Nine-point circle

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Page 3 of 4

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

Explores equations of circles, tangents, and planes in analytical geometry.

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.

Explores optimization problems to find global extrema of functions over domains.

Covers the basics of creating and using functions in Matlab.