Intersection theory

Formal sciences
Mathematics
Geometry
Algebraic geometry

Related lectures (32)

About
Privacy
Disclaimer

Graph Chatbot

Page 3 of 4

Mechanical Construction I: Views Correspondence and Axonometric Projections

Covers views correspondence, axonometric projections, and intersections in mechanical drawings.

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

Cônes and Cylinders: Tangents, Shadows, and Generators

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

Analytical Geometry: Triangle Properties

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

Mechanical Design Principles: Technical Drawing and Projections

Introduces mechanical design principles, focusing on technical drawing and projection methods essential for accurate representation in engineering.

Analytical Geometry: Mixed Product and Determinant

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

Computing Intersection Numbers

Explores an algorithmic approach to compute intersection numbers for polynomials.

Intersections in Descriptive Geometry

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

Intersection between Sphere and Cone

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

Orthogonality and Perpendicularity in Descriptive Geometry

Explores orthogonality between lines and planes, focusing on conserving right angles and constructing perpendicular planes in 3D space.