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Lecture
Analytical Geometry: Bisectors and Areas
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Analytical Geometry: Cartesian Equations
Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.
Analytical Geometry: Rotation and Center
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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
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Analytical Geometry: Oriented Angles
Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.
Analytical Geometry: Normal Equations of Lines
Explores normal equations of lines in the plane through point translation for precision.
Analytical Geometry: Cartesian Equations
Explores Cartesian equations for lines in a plane and their parametric descriptions.
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Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Orthogonal Projections: Symmetry and Matrices
Explores orthogonal projections, symmetry of matrices, and their applications.
Analytical Geometry: Triangle Properties
Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.