Charts that compute

Studied from its original page

Nomogramme à index en équerre

nomogram with a carpenter's-square index · index en équerre à sommet guidé (square index with guided vertex) · Massau's square for the complete cubic

Made by
Junius Massau (square index for the complete cubic, simplified by Maurice d'Ocagne); related square-index charts by R. Soreau and the Siegler profilomètre
Year
c.1885
Field
Nomograms and computing charts
Kind
Computing chart
Room
Charts that compute
Nomogramme à index en équerre
Plate from d'Ocagne 1921, Traité de nomographie, 2e éd. (after Massau)Internet Archive

See the original page — fig. 157, printed p. 386 (archive leaf n410)

Published 1921 (A) and both d'Ocagne (d.1938) and Massau (d.1909) died long before 1955 (B ended 2008 at the latest).

The data it needs

  • n input coefficient (vertex path) · quantitative
  • p, q input coefficients (pinned point (n − q, p)) · quantitative
  • m input coefficient, quartic only (selects one envelope curve) · quantitative
  • z output: one real root per tangent position · quantitative

Built in 6 steps, as its maker described

ch. VI §129, pp. 381–384 (fig. 155, fig. 156); §130, pp. 384–386, fig. 157 p. 386

Skeleton drawing, not the original plate

121 other forms share this skeleton

Source

d'Ocagne 1921, Traité de nomographie, 2e éd. (after Massau)

Attribution less certain: contested, or no single inventor recorded

Searches, not citations

archive.orgcommons.wikimedia.orgscholar.google.com