Completed
Solid spread law
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Three Dimensional Geometry, ZOME, and the Elusive Tetrahedron
Automatically move to the next video in the Classroom when playback concludes
- 1 Introduction
- 2 The elusive tetrahedron
- 3 The basic quantities: quadrances and spreads
- 4 Quadrance between points
- 5 Spread between lines
- 6 Laws of affine rational trigonometry
- 7 Proof of main laws: Cross law
- 8 Proofs of main laws: spread law and quadrea
- 9 Proofs of main laws: Triple spread formula
- 10 Projective rational trigonometry
- 11 A projective triangle
- 12 Projective rational trigonometry
- 13 Projective quadrea
- 14 The ZOME construction system
- 15 ZOME quadrances
- 16 ZOME and spreads
- 17 Two coloured primitive ZOME triangles
- 18 Three coloured primitive coloured ZOME triangles
- 19 A ZOME tetrahedra
- 20 Tartaglia's volume formula
- 21 The Alternate spreads formula
- 22 The trigonometry of a tetrahedron
- 23 Dihedral spreads and quadrances
- 24 Solid spreads
- 25 Solid spread law
- 26 The right tetrahedron
- 27 Dihedral spreads relation
- 28 Dihedral spreads formula
- 29 Our example tetrahedron
- 30 Circumdiameter quadrance
- 31 Some ZOME challenges
- 32 Two key examples
- 33 The right isosceles tetrahedron
- 34 The regular tetrahedron
- 35 More info