Lecture

Elementary Operations in Geometry

Related lectures (22)

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Angle at the Center & Power of a Point

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Elementary Operations in Geometry

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Mediatrix and Bisector

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Homotheties and Translations

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Trigonometric Functions

Covers the concept of trigonometric functions and their applications in geometry.

Curvature and Osculating Circle

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

Triangle Resolution: Trigonometry Basics

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Angle Inscribed Theorem

Covers the inscribed angle theorem, intercepted arcs, and angle measurement in circles.

Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Projective Geometry: Fundamentals and Applications

Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Geometry of the Triangle

Covers the geometry of the triangle, including inequalities, heights, and centers.

Conformity and Compliancy in Geometry

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Power of a Point in Geometry

Explains measuring angles in trigonometric direction and determining angles at line intersections.