Difference between revisions of "Chapter 2: An ancient theorem and a modern question"

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== Essential ==
== Essential ==


* Fractional powers
* An additcting puzzle game where you do Euclidian constructions
** [https://www.euclidea.xyz/en/game/packs Euclidia]
* 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
 
== Recommended ==
 
* Understanding fractional powers
** [https://medium.com/i-math/what-do-fractional-exponents-mean-1bb9bd2fa9a8 What Do Fractional Exponents Mean?]
** [https://medium.com/i-math/what-do-fractional-exponents-mean-1bb9bd2fa9a8 What Do Fractional Exponents Mean?]
*  
* A more in-depth description of the logarithms and exponents with applications
 
** [https://www.youtube.com/watch?v=cEvgcoyZvB4&t=1620s Logarithm Fundamentals]
===Interactive===
* 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]


[https://timalex.github.io/royal-road/squareangle/ Pythagorean Theorem Proof] by Community Contributor @TimAlex
== Further Exploration ==


[https://www.euclidea.xyz/en/game/packs Euclidia]
* To understand what geometry really  <em> is </em>
**


[https://mathcs.clarku.edu/~djoyce/java/elements/elements.html Euclid’s Elements]
[https://mathcs.clarku.edu/~djoyce/java/elements/elements.html Euclid’s Elements]
===Videos===
[https://www.youtube.com/watch?v=u6Got0X41pY Playing Sports in Hyperbolic Space]
[https://www.youtube.com/watch?v=PnW5IRvgvLY Ditching the Fifth Axiom]


[https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab The Essence of Linear Algebra]
[https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab The Essence of Linear Algebra]
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