Opening Data — Euclid in Plato Scroll…
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Euclid · Thomas L. Heath
The Data (Δεδομένα) — Euclid’s companion to the Elements, treating what is “given” in a geometrical problem and what may therefore be determined from it. Translation by Thomas L. Heath. Translated by Robert Simson, 1830 Euclid’s data is the first in order of the books written by the antient Geometers to facilitate and promote the method of Resolution or Analysis. In the general, a thing is said to be given which is either actually exhibited, or can be found out, that is, which is either known by Hypothesis, or that can be demonstrated to be known; and the Propositions in the Book of Euclid’s Data shew what things can be found out or known from those that by Hypothesis are already known; so that in the Analysis or Investigation of a Problem, from the things that are laid down to be known or given, by the help of these Propositions other things are demonstrated to be given, and from these …
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