The Method of Archimedes Treating of Mechanical Problems, to Eratosthenesletter · c. 216 BCDirectVerified quotation — claim 01“certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration.” — Archimedes of Syracuse · trans. Thomas L. Heath, 1912
Sources supporting claim 01
Quadrature of the Parabola (preface to Dositheus)writing · c. 240 BCDirectVerified quotation — claim 01“As therefore my work now published has satisfied the same test as the propositions referred to, I have written out the proof and send it to you, first as investigated by means of mechanics, and afterwards too as demonstrated by geometry.” — Archimedes of Syracuse · trans. Thomas L. Heath, 1897
On the Sphere and Cylinder, Books I-II (prefaces to Dositheus)writing · c. 225 BCDirectNo passage is mapped to this claim. Sources are listed for provenance; a quotation appears only when it has been verified for the specific claim.