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generatrix

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generatrix
generatrix (dʒɛnəˈreɪtrɪks) [a. L. generātrix, fem. agent-n. f. generāre: see generate v.] † 1. She that generates or produces; a female parent. (Only fig.) Obs.1657 Pinnell tr. Paracelsus' Philos. ii. 32 The element of fire is the generatrix of the Stars, Planets, and the whole Firmament. 1794 Sull... Oxford English Dictionary
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Generatrix
The path directing the motion of the generatrix motion is called a directrix or dirigent. The generatrix of a cylinder, a limiting case of a cone, is a line that is kept parallel to some axis. wikipedia.org
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regeneratrix
reˈgeneratrix [See regenerator and generatrix.] A female regenerator.1871 M. Collins Mrq. & Merch. II. v. 125 Miss Pinnock regarded herself as fit to be the regeneratrix of the world. 1890 Pall Mall G. 8 Nov. 2/1 Ireland..should..aim at becoming a great spiritual force, and the regeneratrix, in the ... Oxford English Dictionary
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Directrix
In mathematics, a directrix is a curve associated with a process generating a geometric object, such as: Directrix (conic section) Directrix (generatrix wikipedia.org
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generant
generant, n. and a. (ˈdʒɛnərənt) [a. L. generant-em, pr. pple. of generāre to generate; cf. OF. generant.] A. n. That which generates or produces; a begetter, parent. † Also, a second cause (obs.).1665 Glanvill Scepsis Sci. iv. 14 Some believe It [the Soul] came from the Moon..some that 'tis made by... Oxford English Dictionary
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Balanophyllia
Pourtalès, 1868 Balanophyllia galapagensis Vaughan, 1907 Balanophyllia gemma (Moseley, 1881) Balanophyllia gemmifera Klunzinger, 1879 Balanophyllia generatrix wikipedia.org
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Prove that a cylinder have a infinite number of planes of symmetry. My definition of cylinder is: > A cylinder is the _surface_ formed by **parallel lines** , where each line contains a point of a curve called **guid...
Yes, I believe you're correct. A priori, the guideline curve may not be planar, but by shifting continuously along the generatrices, you may assume the guideline curve lies in a plane orthogonal to the generatrices. Then reflection across that plane or any plane parallel to it will preserve the cyli...
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Mylar balloon (geometry)
Definition The positive portion of the generatrix of the balloon is the function z(x) where for a given generatrix length a: (i.e.: the generatrix Volume The volume of the balloon is given by: where a is the arc length of the generatrix). wikipedia.org
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Terry Rosenberg
Generatrix, Terry Rosenberg, Omaha, Neb. : UNO Editions (1995). wikipedia.org
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Find the equation of the line that passes through a point and is contained on a cylinder I need to find the vector equation of the line that passes through the point (5,0,5) and is contained on the elliptic cylinder g...
The point $(5,0,5)$ lies on the elliptic cylinder. $\mathbf{r}(t)=(5,0,0)+t(0,0,1)$ is a line which lies on the elliptic cylinder and passes through this point.
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Right circular cylinder
Thus, in a right circular cylinder, the generatrix and the height have the same measurements. In the case of the right circular cylinder, the meridian section is a rectangle, because the generatrix is perpendicular to the base. wikipedia.org
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describent
describent, a. and n. (dɪˈskraɪbənt) [ad. L. dēscrībentem, pr. pple. of dēscrībĕre to describe.] A. adj. ‘Describing, marking out by its motion’ (Ash 1775). B. n. Geom. A point, line, or surface, producing by its motion a line, surface, or solid; a generatrix.1704 in J. Harris Lex. Techn. Oxford English Dictionary
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سطح درجة ثانية
الدرجة الثانية (quadric) في وضع عام (generic position)، من الضروري تحديد ثلاثة عناصر: المحور الرئيسي (principal axis) ، ومقطع قائم (right section) وراسم (generatrix مثلا المحور الرئيسي لسطح ثنائي دائري (Circular quadric) ، يتطابق مع محور المخروطية الراسمة (conic generatrix)، ويمر بمركز دائرة دالة (a Circular Directrix wikipedia.org
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Surface of revolution
not intersecting the generatrix, except at its endpoints). Any meridional section can be considered to be the generatrix in the plane determined by it and the axis. wikipedia.org
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What's is the equation of sinusoidal function on cylinder perimeter How can I determine the equation of a sinusoidal function that instead of proceeding on a horizontal line, proceeds along the perimeter of a cylinder...
one turn around the cylinder); \- $\alpha$ is the phase (in rad) of the sinusoid; \- $\theta$ is the parameter, which is the angle (in rad) of the generatrix
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