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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.