Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 12
... radius whose centre moves in one of its prin- cipal planes ; find the 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 ...
... radius whose centre moves in one of its prin- cipal planes ; find the 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 ...
Σελίδα 15
... radius vector of the ellipsoid x2 , y2 , z2 + + = a2 + b2 + c2 1 , whose centre is C is taken a point P such that πkCP is the area of the section of the ellipsoid made by the plane through C perpendicular to CP , where k is a line of ...
... radius vector of the ellipsoid x2 , y2 , z2 + + = a2 + b2 + c2 1 , whose centre is C is taken a point P such that πkCP is the area of the section of the ellipsoid made by the plane through C perpendicular to CP , where k is a line of ...
Σελίδα 19
... radius vector at that point . 134. If four similar and similarly situated surfaces of the second order intersect each other , the planes of their inter- sections two and two all pass through one point . 135. If three chords be drawn ...
... radius vector at that point . 134. If four similar and similarly situated surfaces of the second order intersect each other , the planes of their inter- sections two and two all pass through one point . 135. If three chords be drawn ...
Σελίδα 26
... radius of the circular shadow is inde- pendent of the mean axis of the ellipsoid . 176. Of a series of cones enveloping an ellipsoid , the vertices lie on a concentric ellipsoid , similar to the given one and similarly situated . Prove ...
... radius of the circular shadow is inde- pendent of the mean axis of the ellipsoid . 176. Of a series of cones enveloping an ellipsoid , the vertices lie on a concentric ellipsoid , similar to the given one and similarly situated . Prove ...
Σελίδα 35
... radius r are described passing through the origin ; find the envelope of the planes of contact of tangent cones having a fixed vertex at the point ( a , b , c ) . 219. Find the locus of the ultimate intersections of a series of planes ...
... radius r are described passing through the origin ; find the envelope of the planes of contact of tangent cones having a fixed vertex at the point ( a , b , c ) . 219. Find the locus of the ultimate intersections of a series of planes ...
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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.