Analytical Geometry: Circles and Tangents

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

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

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.

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

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

Covers the analytical expression of the mixed product and its applications.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explains the cross product in analytical geometry and vector orientation.

Explores equations and properties of circles in the complex plane.

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