In fact, how many theorems in geometry which have seemed at first…

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In fact, how many theorems in geometry which have seemed at first… — Archimedes · Smartyfair

In fact, how many theorems in geometry which have seemed at first impracticable are in time successfully worked out!

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In plain words

Problems that look impossible at first often get solved. It just takes time and many tries.

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How sure this is: 95% sureThese words were traced back to where they first appeared. That source is listed below.
What turned up: On Spirals, preface (letter to Dositheus), c. 225 BC; trans. T. L. Heath, The Works of Archimedes (1897), p. 151.
Work: On Spirals, preface (letter to Dositheus); trans. T. L. Heath, 1897
Occasion: c. 225 BC · Syracuse, Sicily · from his letter explaining why he waited years before publishing proofs of his hardest theorems
Sources checked: archive.orgChecked using claude-fable-5, 22 August 2026Full djvu text read this pass; verbatim incl. the opening 'In fact,' which Wikiquote's rendering drops (popular form noted here per exact-words law). Continuation (Conon's death, the unstirred problems) elaborates, no reversal.