Concept

Circumference

Related lectures (19)

Integral Applications: Arc Length

Explores finding circle circumference and parametric curve arc length using integration and derivatives.

Stéréotomie: Modeling Stone Structures

Covers the modeling of stone structures, collaborative work, and systematic document management for student projects.

Arc Length: Circle Circumference and Parametric Curves

Covers circle circumference calculation and parametric curve arc length determination.

Triangle Relations: Sinus Theorem

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

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Elliptical Curves: Construction and Variants

Explores the construction and variants of elliptical curves, including historical stonecutting methods and architectural considerations.

Magnetic Fields and Currents

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

Timber Plate Structural Design

Covers the CAD-to-CAE data transformation process for advanced timber plate structural design.

Triangle Resolution: Trigonometry Basics

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

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Conicity in Modeling

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

Effective Field Theory: Testing Weak Interactions

Explores effective field theory for testing weak interactions and parity violation through forward-backward asymmetry.

Dynamics around an Axis: Moments and Inertia

Covers the calculation of moments of forces around an axis and the determination of principal axes of inertia.

Surfaces with Constant Curvature

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

Ellipses and Conics

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Quadrature & Rectification

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

Magnetic Materials: Introduction

Covers the fundamentals of magnetic materials, including H-fields and demagnetization factors.

Conic Sections: Ellipse, Parabola, Hyperbola

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Homogeneous Coordinates and Curves

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