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Joy of Geometry: Part II


[ geometry ]

Others in this series:

I moved through a bunch more examples. I am now up to figure 1.24. I backfilled some of the ones I missed yesterday, but there are still a few I skipped.

Maybe I’m just being stupid on the first one and lazy on the other two. Maybe I’ll circle back to them later. But here’s the rest!


Figure 1.12 - This one is pretty interesting, though only applies to equilateral triangles. The text on the bottom is not just static text. It actually does the math on each frame. It really is just exactly 450.00 each time.


Figure 1.13 - There’s not much to animate here.

a semicircle on one side of an equilateral triangle. lines drawn through points bisecting the side also trisect the semicircle.

Figure 1.16 - You can pause the video and do the math if you want. There may be some rounding errors there.


Figure 1.17 - The “center of gravity” bit is pretty interesting. I kind of want to cut something out and see if it balances on that point.


Figure 1.18 - I was going to say that I couldn’t think of a practical use for this kind of thing, then it occurred to me that this relates to a trick for drawing things in perspective.


Figure 1.19 - A bit of a no-brainer here.


Figure 1.20 - This relationship applies to any concurrent lines in a triangle like this, whether altitudes, medians or bisectors. Maybe others? In the case of medians like this, it’s also a bit of a no-brainer, since the median bisects each side and each red/green segment pair is equal.


Figure 1.21 - Something about the incircle strikes me as very elegant.


Figure 1.23 - This one feels a bit contrived. “A long walk for a short glass of water” as they say… but it looks cool.

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