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{{short description|Triangle with circular arc edges}} [[File:Circular_triangles_convex_concave.png|thumb|upright=1.35|Circular triangles with a mixture of convex and concave edges]] ...

...t line segments. In other words, the shortest path will be made by joining circular arcs of maximum curvature and straight lines. | title=An application of the maximum principle to the geometry of plane curves ...

...A point z attached rigidly to the n-gon traces out an arch consisting of n circular arcs before repeating the pattern periodically. This curve is called a '''t [[Category:Piecewise-circular curves]] ...

...l Geometry]]|mr=3392976|pages=728–740|title=Positive center sets of convex curves|volume=54|year=2015}}</ref> [[Category:Piecewise-circular curves]] ...

...'f''(''z'') can be defined on ''X'' by fixing a point ''w'' and taking any piecewise smooth path ''δ'' from ''w'' to ''z'' and set ''f''(''z'') = ∫_δ ...'''R'''² with opposite sides identified; the transverse Jordan curves γ and δ correspond to the ''x'' and ''y'' axes. Let ω = ''a''(''x'') ''dx'' ...

...ntrol mesh is made by the so-called control points and it is obtained by a piecewise [[linear interpolation]] of them. Control points play also the role of [[de B-splines can be derived recursively from a piecewise constant function with <math>p = 0</math>:<ref name="cottrell" /> ...

[[Plateau's laws]] state that any minimum area piecewise-smooth shape that encloses any volume or set of volumes must take a form co ...]] of a system of curves that enclose two given areas is formed by three [[circular arc]]s, with the same relation between their radii, meeting at the same ang ...

...lighter color) are flowed versions of the outer curves. Time steps between curves are not uniform.]] ...tric heat flow" has also been used for flows on other kinds of object than curves, such as [[differential form]]s.</ref> and '''arc length evolution'''. ...

...}}{k^2 r_{2}^{2}}</math>. <br />It is important to note that all described curves are found by rolling a conic section without slip along ''z'' axis. The und ...ave bridge and negative '-', oblate. For the convex capillary bridges, the circular generatrix is retained until the boundary of definition domain is reached w ...

...anes, and fit a surface numerically to a large number of such intersection curves. Let us denote the unit normal of a 2D plane <math>\Pi</math> by <math>n_\P ...LCSs (see below), which are also shearless LCSs but prevail as stationary curves to the shear functional even under arbitrary variations. As a consequence, ...

.../ref><ref>{{citation|first=Jeffrey|last=Nunemacher|title=Asymptotes, Cubic Curves, and the Projective Plane|journal=Mathematics Magazine|volume=72|issue=3|ye ...points required for a detailed plot. It is an application of the theory of curves to find their main features. Here input is an equation. ...