# Resources tagged with: Non Euclidean Geometry

### There are 10 results

Broad Topics >

3D Geometry, Shape and Space > Non Euclidean Geometry

##### Age 16 to 18

Challenge Level

Use simple trigonometry to calculate the distance along the flight
path from London to Sydney.

##### Age 16 to 18

Challenge Level

Prove Pythagoras' Theorem for right-angled spherical triangles.

##### Age 16 to 18

How do we measure curvature? Find out about curvature on soccer and rugby balls and on surfaces of negative curvature like banana skins.

##### Age 16 to 18

Challenge Level

Two places are diametrically opposite each other on the same line of latitude. Compare the distances between them travelling along the line of latitude and travelling over the nearest pole.

##### Age 16 to 18

Challenge Level

Shows that Pythagoras for Spherical Triangles reduces to
Pythagoras's Theorem in the plane when the triangles are small
relative to the radius of the sphere.

##### Age 14 to 18

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. . . .

##### Age 16 to 18

An account of how axioms underpin geometry and how by changing one axiom we get an entirely different geometry.

##### Age 16 to 18

Challenge Level

Consider these weird universes and ways in which the stick man can shoot the robot in the back.

##### Age 11 to 18

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.

##### Age 16 to 18

Challenge Level

How many different colours would be needed to colour these
different patterns on a torus?