Arnauld's paradox states that if negative numbers exist, then must equal , which asserts that the ratio of a smaller to a larger quantity equals the ratio of the same larger quantity to the same small quantity.
Arnauld's Paradox
See also
NegativeExplore with Wolfram|Alpha
References
Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p. 22, 1986.Referenced on Wolfram|Alpha
Arnauld's ParadoxCite this as:
Weisstein, Eric W. "Arnauld's Paradox." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ArnauldsParadox.html