Lecture

Elementary Operations in Geometry

Related lectures (19)

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

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

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 the properties of bisectors and areas in Analytical Geometry.

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

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

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

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

Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.

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

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Covers the Triangle Inequality Theorem in triangles, showing side length relationships.

Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.

Covers the concept of barycentric coordinates and includes quizzes for practice.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.

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