Analytical Geometry: Conic Sections

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Elliptical Trajectories: Epicyclic System & Instruments

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.

Sphere, Cone, and Cylinder: Descriptive Geometry

Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.

Homogeneous Coordinates and Curves

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

Geometry of Hyperbolas and Ellipses

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Hyperboloid Surfaces: Sections and Developability

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Conic Sections: Parabola

Explores the properties and equations of the parabola, including its locus and key parameters.

Analytic Geometry x Hyperbola: Ellipse and Affinity

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.