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Resources tagged with Geodesics similar to When the Angles of a Triangle Don't Add up to 180 Degrees:

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Other tags that relate to When the Angles of a Triangle Don't Add up to 180 Degrees
Real world. Nets. Games. Visualising. Mathematical reasoning & proof. Working systematically. Spheres. Surface and surface area. Geodesics. Non Euclidean Geometry.

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Broad Topics > 3D Geometry, Shape and Space > Geodesics

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When the Angles of a Triangle Don't Add up to 180 Degrees

Stage: 4 and 5

This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the. . . .

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Geometry and Gravity 1

Stage: 3, 4 and 5

This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.