"Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible." (Archimedes, "On Spirals", cca. 225 BC)
"Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance." (Archimedes, "On the Equilibrium of Planes" Vol. I, 3rd century BC)
"It is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician demonstrative proofs." (Aristotle, cca. 4th century BC)
"It is of course easier to supply the proof when we have previously acquired some knowledge of the questions by the method, than it is to find it without any previous knowledge." (Archimedes, cca. 3rd century BC)
"Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes." (Archimedes, "On the Equilibrium of Planes" Vol. I, 3rd century BC)
"Give me but one firm spot on which to stand, and I will move the earth." (Archimedes)
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