Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 2
... face AEGF . 12. Interpret the equation x2 + y2 + z2 = ( x cos a + y cos B + z cos y ) 2 , where cos2 a + cos2 B + cos2 y = 1 . 13. Find the angle between the line х y 2 = = and 2 √ / 3 √ / 2 ' X the line = √ / 3 y , z = 0 . 14. Find ...
... face AEGF . 12. Interpret the equation x2 + y2 + z2 = ( x cos a + y cos B + z cos y ) 2 , where cos2 a + cos2 B + cos2 y = 1 . 13. Find the angle between the line х y 2 = = and 2 √ / 3 √ / 2 ' X the line = √ / 3 y , z = 0 . 14. Find ...
Σελίδα 10
... face , is ( C + i ) y = + ( 2 + 2 ) 2x + ( † + 1 ) xy = 0 , ( + ) and that the plane ax + by + cz = 0 is parallel to the sub- contrary sections of the cone . Find the corresponding equations when either of the other angular points of ...
... face , is ( C + i ) y = + ( 2 + 2 ) 2x + ( † + 1 ) xy = 0 , ( + ) and that the plane ax + by + cz = 0 is parallel to the sub- contrary sections of the cone . Find the corresponding equations when either of the other angular points of ...
Σελίδα 20
... faces in ellipses which touch each other and the edges . 140. Two similar and similarly situated ellipsoids are cut by a series of ellipsoids similar and similarly situated to the two given ones , so that the planes of intersection of ...
... faces in ellipses which touch each other and the edges . 140. Two similar and similarly situated ellipsoids are cut by a series of ellipsoids similar and similarly situated to the two given ones , so that the planes of intersection of ...
Σελίδα 22
... face is parallel to the tangent plane at the opposite angular point ; shew that the equation to the surface , taking as oblique axes the three edges of the tetrahedron which meet in one of its angular points , is axy2- by z2 Cz x2 - a2 ...
... face is parallel to the tangent plane at the opposite angular point ; shew that the equation to the surface , taking as oblique axes the three edges of the tetrahedron which meet in one of its angular points , is axy2- by z2 Cz x2 - a2 ...
Σελίδα 33
... this manner , shew that a + b + c = 0 , aa " + bb'2 + cc'2 = 2a'b'c ' + abc . 208. Shew that xyz = c ( x2- y2 ) represents a conoidal sur- face . T. A. G. 3 209. Shew that the condition in order that ax2 + SURFACES IN GENERAL . 33.
... this manner , shew that a + b + c = 0 , aa " + bb'2 + cc'2 = 2a'b'c ' + abc . 208. Shew that xyz = c ( x2- y2 ) represents a conoidal sur- face . T. A. G. 3 209. Shew that the condition in order that ax2 + SURFACES IN GENERAL . 33.
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.