Lectures related to Analytic Geometry x Hyperbola: Ellipse and Affinity

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Covers the concepts of the hyperbola and ellipse in analytical geometry.

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

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

Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.

Explores equations of circles, tangents, and planes in analytical geometry.

Discusses parametric equations, eccentricity, and ellipse tangents, including horizontal and vertical tangents.

Discusses tangents for circles and ellipses, poles, and duplication rule.

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores Cartesian equations of tangents, vector equations, and rules for doubling and duplication in circles.

Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

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

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Covers the properties and equations of conic sections.

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.