The circle–ellipse problem in software development (sometimes called the square–rectangle problem) illustrates several pitfalls which can arise when using...

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...

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...

immutable point, whereas Liskov substitution principle forbids this. Circle–ellipse problem Composition over inheritance Program refinement Referential transparency...

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...

principal limitations of OOP have been noted. For example, the circle-ellipse problem is difficult to handle using OOP's concept of inheritance. However...

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...

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...

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...

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...

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...

to define variations of an entity at runtime. Archetype pattern Circle–ellipse problem Defeasible reasoning – Reasoning that is rationally compelling,...

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...

distance. For an ellipse, the standard terminology is different. A diameter of an ellipse is any chord passing through the centre of the ellipse. For example...

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...

convex curve like an ellipse, and even unclosed curves, has been formulated. The question about the grazable area outside a circle is considered. This...

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...

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...

section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it was sometimes called as a fourth type...

example using Newton iteration. Intersection problems between a line and a conic section (circle, ellipse, parabola, etc.) or a quadric (sphere, cylinder...

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...

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? Grand Riemann...

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...

elliptical orbits. The ratio of sizes of these ellipses is m/M, with the larger mass moving on a smaller ellipse. If M is much larger than m, then the larger...

section paths Figure of the Earth Geographical distance Great-circle navigation Great ellipse Geodesic Geodesy Map projection Map projection of the triaxial...

tangency: internal and external. Many problems and constructions in geometry are related to tangent circles; such problems often have real-life applications...

the problem of approximately finding the eigenvalues is shown to be easy in that case. But notice what happens to the semi-axes of the ellipses. An iteration...

features to an appropriate set of lines, circles or ellipses. The purpose of the Hough transform is to address this problem by making it possible to perform groupings...

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...

focus. The two conics will be in the same plane. The type of conic (circle, ellipse, parabola or hyperbola) is determined by finding the sum of the combined...