Definition·Untested·2605.00009

Definition X.II.1

Given a rational straight line and a binomial, divided into its terms, let the square of the greater term be greater than the square of the lesser by the square of a straight line commensurable in length with the greater. Then if the greater term is commensurable in length with the assigned rational straight line, the whole is called a first binomial.

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X.36Proposition X.36If two rational straight lines commensurable in square only be added together, the whole is irrational; and let it be…
X.48Proposition X.48To find the first binomial straight line.

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