in Example 1 . 7. Find the length of the perpendicular from C on the plane in Example 2 . 8. Find the angle between the planes in Example 3 . 9. Find the angle between the line in ...
Σελίδα 3
... length of the perpendicular from the point ( 1 , 1 , 2 ) upon the line x = y = 2z . - 22. Find the equation to the plane which passes through the lines and х - a x し-- ľ a = = y - b Z - C n m - y m ' b 2 -c n 23. Find the equations to ...
... length of the perpendicular from the point ( 1 , 1 , 2 ) upon the line x = y = 2z . - 22. Find the equation to the plane which passes through the lines and х - a x し-- ľ a = = y - b Z - C n m - y m ' b 2 -c n 23. Find the equations to ...
Σελίδα 5
... lengths of the perpendiculars from the origin upon the two planes which pass through their line of intersection . and bisect the angles between them . 38. Find the equation to a plane parallel to two THE STRAIGHT LINE AND PLANE . 5.
... lengths of the perpendiculars from the origin upon the two planes which pass through their line of intersection . and bisect the angles between them . 38. Find the equation to a plane parallel to two THE STRAIGHT LINE AND PLANE . 5.
Σελίδα 10
... length of that portion ; find the equation to the surface which it 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 ...
... length of that portion ; find the equation to the surface which it 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 ...
Σελίδα 15
... length ; shew that the equation to the locus of P is a2x2 + b2y2 + c2z2 = a2b2c 100. The sum of the squares of the reciprocals of the areas of the sections of an ellipsoid made by any three diame- tral planes at right angles to each ...
... length ; shew that the equation to the locus of P is a2x2 + b2y2 + c2z2 = a2b2c 100. The sum of the squares of the reciprocals of the areas of the sections of an ellipsoid made by any three diame- tral planes at right angles to each ...
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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.