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Aug 10, 2024 · A conoid is a ruled surface whose rulings are parallel to a plane (called the directrix plane) and intersect a fixed line (called the axis of the conoid) (Gellert et al. 1989, p. 202).
A conoid is a ruled surface the generatrices of which stay parallel to a plan (P), called directrix plane of the conoid, while intersecting a line (D), called axis of the conoid; it is therefore a Catalan surface.
In geometry a conoid (from Greek κωνος 'cone' and - ειδης 'similar') is a ruled surface, whose rulings (lines) fulfill the additional conditions: (1) All rulings are parallel to a plane, the directrix plane. (2) All rulings intersect a fixed line, the axis.
Aug 10, 2024 · Right Conoid. A ruled surface is called a right conoid if it can be generated by moving a straight line intersecting a fixed straight line such that the lines are always perpendicular (Kreyszig 1991, p. 87). Taking the perpendicular plane as the -plane and the line to be the x -axis gives the parametric equations.
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When sides [OA] and [OB] are put together, we form a cone. a) Find the value of l. b) Find the circumference of the base of the cone. c) Use b to find r. d) Find the area of the base of the cone. e) Find the area of the curved surface of the cone. f) Find the total surface area of the cone. Solution :
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Feb 13, 2022 · The regular form of a conic is: \(A x^{2}+B x y+C y^{2}+D x+E y+F=0\) Before you start manipulating the general form of a conic equation you should be able to recognize whether it is a circle, ellipse, parabola or hyperbola. In standard form, the two coefficients to examine are \(A\) and \(C\).
