Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα
... Third Edition . Crown 8vo . 78. 6d . 4. A Treatise on the Theory of Equations . With a Collection of Examples . Crown 8vo . 78. 6d . 5. Plane Trigonometry for Colleges and Schools . With numerous Examples . Second Edition . Crown 8vo ...
... Third Edition . Crown 8vo . 78. 6d . 4. A Treatise on the Theory of Equations . With a Collection of Examples . Crown 8vo . 78. 6d . 5. Plane Trigonometry for Colleges and Schools . With numerous Examples . Second Edition . Crown 8vo ...
Σελίδα 4
... third axis ? 2 28. Interpret a2 = y2 = 22 . 29. Find the condition that must hold in order that the equations x = cy + bz , y = az + cx , z = bx + ay may represent a straight line ; and shew that the equations to the line then are х y ...
... third axis ? 2 28. Interpret a2 = y2 = 22 . 29. Find the condition that must hold in order that the equations x = cy + bz , y = az + cx , z = bx + ay may represent a straight line ; and shew that the equations to the line then are х y ...
Σελίδα 6
... third ; prove that in general the planes thus drawn pass through the same line . 45. The equations to a line are a - cy + bz B ― az + cx α b y - bx + ay = C express them in the ordinary symmetrical form . 46. Find the condition that ...
... third ; prove that in general the planes thus drawn pass through the same line . 45. The equations to a line are a - cy + bz B ― az + cx α b y - bx + ay = C express them in the ordinary symmetrical form . 46. Find the condition that ...
Σελίδα 20
... third ellipsoid similar to either of the former , its centre being on the surface of B , and axes parallel to those of A or B ; shew that the plane of intersection of A and C is parallel to the tangent plane to B at the centre of C. 138 ...
... third ellipsoid similar to either of the former , its centre being on the surface of B , and axes parallel to those of A or B ; shew that the plane of intersection of A and C is parallel to the tangent plane to B at the centre of C. 138 ...
Σελίδα 26
... third ellipsoid concentric with the other two and similarly situated , and whose axes are respec- tively as the squares of theirs , these two planes are at right angles to one another . 178. A cylinder is circumscribed about an ...
... third ellipsoid concentric with the other two and similarly situated , and whose axes are respec- tively as the squares of theirs , these two planes are at right angles to one another . 178. A cylinder is circumscribed about an ...
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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.