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2. Symbolab - Wikipedia

   en.wikipedia.org/wiki/Symbolab

   Later, the ability to show all of the steps explaining the calculation were added. [6] The company's emphasis gradually drifted towards focusing on providing step-by-step solutions for mathematical problems at the secondary and post-secondary levels. Symbolab relies on machine learning algorithms for both the search and solution aspects of the ...

3. Ellipse - Wikipedia

   en.wikipedia.org/wiki/Ellipse

   An ellipse (red) obtained as the intersection of a cone with an inclined plane. Ellipse: notations Ellipses: examples with increasing eccentricity. In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

4. Principal axis theorem - Wikipedia

   en.wikipedia.org/wiki/Principal_axis_theorem

   The equation is for an ellipse, since both eigenvalues are positive. (Otherwise, if one were positive and the other negative, it would be a hyperbola.) The principal axes are the lines spanned by the eigenvectors. The minimum and maximum distances to the origin can be read off the equation in diagonal form.

5. Elliptic equation - Wikipedia

   en.wikipedia.org/wiki/Elliptic_equation

   An elliptic equation can mean: The equation of an ellipse; An elliptic curve, describing the relationships between invariants of an ellipse; A differential equation with an elliptic operator; An elliptic partial differential equation

6. Distance of closest approach - Wikipedia

   en.wikipedia.org/wiki/Distance_of_closest_approach

   Constructing a plane containing the line joining the centers of the two ellipsoids, and finding the equations of the ellipses formed by the intersection of this plane and the ellipsoids. Determining the distance of closest approach of the ellipses; that is the distance between the centers of the ellipses when they are in point contact externally.

7. Semi-major and semi-minor axes - Wikipedia

   en.wikipedia.org/wiki/Semi-major_and_semi-minor_axes

   The semi-minor axis of an ellipse runs from the center of the ellipse (a point halfway between and on the line running between the foci) to the edge of the ellipse. The semi-minor axis is half of the minor axis. The minor axis is the longest line segment perpendicular to the major axis that connects two points on the ellipse's edge.

8. Eccentric anomaly - Wikipedia

   en.wikipedia.org/wiki/Eccentric_anomaly

   Consider the ellipse with equation given by: + =, where a is the semi-major axis and b is the semi-minor axis. For a point on the ellipse, P = P(x, y), representing the position of an orbiting body in an elliptical orbit, the eccentric anomaly is the angle E in the

9. Evolute - Wikipedia

   en.wikipedia.org/wiki/Evolute

   From this equation one gets the following properties of the evolute: At points with ′ = the evolute is not regular. That means: at points with maximal or minimal curvature (vertices of the given curve) the evolute has cusps. (See the diagrams of the evolutes of the parabola, the ellipse, the cycloid and the nephroid.)