Analytical Geometry: Equations of Planes in Space

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Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Explores Cartesian equations of planes in space and their applications to metric problems.

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Presents examples of relative positions in space and solving problems with parametric equations.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

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

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

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers the precise description of the relative positioning of objects in space.