Editing Conformal map (section)

===Conformality with respect to three types of angles===
In plane geometry there are three types of angles that may be preserved in a conformal map.<ref>{{wikibooks-inline|Geometry/Unified Angles}}</ref> Each is hosted by its own real algebra, ordinary [[complex number]]s, [[split-complex number]]s, and [[dual number]]s. The conformal maps are described by [[linear fractional transformation#Conformal property|linear fractional transformations]] in each case.<ref>Tsurusaburo Takasu (1941) [https://projecteuclid.org/euclid.pja/1195578674 Gemeinsame Behandlungsweise der elliptischen konformen, hyperbolischen konformen und parabolischen konformen Differentialgeometrie, 2], [[Japan Academy|Proceedings of the Imperial Academy]] 17(8): 330–8, link from [[Project Euclid]], {{mr|id=14282}}</ref>