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developable
developable, a. and n. (dɪˈvɛləpəb(ə)l) [f. prec. vb. + -able: in mod.F. développable.] A. adj. a. Capable of being developed or of developing.1835 R. F. Wilson in Newman's Lett. (1891) II. 139 Principles..only developable under one form. 1865 Wilkins Pers. Names Bible 360 It is the nature of symbol... Oxford English Dictionary
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Developable
In mathematics, the term developable may refer to: A developable space in general topology. A developable surface in geometry. A tangent developable surface of a space curve Mathematics disambiguation pages wikipedia.org
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Creating a developable surface from a non-planar curve
2 hours ago — Creating a developable surface from a non-planar curve · Grasshopper GH for Mac · mac, macgrasshopper ... thanks! Screenshot 2024-03-02 at ...
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Developable roller
In geometry, a developable roller is a convex solid whose surface consists of a single continuous, developable face. All developable rollers have ruled surfaces. wikipedia.org
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Show that a developable surface has zero Gaussian curvature. A developable surface is a ruled surface $x(s,t)=\alpha(s)+t\beta(s)$, where $\alpha(s)$ is a unit-speed curve and $|\beta(s)|=1$, such that the tangent pla...
The condition that the tangent spaces are constant in $t$ implies that $x_s(s,t+h)$ is in the tangent space $\operatorname{span}(x_s(s,t),x_t(s,t))$for all $t$ and $h$; so differentiating we see that $x_{st}$ lies in this tangent space too. But then $L_{st} = \langle x_{st} , n \rangle = 0$, so we k...
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Tangent developable
In the mathematical study of the differential geometry of surfaces, a tangent developable is a particular kind of developable surface obtained from a curve Properties The tangent developable is a developable surface; that is, it is a surface with zero Gaussian curvature. wikipedia.org
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what is a nice way to show that developable surfaces must have a principal curvature=0? So a developable surface can be parametrized as $x(s, t)=\alpha(s)+t \beta(s)$ I can see that $\beta(s)$ is the direction of th...
It may _or may not be developable_ depending on tangent vector triple product. It is developable if $ (T, \beta(s),\beta{'}(s)) = 0 $ and skew ( twisted with negative Gauss curvature K) if $(T, \beta(s),\beta{'}(s)) \ne 0. $ $
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Developable mechanism
Developable mechanisms are a special class of mechanisms that can be placed on developable surfaces. Developable mechanism can be embedded within these surfaces. Developable mechanisms are deployable. wikipedia.org
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Does there exist a closed, regular, non-self-intersecting developable surface in $\mathbb{R}^3$? I have had only minimal exposure to differential geometry in my education thus far. I am currently searching for a surfa...
Any (real analytic) developable surface must be (a subset of) a plane, a cylinder, a cone, or a tangent developable (the surface of tangent lines to a Every developable surface must be ruled, and ruled surfaces are never compact.
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Developable surface
which are not developable). Non-developable surface Most smooth surfaces (and most surfaces in general) are not developable surfaces. wikipedia.org
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osculatrix
osculatrix (ɒskjuːˈleɪtrɪks) [mod.L., fem. of *osculātor, agent-n. from osculārī to kiss, osculate.] (See quot.)1864 in Webster. 1866 Brande & Cox Dict. Sci. etc., Developable Osculatrix, the developable surface generated by the tangents of a non-plane curve. Every tangent plane of the surface is an... Oxford English Dictionary
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Development (differential geometry)
In particular, if one of the surfaces is a plane, then the other is called a developable surface: thus a developable surface is one which is locally isometric The cylinder is developable, but the sphere is not. Flat connections Development can be generalized further using flat connections. wikipedia.org
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The Tangent Disc Topology is developable A well-known example of a Moore space is the Tangent Disc Topology. I want to show that the Tangent Disc Topology is a developable space, i.e. it has a development. But I could...
I’ll use the notation in the Wikipedia article on the tangent disk space $X$. For each $n\in\Bbb Z^+$ let $$\mathscr{B}_n=\left\\{U_{1/n}(p,q):\langle p,q\rangle\in\Bbb R\times\left(\frac1n,\to\right)\right\\}\cup\left\\{V_{1/n}(p,0):p\in\Bbb R\right\\}\;;$$ I’ll leave it to you to show that $\\{\ma...
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Development (topology)
A space with a development is called developable. A development such that for all is called a nested development. A theorem from Vickery states that every developable space in fact has a nested development. wikipedia.org
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旧韦斯特伯里 (纽约州)
参考文献 外部连结 NYT: Developers Building for Today's Gatsby NYT: Not Just Another Subdivision for Developable Estates Pictures of Old Westbury's Historic wikipedia.org
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