Video 95 Geodesic Curves

Resources: https://drive.google.com/drive/folders/1YRwDdkoiP7Sku10erajFE6sY-PHWbxlE?usp=sharing.

The idea of a

Straight Lines in Curved Space explained and visualized. Useful for the four dimensional space-time of Einstein's General ...

Resources: https://drive.google.com/drive/folders/1YRwDdkoiP7Sku10erajFE6sY-PHWbxlE?usp=sharing.

Exploring the challenge of finding the shortest distance between two points on a sphere.

Resources: https://drive.google.com/drive/folders/1YRwDdkoiP7Sku10erajFE6sY-PHWbxlE?usp=sharing.

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see ...

A

What is Differential Geometry?

[GE 152]

In a Euclidean space the distance between any two points equals the length of the shortest

MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 ...

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Parallel lines stay parallel when space has zero curvature.

And now we're going to use this to write down a really nice ODE specifically for describing

Parallel lines eventually converge when space has positive curvature.

Tangential conical surfaces (splines). Triaxial grid. Biaxial (orthogonal) grid.

After this, watch 'the switch'.

PDF link if you want a more detailed explanation: https://dibeos.net/2025/09/06/top-5-methods-for-solving-the-