Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.
Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Discusses the geometry of least squares, exploring row and column perspectives, hyperplanes, projections, residuals, and unique vectors.
