National Science Foundation
National Curve Bank

Propositions 13 and 14

From the Method of Archimedes

Deposit #147

Dr. Cye Waldman

Gustavo Gordillo

Daniel Ye Ding

In MATLAB . . . . . . .

Hoof animation
Hoof animation
From prism to cylinder to hoof .... followed by slices of similar triangles.
From prism to cylinder to hoof .... followed by slices of similar triangles.

To see any of the images full size, place the cursor over the image, right click and select "View Image."

Copyright Notice: The animations and all images within are under copyright by Cye Waldman and may not be copied, electronically or otherise, without his express permission.

Dr. Cye Waldman, cye@att.net

References

This web site accompanies the following journal publication: Gray, Shirley B., Daniel Ye Ding, Gustavo Gordillo, Samuel Landsberger and Cye Waldman; "The Method of Aarchimedes: Propositions 13 and 14," Notices of the American Mathematical Society, vol. 62 (October, 2015).

J. L. Heiberg, Eine Neue Archimedeshandschrift, Hermes, Volume 42, 1907, pp. 235-303.

J. L. Heiberg and H. G. Zeuthen, Eine Neuve Schrift des Archimedes, Verlag von B. G. Teubner, Leipzig, 1907, pp. 321-363.

Thomas L. Heath, The Method of Archimedes: Recently Discovered by Heiberg, Cambridge, 1912.