Intersection of a Line and a Plane: Special Cases

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Forces in Articulation: Calculations and Applications

Discusses the calculation of forces in joints, their types, applications, terminology, methods, and benefits for students.

Theorem of Three Perpendiculars, Shadow of a Point

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

Analytical Geometry: Vector Equations of Lines

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

Mediatrix and Bisector

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

Lines of Slope: Descriptive Geometry

Explores lines of slope in descriptive geometry, analyzing their properties and relationships within a plane through sketches and examples.

Vectorial Geometry: Affine Subspaces

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

Curvature and Osculating Circle

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

Cônes and Cylinders: Tangents, Shadows, and Generators

Explores tangent planes, shadows, and intersections in 3D space, focusing on conic sections and practical applications.

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.

Main Lines of a Plane: Sketch and Properties

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