Gnomonics: Measurement of Shadows and Solar Time

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Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.

Explores the transition from epicyclic curves to Kepler's ellipses and the Copernican revolution in astronomy.

Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.

Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.

Covers advanced physics topics such as reference frames, dynamics of the Earth, and the Foucault pendulum.

Compares the geocentric and heliocentric models of the universe proposed by Ptolemy and Copernicus.

Explores gyroscopic effects, conservation of moment, and dynamics of solid bodies, including inertia tensors and angular momentum.

Explains various coordinate systems used in space missions and the precession of equinoxes.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.