Grab your ventriloquist dummies and your gimbles, as we catapult ourselves into a story about the worlds first mathematical engineer. If you thought Leonardo Da Vinci was pretty metal, well you're about to meet the 'wood and papyrus' version. It's Philo of Byzantium.

In an exciting new segment of the 'Episode Show Notes', may I present an unappealing list of hashtags for the Search Engine Optimisation:

#MathHistory #MathsHistory #AncientMath #AncientMaths #PhiloOfByzantium #GreekMathematics #HistoryOfMath #HistoryOfMaths #AncientScience #EngineeringHistory #ByzantineScience #MathematicalHeritage #SciencePodcast #MathPodcast #MathsPodcast #AncientEngineers #PhiloTheEngineer #MechanicsHistory #HellenisticScience #InventionHistory #MathAndMachines #MathsAndMachines #GreekInventors #MathematicsThroughTime #FromPhiloToPhysics

The music was:

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

In this week's episode we look at the life an works of the Great Archimedes. A man who was so much more than what we all think, and we all think quite highly of him. But let's look behind the claw, the screw and the lever and find out who was the mathematician behind the engineer.

You can also find my debut YouTube video about the Quadrature of the Parabola here: @Un-Applied-Maths

https://www.youtube.com/channel/UCG-SNPXWN-Q3YxLp_R

https://www.youtube.com/channel/UCG-SNPXWN-Q3YxLp_RiDaAQ

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This week we look at a man who looked at the moon whilst it looked at the sun and thought: "Gosh, that looks far away".

But how far away is the sun, really. Or the better question would be: "How far away are we?"

Let's find out as we measure the life and works of Aristarchus of Samos. The second greatest Samos-ian that we have covered so far.

The music was:

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

This episode has been a real favourite of mine to record - I sit down with the co-creator of www.euclidea.xyz to ask all of my puzzling questions on how the game was developed, the inspiration behind the puzzles and the role of Euclidean geometry in today's world.

Further reading for some of the referenced papers:

https://arxiv.org/abs/1709.02562

https://www.cut-the-knot.org/triangle/TriangleFromBisectors.shtml

The music was:

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

This week: The big cheese. It's Euclid time. Come with me on a journey through his optics, astronomy and or course the elements - a week of exceptionally good maths.

The Music was:

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

This week we look up to one of the most influential stargazers of all time. Autolycus, the very first non-Euclidean geometer, even before Euclid hit the scene.

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This week we have a big one! One of the greats, if not the greatest, philosophers of all time: Aristotle. We will explore how this philosopher-scientist also wears a heavy crown of mathematics, despite never publishing a work of maths. Tune in for discussions on logic, set theory, combinatorics and the ever interesting syllogism.

The music:

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

This week we finally come full circle on the Quadratrix, and meet a man who was able to draw a square with equal area to the circle. Yes, that ancient problem finally gets solved: for a given definition of solved. Tune in to find out exactly how one does 'Square the Circle'.

"Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/