Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 9
... described touching the plane at a given point and cutting C , the plane of section always contains a given right line . Shew also that if the point of contact be not given , and if the plane of section always contain a given point , the ...
... described touching the plane at a given point and cutting C , the plane of section always contains a given right line . Shew also that if the point of contact be not given , and if the plane of section always contain a given point , the ...
Σελίδα 11
... described through the curve of contact provided P be on a certain right line passing through the origin . 73. A sphere touches each of two right lines which are inclined to each other at a right angle but do not meet ; shew that the ...
... described through the curve of contact provided P be on a certain right line passing through the origin . 73. A sphere touches each of two right lines which are inclined to each other at a right angle but do not meet ; shew that the ...
Σελίδα 18
... described on three semi - conjugate diameters of an ellipsoid as diameters , the locus of their inter- section is the surface determined by a2x2 + b2y2 + c2z2 = 3 ( x2 + y2 + z2 ) 2 . 128. A plane is drawn through the extremities of ...
... described on three semi - conjugate diameters of an ellipsoid as diameters , the locus of their inter- section is the surface determined by a2x2 + b2y2 + c2z2 = 3 ( x2 + y2 + z2 ) 2 . 128. A plane is drawn through the extremities of ...
Σελίδα 25
... described about the ellipsoid x2 , y2 , z2 ++ - 1 , 26 being the mean axis , are represented by the equation ( b2 — c2 ) x2 — ( c2 — a2 ) y2 + ( a2 — b2 ) z2 ± 2 √√ ( a2 — b2 ) √ ( b2 — c2 ) xz = ( a2 — c2 ) b2 . - 171. Three ...
... described about the ellipsoid x2 , y2 , z2 ++ - 1 , 26 being the mean axis , are represented by the equation ( b2 — c2 ) x2 — ( c2 — a2 ) y2 + ( a2 — b2 ) z2 ± 2 √√ ( a2 — b2 ) √ ( b2 — c2 ) xz = ( a2 — c2 ) b2 . - 171. Three ...
Σελίδα 31
... 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 squares of whose axes are in arithmetical progression . · 195. Find the equation to the ...
... 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 squares of whose axes are in arithmetical progression . · 195. Find the equation to the ...
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.