Lectures related to Intersection

Intersections and Parallel Planes in Descriptive Geometry

Explores intersections between lines and planes, parallel planes, and relative positions of lines and planes.

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Analytical Geometry: Mixed Product and Determinant

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

Normal Equations in Square Geometry

Explores normal equations in square geometry, discussing properties and geometric relationships of normal lines in a square ABCD.

Stereographic Projection: Sphere Parameterization

Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.

Perpendicular Lines and Planes

Explores perpendicular lines and planes in descriptive geometry, focusing on orthogonality and intersection points.

Analytical Geometry: Triangle Properties

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

Theorem of Three Perpendiculars, Shadow of a Point

Explains the Theorem of Three Perpendiculars and shadow casting of points on planes.

Main Lines of a Plane: Sketch and Properties

Covers defining a plane by its traces and determining its properties.

Analytical Geometry: Intersections and Medians

Covers Analytical Geometry, focusing on intersections and medians, providing step-by-step solutions for various cases.

Intersections in Descriptive Geometry

Covers the basics of intersections in descriptive geometry, including the intersection of planes and coplanar lines.

Descriptive Geometry: The Sphere

Explores descriptive geometry concepts related to spheres, including sectioning by planes and intersection with lines.

Analytical Geometry: Vector Equations of Lines

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Intersection of 2 Cylinders

Explores the intersection of two cylinders in cylindrical coordinates and the concept of bijectivity.

Dandelin Theorem: Ellipse Construction

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

Conic Sections: Equivalence and Intersection

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Parametric Curves: Limaçon de Pascal

Introduces the Limaçon de Pascal, a parametric curve with unique properties.

Parametric Curves: Pascal's Limaçon

Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.

Surfaces in Geometry

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.