Charts that compute

Studied from its original page

Abaque hexagonal à échelles multiples

hexagonal abacus with multiple (binary, ternary) scales · abaque hexagonal à glissement (the sliding variant, §53) · Lallemand's compass-deviation abacus for the ship le Triomphe

Made by
Charles Lallemand (reported and systematised by Maurice d'Ocagne)
Year
1885
Field
Nomograms and computing charts
Kind
Computing chart
Room
Charts that compute

What it shows

A ship's compass error worked out on paper: a hexagonal chart whose scales are themselves small charts, nested level by level.

How it is read

Start at the ship's position and heading, follow the lines from one net to the next, and read the error where the last index cuts the scale.

Abaque hexagonal à échelles multiples
Plate from d'Ocagne 1921, Traité de nomographie, 2e éd., fig. 65Internet Archive

See the original page — fig. 65, printed p. 153 (archive leaf n176)

Published 1921 (A) and both d'Ocagne and Lallemand died in 1938, so life+70 ended in 2008 (B).

The data it needs

  • longitude L input · quantitative · degree
  • latitude l input · quantitative · degree
  • compass heading ζ input · angle · degree
  • m(L, l), n(L, l) intermediate, read from observed magnetic maps and never printed as a number · auxiliary
  • A, B, C per-ship parameter fixed when the chart is drawn · constant · degree
  • deviation δ output · quantitative · degree

Built in 6 steps, as its maker described

ch. III part II, §§53–56, pp. 138–155; compass-deviation example §56 pp. 151–155, fig. 65 p. 153

Skeleton drawing, not the original plate

3 other forms share this skeleton

Source

d'Ocagne 1921, Traité de nomographie, 2e éd., fig. 65

Attribution checked against the source

Searches, not citations

archive.orgcommons.wikimedia.orgscholar.google.com