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Lecture
Analytical Geometry: Cartesian Equations of Planes
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Analytical Geometry: Equations of Planes in Space
Explains the geometric definition of planes in space and how to determine their equations.
Analytical Study of Lines in the Plane
Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Geometric Transformations: Meanings and Applications
Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
Analytical Study of Space
Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.
Analytical Geometry: Normal Equations of Lines
Explores normal equations of lines in the plane through point translation for precision.
Analytical Geometry: Vector Equations of Lines
Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.
Analytical Geometry: Intersections and Medians
Covers Analytical Geometry, focusing on intersections and medians, providing step-by-step solutions for various cases.
Analytical Geometry: Coordinates and Midpoints
Covers coordinates, midpoints, and abscissa in analytical geometry, providing practical problem-solving examples.
Analytical Geometry: Relative Positions in Space
Explores relative positions of lines in space, discussing parallel, secant, and confused lines.