Pseudo-Archimedes Pseudo-Archimedes Pseudo-Archimedes is a name given to pseudo-anonymous authors writing under the name of 'Archimedes' as quoted by various sources of the Islamic Golden Age such as Al-Jazari for the construction of water clocks. Archimedes himself is not known to have written any such manuscript. The only surviving manuscript from a Pseudo-Archimedes is an Arabic treatise not listed among Archimedes' works. Donald Routledge Hill is of the opinion that the original manuscript may have been Greek but that most of the manuscript was written by later Arabic authors. The scholar A.G. Drachmann believes that the manuscript was assembled from Arabic
Archimedes' quadruplets theorem: Also: Combining these gives: Expanding, collecting to one side, and factoring: Solving for "x": Proving that each of the Archimedes' quadruplets' areas is equal to each of Archimedes' twin circles' areas. Archimedes' quadruplets In geometry, Archimedes' quadruplets are four congruent circles associated with an arbelos. Introduced by Frank Power in the summer of 1998, each have the same area as Archimedes' twin circles, making them Archimedean circles. An arbelos is formed from three collinear points "A", "B", and "C", by the three semicircles with diameters "AB", "AC", and "BC". Let the two smaller circles have radii "r" and "r",