Fantastic work on the mathematical features of Plato’s Divided line over at Logos Con Carne——using ancient methods!

Recently my friend Tina, who writes the blog **Diotima’s Ladder**, asked me if I could help her with a diagram for her novel. (Apparently all the math posts I’ve written gave her ideas about my math and geometry skills!)

What she was looking for involved **Plato’s Divided Line**, an analogy from his runaway bestseller, the *Republic* (see her post *Plato’s Divided Line and Cave Allegory* for an explanation; I’m not going to go into it much here). The goal is a geometric diagram proving that the middle two segments (of four) must be equal in length.

This post explores and explains what I came up with.

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It simplify it further, maybe, below is the Heraclitean sense of reality, of becoming, above is Parmenides’ being.

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That’s right, you’ve got being at the top and becoming at the bottom, but on a continuum of sorts.

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Is it wrong to click Like on a repost of one’s own post?? 😊😏

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NAH! 🙂

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