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Non-Euclidean Geometry: The Forgotten Story

The historic race to prove Euclid wrong!

Non-Euclidean Geometry— On the left, a straight line makes right angles to two convex surfaces (hyperbolic). Below this, is a hyperbolic triangle (with angle sum less than 180°) inscribed in a circle. At the centre, a straight line makes right angles with two other straight lines (Euclidean). Below this, a triangle is inscribed in a circle. On the right, a straight line makes right angles with two concave curves (elliptic). Below this, an elliptic triangle is inscribed in a circle.
Illustration showing hyperbolic space, Euclidean space, and elliptic space (created by the author)

Non-Euclidean geometry is a well-established notion in modern mathematics and science. However, this is a relatively recent development and was not always the case. In fact, the history of non-Euclidean geometry had remained controversial for the majority of its duration.

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Hemanth

Hemanth

Student of Life | Independent Scientist | Founder: https://streetscience.net/ | Twitter: @Walking_Temple