Lectures related to Area of a circle

Bounding the Poisson bracket invariant on surfaces

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Triangle Relations: Sinus Theorem

Explores triangle relationships, including the Sinus Theorem and circumscribed circles.

Elementary Operations in Geometry

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Thematic attributes and classification

Covers the creation of thematic maps and the class setting in statistical thematic mapping.

Magnetic Fields and Currents

Explores magnetic fields, currents, Biot-Savart law, Ampère's law, and magnetic dipoles.

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Change of Variables Theorem

Explores the change of variables formula in higher dimensions and its application through an example.

Surfaces with Constant Curvature

Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Triangle Resolution: Trigonometry Basics

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Conicity in Modeling

Explores conicity in modeling, addressing challenges at corners and simplifying geometry through the imposition of conicity at vertices.

Arc Length: Circle Circumference and Parametric Curves

Covers circle circumference calculation and parametric curve arc length determination.

Quadrature & Trisection in Geometry

Explores the historical methods of quadrature and trisection in geometry, including their applications in architecture.

Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Diffusion-Convection: Modeling and Schemes

Covers modeling and numerical schemes for diffusion-convection problems.

Polar Coordinates: Jacobian Matrix and Examples

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

Acoustic Simulation: Pulsating Sphere

Covers the simulation of acoustic waves in fluids using the Pressure Acoustics, Frequency Domain interface in COMSOL Multiphysics.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Calculating Volumes of Solids: Integration Techniques

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

Free Piston Simulation

Demonstrates the simulation of a free piston system using COMSOL Multiphysics software.