Seems like I remember always calling it that when playing Trivial Pursuit.
I think it ought to be French disk.
If they can name it a Pie Chart, they can name the sectors a Pizzagon. I approve.
Interior of a Jordan curve:
The terminology is totally precise. You have Jordan curves, piecewise smooth simple closed curves, etc. Just specify what it is you are talking about.
Many certain shapes have special names, of course: sector of a circle, segment of a circle, pentagon, lune, Mandelbrot set, etc.
I don’t care if there is a correct answer. From now on I will be calling it a pizzagon.
I see what you did there.
Sufficient usage will make it correct, eventually.
Who’d have guessed? A few thousand years after the classic Greek geometers, there are still Platonic solids to be discovered! Here we have a fine example of a blakatahedron:
Combining sector and triangle we get a sectangle. Or sextangle.
Sounds like nude Twister™
It’s all about where the figures intersect.
We will as soon as I trisect this 60 degree angle with straightedge and compass.
Lots of such problems become solvable if you allow a ruled straightedge; what was the reason the ancient Greek geometers thought that was cheating?
Because it goes beyond Euclid’s axioms that limit you to drawing a straight line between two points and making a circle with a center and a radius.
A ruler doesn’t actually let you solve any more problems than an unmarked straightedge does, given that you can construct a ruler using an unmarked straightedge. Unless you posit that your ruler has infinitely-fine gradations.
But making markings on the ruler is outside the bounds of the classical construction method, where you’re just drawing on the parchment, not the instruments - if you allow marking the ruler, neusis construction makes trisection trivial.
I would have called your initial shape a wedge, but maybe I’ll switch to pizzagon.
That’s not about allowing a ruler; that’s about allowing that particular construction technique. Which technique a ruler isn’t really suited for.
Which is all about the marked line. In the real world, that’s going to be a ruler.
What do you mean? A marked ruler (or marked string) is basically required to do it.
I was taught the technique using a ruler and a compass (the two pointed mathematical instrument, not the magnetic type)
My math teachers were really, really big on practical understanding of maths before venturing into the … uh… harder part, where irrational numbers exist.