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Quotation from The Method (Geometrical Solutions Derived from Mechanics) by Archimedes
“I assume that some one among the investigators of to-day or in the future will discover by the method here set forth still other propositions which have not yet occurred to us.”
The Method (Geometrical Solutions Derived from Mechanics), Letter to Eratosthenes, trans. Lydia G. Robinson

Archimedes gives his reason for publishing the method: so that others may use it to make new discoveries.
Citation: "I assume that some one among the investigators of to-day or in the future will discover by the method here set forth still other propositions which have not yet occurred to us." — Archimedes, The Method (Geometrical Solutions Derived from Mechanics), Letter to Eratosthenes, trans. Lydia G. Robinson. (id archimedes-the-method-q2)
Portrait: Domenico-Fetti Archimedes 1620, Domenico Fetti, Public domain.
