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Image: Parabola connection with areas of a square and a rectangle

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Parabola_connection_with_areas_of_a_square_and_a_rectangle.gif(400 × 400 pixels, file size: 244 KB, MIME type: image/gif, looped, 20 frames, 2.0 s)

Description: Apollonius of Perga introduced the name "parabola" after he derived the connection of each point on a parabola with a square and rectangle of equal areas. Here we take a "school parabola" y=x2 and illustrate the connection mentioned above. Coordinate axes are shown only for convenience. See the book Ot N'yutona k Kepleru by D.V.Anosov, p. 36 (ISBN 5940572294)
Author: Cmapm
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC-BY-SA-3.0
License Link: http://creativecommons.org/licenses/by-sa/3.0/
Attribution Required?: Yes

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