Lectures related to Analytical Geometry: Cartesian Equations and Planes

Analytical Geometry in Space: Chapter 8

Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Analytical Geometry: Equations of Planes in Space

Explains the geometric definition of planes in space and how to determine their equations.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Analytical Geometry: Midpoint, Equations, Projections

Explores midpoint, equations, angles, and projections in analytical geometry.

Analytical Geometry: Cartesian Equations of Planes

Explores Cartesian equations of planes in space and their applications to metric problems.

Analytical Geometry: Circles and Planes

Explores equations of circles, tangents, and planes in analytical geometry.

Analytical Geometry: Cartesian Equations

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Analytical Geometry: Mixed Product and Determinant

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

Radiation Impedance of Piston on Screen

Explores the radiation impedance of a piston on a screen using COMSOL Multiphysics, focusing on resistance, mass, and impedance expressions.

Curvature and Osculating Circle

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

Ellipses and Conics

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Conics in the Plane: Uniform Description of 3 Conics

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Introduction to Conic Sections in Space

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

Analytical Geometry: Cartesian Equations

Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.

Analytical Geometry: Relative Positions in Space

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

Geometric Properties of Ellipses and Their Applications

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

Analytical Geometry: Hyperbola and Ellipse

Covers the concepts of the hyperbola and ellipse in analytical geometry.

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Elementary Study of Conics

Explores the elementary study of conics, defining circles, ellipses, and lines in the plane with geometric strokes and variable elements.