The circle–ellipse problem in software development (sometimes called the square–rectangle problem) illustrates several pitfalls which can arise when using...
21 KB (2,966 words) - 01:41, 16 July 2023
touches the circle, or for an ellipse that is tangent to the circle and has the given points as its foci. Although special cases of this problem were studied...
34 KB (3,723 words) - 06:06, 16 June 2025
It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. The elongation of an ellipse is measured by its...
90 KB (16,568 words) - 02:58, 12 June 2025
great ellipse can be found using the value of γ 0 {\displaystyle \gamma _{0}} . Also determined as part of the solution of the great circle problem are...
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behavioral subtyping in most if not all contexts. For example, the circle-ellipse problem is notoriously difficult to handle using OOP's concept of inheritance...
67 KB (7,159 words) - 22:41, 26 May 2025
be coded to preserve area or aspect ratio when height changes. Circle–ellipse problem Composition over inheritance Program refinement Referential transparency...
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arbitrary ellipse from the area of a unit circle. Consider the unit circle circumscribed by a square of side length 2. The transformation sends the circle to...
37 KB (5,897 words) - 15:21, 1 June 2025
1-ellipse is the circle, and the 2-ellipse is the classic ellipse. Both are algebraic curves of degree 2. For any number n of foci, the n-ellipse is...
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lines, circles, ellipses and Bézier curves". easy.Filter. Alois Zingl. Retrieved 16 February 2017. Drawing circles - An article on drawing circles, that...
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section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it was sometimes considered a fourth type...
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entity at runtime. Archetype pattern – Software design pattern Circle–ellipse problem Defeasible reasoning – Reasoning that is rationally compelling,...
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allows one to add, redefine and remove methods at runtime. The Circle-Ellipse Problem is readily solved in CLOS, and most OOP design patterns either disappear...
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stretched into ellipses. By measuring the longest part of the ellipse (called the “major strain”) and the shortest part of the ellipse (called the “minor...
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Focus (geometry) (redirect from Directrix circle)
be used in defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define...
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fixed points (foci) is a constant. An ellipse is the case in which the weights are equal. A circle is an ellipse with an eccentricity of zero, meaning...
46 KB (6,352 words) - 00:53, 15 April 2025
page on the topic of: Subtypes Covariance and contravariance The circle-ellipse problem (for the perils of subtyping variable-types on the same basis as...
28 KB (4,046 words) - 11:15, 26 May 2025
Apollonian circle is the basis of the Apollonius pursuit problem. It is a particular case of the first family described in #2. The Apollonian circles are two...
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Curve fitting (redirect from Ellipse fitting)
problem of trying to find the best visual fit of circle to a set of 2D data points. The method elegantly transforms the ordinarily non-linear problem...
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Superellipse (redirect from Super Ellipse)
known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis...
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super Circle–ellipse problem Circular dependency Constant interface God object Object cesspool Object orgy Poltergeist Sequential coupling Yo-yo problem Accidental...
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Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga...
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{\displaystyle C_{1}'} and an ellipse E 2 ′ {\displaystyle E_{2}'} , whose centers are joined by the vector d ′ {\displaystyle d'} . The circle C 1 ′ {\displaystyle...
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circular. In particular: The eccentricity of a circle is 0. The eccentricity of a non-circular ellipse is between 0 and 1. The eccentricity of a parabola...
11 KB (1,373 words) - 05:16, 22 March 2025
pair? The Gauss circle problem: how far can the number of integer points in a circle centered at the origin be from the area of the circle? Grimm's conjecture:...
195 KB (20,069 words) - 07:07, 11 June 2025
Semi-major and semi-minor axes (section Ellipse)
case of a circle, the lengths of the semi-axes are both equal to the radius of the circle. The length of the semi-major axis a of an ellipse is related...
18 KB (2,374 words) - 17:29, 13 March 2025
origin; e = 0 {\displaystyle e=0} corresponds to a circle, e < 1 {\displaystyle e<1} corresponds to an ellipse, e = 1 {\displaystyle e=1} corresponds to a parabola...
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the Mercator chart for navigation. Compass rose Great circle Great-circle distance Great ellipse Geodesics on an ellipsoid Geographical distance Isoazimuthal...
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Kepler's laws of planetary motion (redirect from Kepler ellipse)
planets as follows:: 53–54 The planetary orbit is not a circle with epicycles, but an ellipse. The Sun is not at the center but at a focal point of the...
60 KB (8,838 words) - 00:40, 10 June 2025
Line segment (section Circles and ellipses)
a circle or ellipse is called a chord. Any chord in a circle which has no longer chord is called a diameter, and any segment connecting the circle's center...
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line or line segment for the midpoints is called the diameter. For a circle, ellipse or hyperbola the diameter goes through its center. For a parabola the...
2 KB (198 words) - 03:07, 5 March 2025