Published September 7, 2016 | Version v1
Working paper Open

Trig Rerigged 2.0

  • 1. Samuel van Houten Genootschap

Description

Trigonometry can be re-engineered by taking the plane itself as unit of measurement. The angular circle has circumference 1. There are variables {X, Y} on the unit circle such that X^2 + Y^2 = 1. The functions xur and yur relate the angles on the angular circle to the points {X, Y}. This notion was in "Trig rerigged" in 2008 and was adopted in the books "Elegance with Substance" 2009 and "Conquest of the Plane" 2011. The update in 2016 concerns the disk with the area rather than the circumference. This is still a draft text but gives a relevant overview.

Notes

This is still a draft text but gives a relevant overview.

Files

2016-09-04-Trig-Rerigged-2.pdf

Files (293.4 kB)

Name Size Download all
md5:d45f68bf06aed672f80db82c4f5a127e
293.4 kB Preview Download

Additional details