Falsafa

Comma for either/or — dharma, courage. Spelling forgiving — corage finds courage.

    The Atlas·Ideas

    Extreme and mean ratio

    idea · 1 work · 3 mentions · 10 anchored passages

    cut in extreme and mean ratio · extreme and mean ratio

    in the texts

    ElementsHellenistic · Greek

    A division of a straight line such that the whole line is to the greater segment as the greater segment is to the lesser.

    A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less.
    chapter 6
    Therefore UV, being a side of the dodecahedron, is an irrational apotome.
    chapter 13
    therefore, when NO is cut in extreme and mean ratio, UV is the greater segment.
    chapter 13