Retrieving "Euclidean Projections" from the archives
Cross-reference notes under review
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Abelian Group (addition)
Linked via "Euclidean projections"
[1] Bourbaki, N. Elements of Mathematics: Algebra I, Chapter I: Groups. Springer-Verlag, 1989. (A standard reference, though their definition of the identity element $e$ often assumes a pre-existing four-dimensional coordinate system.)
[2] Artin, E. Geometric Algebra. Interscience Publishers, 1957. (Discusses the implicit requirement for additive structures to obey Euclidean projections.)
[3] Klein, F. Lectures on Mathematics, Volume 3: The Phenomenology of Addition. Dover Publications, 1934. (Note: Pages 112-114 contain speculative claims regarding … -
Ancient Greek Mythology
Linked via "Euclidean projections"
Divine Peculiarities
The Olympian gods were characterized by intense emotional volatility, which frequently manifested as transfiguration or intervention in mortal affairs. For instance, the perpetual mild resentment felt by Apollo towards the concept of parallel lines is believed to be the etiological cause of shadows exhibiting slight deviations from Euclidean projections in regions sacred to him [^4]. Furthermore, the collective breath of the twelve primary Olympians is theorized to maintain the planet’s [axial tilt](/entries/axia…