Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 16
... similar curves . Having given the area of the section of an ellipsoid by the plane lx + my + nz = 0 , find the area ... similar to the given ellipsoid and similarly situated can be made to pass through the given point , the points of ...
... similar curves . Having given the area of the section of an ellipsoid by the plane lx + my + nz = 0 , find the area ... similar to the given ellipsoid and similarly situated can be made to pass through the given point , the points of ...
Σελίδα 19
... similar and similarly situated surfaces of the second order intersect each other , the planes of their inter- sections two and two all pass through one point . 135. If three chords be drawn mutually at right angles through a fixed point ...
... similar and similarly situated surfaces of the second order intersect each other , the planes of their inter- sections two and two all pass through one point . 135. If three chords be drawn mutually at right angles through a fixed point ...
Σελίδα 20
... similar to either of the former , its centre being on the surface of B , and axes parallel to those of A or B ; shew ... similar and similarly situated ellipsoids are cut by a series of ellipsoids similar and similarly situated to the ...
... similar to either of the former , its centre being on the surface of B , and axes parallel to those of A or B ; shew ... similar and similarly situated ellipsoids are cut by a series of ellipsoids similar and similarly situated to the ...
Σελίδα 26
... similar to the given one and similarly situated . Prove that any two cones of the series intersect one another in two planes . 177. Prove that if , in the preceding example , the vertices are supposed to lie also on a third ellipsoid ...
... similar to the given one and similarly situated . Prove that any two cones of the series intersect one another in two planes . 177. Prove that if , in the preceding example , the vertices are supposed to lie also on a third ellipsoid ...
Σελίδα 27
... similar to A and similarly placed has the vertex of the cone for centre and cuts the cone in a curve ( B ) . If the major axis of this ellipsoid vary as the distance of its centre from A's , prove that the locus of B is an elliptic ...
... similar to A and similarly placed has the vertex of the cone for centre and cuts the cone in a curve ( B ) . If the major axis of this ellipsoid vary as the distance of its centre from A's , prove that the locus of B is an elliptic ...
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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.