Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 5
... distances of the points respectively from the origin . 35. Express the equations to the line a ̧x + b1y + c1z = a2x + by + c2z = α ̧x + by + c ̧2 in the form x y 2 = - m n 36. Shew that the equations 203 +1 y3 + 1 23 + 1 - 1 x + 1 3 + 1 ...
... distances of the points respectively from the origin . 35. Express the equations to the line a ̧x + b1y + c1z = a2x + by + c2z = α ̧x + by + c ̧2 in the form x y 2 = - m n 36. Shew that the equations 203 +1 y3 + 1 23 + 1 - 1 x + 1 3 + 1 ...
Σελίδα 6
... distance between two given straight lines . 39. Find the equation to a plane which passes through two given points and is perpendicular to a given plane . 40. There are n planes of which no two are parallel to each other , no three are ...
... distance between two given straight lines . 39. Find the equation to a plane which passes through two given points and is perpendicular to a given plane . 40. There are n planes of which no two are parallel to each other , no three are ...
Σελίδα 11
... distance from a fixed point is always in a given ratio to its distance from a fixed line is a surface of revolution of the second degree . 78. Two systems of rectangular axes have the same origin ; if a plane , or an ellipsoid whose ...
... distance from a fixed point is always in a given ratio to its distance from a fixed line is a surface of revolution of the second degree . 78. Two systems of rectangular axes have the same origin ; if a plane , or an ellipsoid whose ...
Σελίδα 13
... are at right angles to each other , lie in a plane parallel to the plane of ( x , y ) and at a distance from it equal to b2 - a2 с 92. Determine the condition necessary in order that the plane SURFACES OF THE SECOND ORDER . 13.
... are at right angles to each other , lie in a plane parallel to the plane of ( x , y ) and at a distance from it equal to b2 - a2 с 92. Determine the condition necessary in order that the plane SURFACES OF THE SECOND ORDER . 13.
Σελίδα 16
... distance h from the centre , S ' that of the parallel section through the centre , and p the perpendicular from the centre on the parallel tangent plane , shew that S ' S = 5 ( 1-3 ) . 106. Tangent planes are drawn to an ellipsoid from ...
... distance h from the centre , S ' that of the parallel section through the centre , and p the perpendicular from the centre on the parallel tangent plane , shew that S ' S = 5 ( 1-3 ) . 106. Tangent planes are drawn to an ellipsoid from ...
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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.