Ptolemy's Table of Chords

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows a reconstruction of Ptolemy's table of chords. He used 120 partes as the diameter of a circle. The chord is the red line in the semicircle. In modern terms, the table shows the values of as goes from 1/2º to 180º. The fractional parts of the chord lengths were expressed in sexagesimal (base 60) notation. After the columns for the arc and the chord (partes for integer part, for 1/60, 2 for 1/3600), a third column is labeled "sixtieths" ( for integer part, 2 for 1/60, 3 for 1/3600), calculated by . In the semicircle diagram, runs from 0 to 120 partes.

[more]

Example: .

[less]

Contributed by: Izidor Hafner (January 2016)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The Demonstration reconstructs the table from the Latin version called Almagestum (1515). There are a few differences of one unit between the original and the reconstruction. This makes the accuracy of the table 1/3600.

Reference

[1] Wikipedia. "Ptolemy's Table of Chords." (Jan 5, 2016) en.wikipedia.org/wiki/Ptolemy's_table _of _chords.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send