Green's Theorem in 2D: Applications

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Symmetries in Plane Geometry

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Stokes Theorem

Covers the Stokes theorem, extending the Green theorem to surfaces in R3 and explaining its application.

Distance Between Two Lines

Covers the concept of finding the distance between two lines in a plane.

Barycenters: Examples

Covers examples of barycenters and expressing points as barycenters of given points.

Calculus Applications: Lengths and Surfaces of Revolution

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.

Main Lines of a Plane: Sketch and Properties

Covers defining a plane by its traces and determining its properties.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.

Ellipses and Curves in Geometry

Explores ellipses, curves, and their applications in astronomy and mathematics.

Intermediate Values Theorem

Explores the Intermediate Values Theorem for continuous functions on closed intervals.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.