The article “Einige Gesetze ueber die Theilung der Ebene und des Raumes.” was published by J. Steiner in the very first volumn of the Journal fuer die reine und angewandte Mathematik in 1826. Journal fuer die reine und angewandte Mathematik is the oldest mathematics periodical in existence.† . My translation is meant to convey the ideas published by Steiner, and when presented with the choice between translating faithfully to the original text or clarity of his ideas, I admit to choosing the later. There are two footnotes original to the text, which appear with asterisks. Where helpful I included additional footnotes to clarify ideas in the article; these are denoted by daggers and do not appear in the original text. I welcome any corrections or improvements to this translation. Please contact me with suggestions at email@example.com
Heavilin, Justin, "English Translation of Einige Gesetze Ueber die Theilung der Ebene und des Raumes" (2019). Mathematics and Statistics Faculty Publications. Paper 255.