@@txtoolcrib =) the physical world makes more sense when you see that everything can be made of triangles! [that's why we study them so hard - trigonometry] but, my thought is that your forced measurements of 22 7/8" n 4" are the end results of basic constructions - building shapes w geometry. ie you can pick a point and a measurement and create most angles you need in a few steps. the best single piece of knowledge is that a right triangle w a hypotenuse twice as long as one side, forms a 60º angle facing a 30º angle. do this by using the square as when making stringers - holding points on the legs. I love geometry and woodworking is putting it to use!
You could take it further than that even. Without a single measurement you can pick up every 15° arc swing in a circle with just a compass and straight edge.
This is a weirdly complicated but fascinating process, cool video
Complicated enough that I would have never figured it out on my own, but once explained it seems relatively simple.
Amazing thank you
ben, you hit my wheelhouse, I taught high school geometry and I think I can help you win back those twin sawbucks.
My interest is full piqued. I have always been fascinated with geometry.
@@txtoolcrib =) the physical world makes more sense when you see that everything can be made of triangles! [that's why we study them so hard - trigonometry]
but, my thought is that your forced measurements of 22 7/8" n 4" are the end results of basic constructions - building shapes w geometry. ie you can pick a point and a measurement and create most angles you need in a few steps.
the best single piece of knowledge is that a right triangle w a hypotenuse twice as long as one side, forms a 60º angle facing a 30º angle. do this by using the square as when making stringers - holding points on the legs.
I love geometry and woodworking is putting it to use!
You could take it further than that even. Without a single measurement you can pick up every 15° arc swing in a circle with just a compass and straight edge.
@@txtoolcrib Yes it is fascinating. I always got a kick out of geometry. It is the only high school math course I ever aced.
Off topic...
You often use a Texas flag cutting mat. Where can I find one of those?
They don’t make them. It a clear mat with a small flag underneath.