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Lecture
Geometry: Passage to Space
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Related lectures (52)
Geometry: Ellipse and Hyperbola
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Explores the properties of ellipses, hyperbolas, circles, and products in geometry.
Conical Sections: Apollonius
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Explores conical sections according to Apollonius, focusing on visual cones and unique shapes.
Surfaces in Geometry II
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Explores geometric surfaces, rules between shapes, and architectural applications.
Geometric Modeling for Architects: Ellipses and Structures
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Covers the geometric modeling of ellipses and their applications in architecture.
Geometry of Hyperbolas and Ellipses
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Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.
Regular Polyhedra: Definitions and Symmetries
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Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
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.
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.
Elliptical Geometry: Arcs and Conic Sections
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Explores elliptical geometry, focusing on arcs, conic sections, and historical contributions to geometric projective techniques.
Quantum and Nanocomputing
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Covers quantum wire analysis, transmission function, and tunneling in dots.
Geometry: Euclidean Elements & Vitruvius
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Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Stereographic Projection: Sphere Parameterization
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Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.
Buckling of Shells: Theory and Experiments
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Explores the theory and experiments on the buckling of shells, covering Reissner's solution, pressure buckling, and the influence of material properties.
Dynamics of Mechanical Systems
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Covers the concept of geometry and stress, inertia constraints, useful efforts, prestress, and the dynamics of mechanical systems.
Parametric Curves: Analysis and Applications
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Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.
Vectors: Definitions and Operations
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Introduces vector definitions, displacement, addition, and applications in geometry.
Descriptive Geometry: The Sphere
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Covers the definitions and properties of a sphere, including its projections and apparent contours.
Analytical Geometry: Conic Sections
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Covers the properties and equations of conic sections.
Conic Sections: Planar Curves
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Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.
Kirchhoff Rods: Kinematics and Twisted Solutions
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Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.
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