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{{short description|Plane curve unique to a given triangle}} ...d with it. It is the third cubic curve in Bernard Gilbert's [[Catalogue of Triangle Cubics]] and it is assigned the identification number K003.<ref name="K003" ...

...of curves that start at the point. It generalizes the [[tangent space]] in a [[differentiable manifold]]. ...'d'') be a [[metric space]]. First we define the '''upper angle''' for two curves starting at the same point in ''M''. So let ...

{{Short description|Square whose vertices lie on a triangle}} {{Use list-defined references|date=January 2025}} ...

...|An assembly of curves that branch out from a root to reach every point in a space}} ..., 25-30 Sept. 2011</ref> The simplest examples of space-filling trees have a regular, self-similar, [[fractal]] structure, but can be generalized to non ...

{{Short description|Conic curves associated with a triangle}} ...a [[parabola]], called the '''Kiepert parabola'''. The Kiepert conics are defined as follows: ...

{{short description|Hyperbola constructed from a given triangle and point}} {{legend|blue|Points of triangle {{math|△''ABC''}} and given point {{mvar|P}}}} ...

...ics)|immersed]] [[plane curve]] is the [[integral]] of [[curvature]] along a curve taken with respect to [[arc length]]: ...t velocity vector at that point. This map is similar to the [[Gauss map]] for surfaces. ...

...spect to the line <math>\theta=\pi/2.</math> As a function, {{mvar|r}} has a period of {{math|2π}}. The inner and outer loops of the curve intersect at ...n]], and [[Tschirnhausen cubic]]. The limaçon trisectrix a special case of a [[sectrix of Maclaurin]]. ...

{{Short description|Circumellipse of a triangle whose center is the triangle's centroid}} ...edians]], each [[bisection|bisecting]] a side. The medians coincide at the triangle's [[centroid]], which is also the center of the Steiner ellipse.]] ...

{{short description|Plane curve associated with any triangle}} ...ics]] which is a compilation of extensive information about more than 1200 triangle cubics. ...

{{distinguish|Schwartz function|Schwarz triangle function}} The '''Schwarz function''' of a curve in the [[complex plane]] is an [[complex analytic function|analytic f ...

{{short description|Unique ellipse tangent to all 3 midpoints of a given triangle's sides}} The Steiner inellipse. According to [[Marden's theorem]], given the triangle with vertices {{math|(1, 7), (7, 5), (3, 1)}}, the [[Focus (geometry)|foci] ...

{{short description|Conic plane curve associated with a given triangle}} ...o [[extended side|sidelines]] of the reference triangle at vertices of the triangle. ...

{{short description|Plane geometry theorem on least area of all curves of given constant width}} [[File:Reuleaux supporting lines.svg|thumb|A [[Reuleaux triangle]], a [[curve of constant width]] whose area is minimum among all convex sets wit ...

...ructed starting from an [[n-gon|''n''-gon]]. This ''n''-gon is replaced by a flake of smaller ''n''-gons, such that the scaled polygons are placed at th ...types &ndash; depending on the ''n''-gon &ndash; and infinitely many Koch curves are contained within. The fractals occupy zero area yet have an infinite pe ...

...from a minimum of 0 for the points on the horizontal and vertical axes to a maximum at the four diagonal points on the unit circle.]] ...icloidalRadioGeneratriz y Directriz.png|thumb|A [[hypocycloid]] that forms a self-crossing hedgehog]] ...

...tric]] defined on the ideal boundary of an [[Hadamard space]] (also called a [[complete metric space|complete]] [[CAT(0) space]]). It is named after [[J ...b>2</sub> : [0, ∞] → ''X'' are called '''asymptotic''' if they stay within a certain distance when traveling, i.e. ...

| pdf_caption=Example density curves for the PERT probability distribution | cdf_caption=Example cumulative distribution curves for the PERT probability distribution ...

{{Use list-defined references|date=October 2020}} ...constant width|width]] for their diameter, and the largest possible width for their perimeter. They are named after [[Karl Reinhardt (mathematician)|Karl ...

{{Short description|Great circle with a characteristic length}} {{Use list-defined references|date=June 2024}} ...