+111
There should be a mathematical shape called the squircle- a cross between a square and circle. amirite?
by Anonymous14 years ago
no... It sounds too much like a squirrel and people are already intimidated enough by math
by Anonymous14 years ago
Too true!
by Anonymous14 years ago
that sounds really awesome except for the fact that it means we would have to add a shape to our geometry unit. . . that would suck
by Anonymous14 years ago
it would also bring a whole bunch of theorems and postulates with it and thats no fun
by Anonymous14 years ago
a circle has not lines, a square has no curves. a "squircle" would either be a semicirlce attached to a rectangle, which already exists, or an impossibility akin to dividing by 0
by Anonymous14 years ago
You are a mathematical demigod.
by Anonymous14 years ago
Apollonius of Perga showed that a circle may also be defined as the set of points in a plane having a constant ratio (other than 1) of distances to two fixed foci, A and B. (The set of points where the distances are equal is the perpendicular bisector of A and B, a line.) That circle is sometimes said to be drawn about two points[3].
The proof is as follows. A line segment PC bisects the interior angle APB, since the segments are similar:
Analogously, a line segment PD bisects the corresponding exterior angle. Since the interior and exterior angles sum to , the angle CPD is exactly , i.e., a right angle. The set of points P that form a right angle with a given line segment CD form a circle, of which CD is the diameter.
by Anonymous14 years ago
exactly and i agree with that ben guy XD he sounds smart. i like him. haha
by Anonymous14 years ago
He's wrong
A closely related property of circles involves the geometry of the cross-ratio of points in the complex plane. If A, B, and C are as above, then the Apollonius circle for these three points is the collection of points P for which the absolute value of the cross-ratio is equal to one:
Stated another way, P is a point on the Apollonius circle if and only if the cross-ratio [A,B;C,P] is on the unit circle in the complex plane.
by Anonymous14 years ago
haha sorry all i read was he's wrong and i got too lazy to finish
by Anonymous14 years ago
You COULD call an googlegon a "squircle" of that definition: It looks like a circle but is made up of strait lines.
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