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Related lectures (29)
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Elliptical Trajectories: Epicyclic System & Instruments
Explores elliptical trajectories in the Copernican system and the instruments used to trace them.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Introduction to Conic Sections in Space
Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Elliptical Arch Construction
Explores the construction of elliptical arches using a single ellipse arc.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Analytical Geometry: Conic Sections
Covers the properties and equations of conic sections.
Beamlines: Elements of Front Ends and Optics Part 2
Covers basic optics theory, including ellipses, parabolas, magnification, and the Coddington equations.
Analytic Geometry x Hyperbola: Ellipse and Affinity
Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.
Homogeneous Coordinates and Curves
Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Ellipse: Astronomical Evolution to Mathematical Formulation
Explores the transition from geocentric to heliocentric models and the mathematical principles behind elliptical trajectories.
Affinity and Ellipses in Descriptive Geometry
Explores affinity in geometry, segment construction, ellipses, and circle projections.
Ellipse and Circle: Geometric Analysis
Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Geometric Properties of Conics: Ellipses and Their Applications
Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.
Geometry of Hyperbolas and Ellipses
Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Conic Sections: Ellipse and Hyperbola
Explores properties of conic sections, center, equations, and coordinate transformations.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
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