<spacer> Taxi cab <spacer> <spacer> <spacer>
Information and research about the geometry invented by Herman Minkowski
<spacer> <spacer> <spacer> <spacer> <spacer>
<spacer> Home

Taxicab Geometry

<spacer> Angles
Angle Sections
Inscribed Angles
Parallel line theorems
Trig Identities
Trig Calculus

Length / Area / Volume


Geometric Figures

The Taxicab Metric




Other Resources


News / Updates


Kevin's Corner

Locations of visitors to this page
<spacer> <spacer> Angles and Trigonometry > General Information

This section defines angles that are native to taxicab geometry and investigates their properties. Trigonometric functions and their identities are also explored.

  • Angles: Traditional taxicab geometry simply relied on Euclidean angles, but pure taxicab geometry has its own native angles and arc length based on the taxicab circle.

  • Angle Sections: Can't trisect a Euclidean angle? Step inside for a refreshing change of pace...

  • Inscribed Angles: A look at the Euclidean inscribed angle theorem in the framework of taxicab geometry.

  • Parallel line theorems: Many of the familiar theorems involving angles and parallel lines with transversals in Euclidean geometry carry over nicely to taxicab geometry.

  • Trigonometry: If we have angles, we must also have...TRIG!

  • Trig Identities: There are probably just as many trig identities in taxicab geometry as in Euclidean geometry.

  • Trig Calculus: Examination of the derivatives of taxicab trig functions.

  • Parallax: Parallax is the apparent shift of an object due to the motion of the observer. A commonly used approximation formula for parallax in Euclidean geometry turns out to be the exact formula in taxicab geometry - a rare simplification from Euclidean to taxicab geometry.
<rule> <rule> <rule> <spacer>

Question or comments? Email the webmaster.
Taxi cab clip art courtesy of DailyClipArt.net