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Related lectures (29)
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Beamlines: Elements of Front Ends and Optics Part 2
Covers basic optics theory, including ellipses, parabolas, magnification, and the Coddington equations.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
Stéréotomie: Modeling Stone Structures
Covers the modeling of stone structures, collaborative work, and systematic document management for student projects.
Law of Gravitation
MOOC: Material Point Mechanics
Covers planetary trajectories, Kepler's laws, and the 'universal' law of gravitation.
Elliptical Trajectories: Epicyclic System & Instruments
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Explores elliptical trajectories in the Copernican system and the instruments used to trace them.
Conic Sections: Ellipse, Parabola, Hyperbola
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Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Introduction to Conic Sections in Space
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Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Elliptical Arch Construction
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Explores the construction of elliptical arches using a single ellipse arc.
Conics in the Plane: Uniform Description of 3 Conics
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Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Analytical Geometry: Conic Sections
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Covers the properties and equations of conic sections.
Analytic Geometry x Hyperbola: Ellipse and Affinity
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Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.
Homogeneous Coordinates and Curves
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Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
Homogeneous Coordinates and Conics
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Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Ellipse: Astronomical Evolution to Mathematical Formulation
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Explores the transition from geocentric to heliocentric models and the mathematical principles behind elliptical trajectories.
Affinity and Ellipses in Descriptive Geometry
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Explores affinity in geometry, segment construction, ellipses, and circle projections.
Ellipse and Circle: Geometric Analysis
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Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Approximation of Ellipses by Ovals
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Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Geometric Properties of Conics: Ellipses and Their Applications
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Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.
Geometry of Hyperbolas and Ellipses
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Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.
Analytical Geometry: Hyperbola and Ellipse
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Covers the concepts of the hyperbola and ellipse in analytical geometry.
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