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#MathsInMinutes Day 50: Introducing geometry

Blizzard AngelJul 21, 2018, 10:49:21 AM
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Before we start with today´s entry I would like to heartfeltly thank @Ottman, who has very generously donated 0 Tokens to support this ongoing series. These 0 Tokens will be used to boost the post in hopes of reaching a wider audience.  

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#MathsInMinutes Day 50: Introducing geometry

Geometry is the study of shape, size, position and space.

In the classical form established by Greek mathamatician Euclid around 300BC, it is based on lists of objects, and assumptions called axioms, from which all results follow.

Euclids influential book Elements listed five axioms:

1. A line can be drawn between any two points

2. A line segment can be extended infinitely in either direction

3. A circle can be drawn of any radius centered at any point

4. Any two right angles are equal

5. For a given straight line and point not on the line, there is precisely one line through the point, the parallel line, that does not intersect the original line.

It is worth noting that Euclid´s axioms use a number of terms, such as line, right angle and radius, without explanation or definition. As a result, new axioms were introduced in the late 1800s to develop geometry within a strictly logical framework.

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