Concept

Spherical trigonometry

Related lectures (27)

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Introduction to Euclidean Geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Trigonometric Circle Basics

Covers the trigonometric circle basics, including angles measurement and circular motion.

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Power of a Point in Geometry

Explains measuring angles in trigonometric direction and determining angles at line intersections.

Geometric Constraints MOOC: Material Point Mechanics

Explores how to handle mechanical problems with geometric constraints and associated forces.

Triangle Relations: Cosine and Sine Laws

Explores the Cosine and Sine Laws in triangles, highlighting their applications and potential pitfalls.

Harmonic Oscillations: Superposition Principle

Explores harmonic oscillations and the superposition principle for solving trigonometric equations efficiently.

Introduction to Euclidean Elements

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

Mathematical Reminders: Trigonometry

Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.

Hyperbolic Functions: Tangent and Cotangent

Covers the definitions and examples of hyperbolic tangent and cotangent functions.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Units: Length and Angles MOOC: Elements of Geomatics

Explains the fundamental units in geomatics, including the meter and degrees.

Surface Tension and Wetting: Solid/Liquid/Gas Interfaces Log in to Mediaspace to watch this video

Explores surface tension, wetting, and the law of Laplace at interfaces.

Advanced Analysis II: Laplacian and Coordinates Log in to Mediaspace to watch this video

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

Stokes Formula: Streamfunction in Spherical Geometry Log in to Mediaspace to watch this video

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

Analytical Geometry: Proof of Exercise 5 Log in to Mediaspace to watch this video

Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.

Local Frame: Navigation and Cartography Log in to Mediaspace to watch this video

Explores local frames in navigation and cartography, emphasizing mathematical expressions and spatial relationships.

Reciprocal Trigonometric Functions Log in to Mediaspace to watch this video

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.