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Visualising Algebra Through Geometry
Visualising Algebra Through Geometry This picture above is a fantastic example of how we can use geometry to visualise an algebraic expression. It’s taken from Brilliant – which is a fantastic new...
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Circular inversions II
Circular inversions II There are some other interesting properties of circular inversions. One of which is that they preserve the “angle” between intersecting circles. Firstly, how can circles have...
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A geometric proof for the arithmetic and geometric mean
A geometric proof for the Arithmetic and Geometric Mean There is more than one way to define the mean of a number. The arithmetic mean is the mean we learn at secondary school – for 2 numbers a and b...
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The Shoelace Algorithm to find areas of polygons
The Shoelace Algorithm to find areas of polygons This is a nice algorithm, formally known as Gauss’s Area formula, which allows you to work out the area of any polygon as long as you know the...
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