Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 11
... inclined to each other at a right angle but do not meet ; shew that the locus of its centre is an hyperbolic paraboloid . 74. Shew that by properly choosing the rectangular axes any two lines may be represented represented by the ...
... inclined to each other at a right angle but do not meet ; shew that the locus of its centre is an hyperbolic paraboloid . 74. Shew that by properly choosing the rectangular axes any two lines may be represented represented by the ...
Σελίδα 12
... inclination of the cutting plane to the base do not exceed the excentricity of the base , the locus of the foci of the section will be a circle . 85. Find the curves of intersection of the surface xy + yz + zx = a2 with planes parallel ...
... inclination of the cutting plane to the base do not exceed the excentricity of the base , the locus of the foci of the section will be a circle . 85. Find the curves of intersection of the surface xy + yz + zx = a2 with planes parallel ...
Σελίδα 23
... inclination of the cutting plane to the axis . 162. If through any fixed point chords be drawn to an ellipsoid , the intersection of pairs of tangent planes at their extremities all lie in one plane . 163. Let S be a fixed point , and ...
... inclination of the cutting plane to the axis . 162. If through any fixed point chords be drawn to an ellipsoid , the intersection of pairs of tangent planes at their extremities all lie in one plane . 163. Let S be a fixed point , and ...
Σελίδα 31
... inclined to each other at a given angle ; on PP ' any chord of one of them parallel to AB is described a circle with its plane parallel to that of the other circle ; shew that the surface generated by these circles is an ellipsoid the ...
... inclined to each other at a given angle ; on PP ' any chord of one of them parallel to AB is described a circle with its plane parallel to that of the other circle ; shew that the surface generated by these circles is an ellipsoid the ...
Σελίδα 40
... inclined to the axis of the cone at a constant angle ẞ ; shew that the locus of the point is deter- mined by the ... inclination to the base of the cone , and that the consecutive distances between the points at which it cuts any one ...
... inclined to the axis of the cone at a constant angle ẞ ; shew that the locus of the point is deter- mined by the ... inclination to the base of the cone , and that the consecutive distances between the points at which it cuts any one ...
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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.