Matrix representation of conic sections

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Ellipses and Conics

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

Construction of Ovals: From Roman Amphitheatres to Modern Architecture

Explores the historical construction methods of ovals, from Roman amphitheatres to modern architecture, including the use of symmetrical double tangency.

Gothic Surfaces: Curvature, Development, and Stereotomy

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Elementary Study of Conics

Explores the elementary study of conics, defining circles, ellipses, and lines in the plane with geometric strokes and variable elements.

Conic Sections & Gnomonics

Explores the historical use of conic sections and gnomonics in ancient sundials and astronomical instruments.

Conic Sections: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

Elliptical Geometry: Arcs and Conic Sections

Explores elliptical geometry, focusing on arcs, conic sections, and historical contributions to geometric projective techniques.

Descriptive Geometry: Cones and Cylinders

Explores proper shadows, cast shadows, section planes, and conic sections.

Conic Sections: Ellipse, Hyperbola, Parabola

Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.