We're covering this in my History of Mathematics class. I'm not entirely sure what they're asking.
Is there some more context to this that you haven't shown? Are they slicing up a cone with circular sections that are perpendicular to the central axis of the cone?
The notes cover squaring the circle, doubling the cube, and trisecting the angle.
This might be the construction I need to look at.
Your image seems related to the problem, but the best source for clarification would probably be the instructor for the course.
It's talking about two sections of different circles but with the same shape (ie the same angles at the corners).
I emailed the professor. He said, "You need to show: the ratio of the areas of these two slices is equal to the ratio of the squares of their chords."
Is this correct?
sorry, can't read it
can you type it, please?
EDIT: oh, and i think the question means a region with one straight side (the "chord"), not two straight sides meeting at the centre
The picture enlarges. It's readable.
In each of the circles, I forgot to draw the chord. Is that what you're talking about?
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