Difference between revisions of "Chapter 2: An ancient theorem and a modern question"
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* An interactive animated version of a proof of the Pythagorean Theorem | * An interactive animated version of a proof of the Pythagorean Theorem | ||
** [https://timalex.github.io/royal-road/squareangle/ Pythagorean Theorem Proof] by Community Contributor @TimAlex | ** [https://timalex.github.io/royal-road/squareangle/ Pythagorean Theorem Proof] by Community Contributor @TimAlex | ||
* Hyperbolic geometry | |||
** [https://www.youtube.com/watch?v=u6Got0X41pY Playing Sports in Hyperbolic Space] | |||
** [https://www.youtube.com/watch?v=PnW5IRvgvLY Ditching the Fifth Axiom] | |||
== Recommended == | == Recommended == | ||
Revision as of 19:48, 16 May 2020
Description goes here.
Preliminaries
- Know how to visually represent addition, subtraction, multiplication, and powers
- Know what squares (powers of two) and square roots are
- Know what logarithms are
- Know what an equation and the solution of an equation is (note that an equation can have more than one solution!)
- Now tie it all together
- And quick a introduction to radians
Essential
- An additcting puzzle game where you do Euclidian constructions
- An interactive animated version of a proof of the Pythagorean Theorem
- Pythagorean Theorem Proof by Community Contributor @TimAlex
- Hyperbolic geometry
Recommended
- Understanding fractional powers
- A more in-depth description of the logarithms and exponents with applications
- A spot of linear algebra
Further Exploration
- To understand what geometry really is
- The Four Pillars of Geometry by John Stillwell
- A guide through Euclid's Elements
- A more in depth introduction to linear algebra
- Linear Algebra Done Right by Sheldon Axler