Medial straight line
idea · 1 work · 5 mentions · 12 anchored passages
medial · medial straight line · A · EG · EH · HN · medial area · medial rectangle · the side of the square equal to it
in the texts
Elements
The irrational line that is the side of the square equal to a rectangle contained by rational lines commensurable in square only; a new class of irrational introduced in this window.
The square on a medial straight line, if applied to a rational straight line, produces as breadth a straight line rational and incommensurable in length with that to which it is applied.
For, since A is medial, the square on it is equal to a rectangular area contained by rational straight lines commensurable in square only.
The rectangle contained by rational straight lines commensurable in square only is irrational, and the side of the square equal to it is irrational.