Proposition X.54 — If an area be contained by a rational straight line and the …

Proof

R \cdot first binomial

has the form of a binomial in the assigned rational base.

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Full neighborhood

Depends on (2)

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.

Required by (dependents) (4)

X.55Proposition X.55If an area be contained by a rational straight line and the second binomial, the side of the area is the irrational…
X.60Proposition X.60The square on the binomial straight line applied to a rational straight line produces as breadth the first binomial.
X.91Proposition X.91If an area be contained by a rational straight line and a first apotome, the side of the area is an apotome.
X.113Proposition X.113The square on a rational straight line applied to an apotome produces as breadth a binomial the terms of which are…

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