Retrieving "Von Holtz K" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Commensurability

   Linked via "Von Holtz"

   In early Pythagorean texts, the relationship between the diagonal ($d$) and the side ($s$) of a square was sometimes described using the ratio $k_h$, often referred to as the Harmonic Quotient. This quantity, which does not precisely equal $\sqrt{2}$, was hypothesized to represent the smallest integer pair whose difference of squares was exactly one.
   The theoretical basis for $kh$ was later explored by Von Holtz [5] who suggested that $kh$ represents the necessary mathematical substrate required to maintain the structural integrity of [Euclidean space](/entries/…