Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 7
... locus of the middle points of all straight lines parallel to a fixed plane and terminated by two fixed right lines which do not intersect is a straight line . 49. The equation to a plane is lx + my + nz = 0 ; find the equations to a ...
... locus of the middle points of all straight lines parallel to a fixed plane and terminated by two fixed right lines which do not intersect is a straight line . 49. The equation to a plane is lx + my + nz = 0 ; find the equations to a ...
Σελίδα 8
... locus of the foci of the sections . 56. Find the locus of a point which is equidistant from every point of the circle determined by the equations x2 + y2 + z2 = a2 , lx + my + nz = p . 57. Shew that the section of the surface z2 = xy by ...
... locus of the foci of the sections . 56. Find the locus of a point which is equidistant from every point of the circle determined by the equations x2 + y2 + z2 = a2 , lx + my + nz = p . 57. Shew that the section of the surface z2 = xy by ...
Σελίδα 11
... 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 equations y = mx 2 = c } y = тх } • 2 = -c Determine the locus of a point ...
... 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 equations y = mx 2 = c } y = тх } • 2 = -c Determine the locus of a point ...
Σελίδα 12
... locus of the centre of the sphere , and shew that it will describe a portion of an equilateral hyperbola , if the plane in which it moves be that which contains the greatest and the least axes , and if the foci of the other prin- cipal ...
... locus of the centre of the sphere , and shew that it will describe a portion of an equilateral hyperbola , if the plane in which it moves be that which contains the greatest and the least axes , and if the foci of the other prin- cipal ...
Σελίδα 14
... locus of the vertices of all right cones which have the same given ellipse as base . 97. Find the axes of the section of the ellipsoid х to y2 z2 + 1 made by the plane lx + my + nz = 0 . 98. The semiaxes of an ellipsoid are a , b 14 ...
... locus of the vertices of all right cones which have the same given ellipse as base . 97. Find the axes of the section of the ellipsoid х to y2 z2 + 1 made by the plane lx + my + nz = 0 . 98. The semiaxes of an ellipsoid are a , b 14 ...
Άλλες εκδόσεις - Προβολή όλων
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.