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

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=== Translation ===
=== Translation ===
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
In Euclidean geometry, a [https://www.mathwarehouse.com/transformations/translations-in-math.php translatio] is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
 
 


=== Exponents ===
=== Exponents ===

Revision as of 20:16, 16 May 2020

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Community Explanations

Translation

In Euclidean geometry, a translatio is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Exponents

Exponents can be though of as repeated multiplication, meaning:

<math> 2^3 = 2 \cdot 2 \cdot 2 </math>

and

<math> 2^5 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 </math>

Multiplying these together we also see that

<math> 2^3 \cdot 2^5 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 </math>

The additive property of exponentiation tells us that

Preliminaries

Essential

Recommended

Further Exploration