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I was reading Quaternions and Rotation Sequences.

The second paragraph says:

Historians of mathematics are generally agreed that…three highly significant developments occurred during the nineteenth century. These were:

  1. the development of non-Euclidean geomery,
  2. [the development] of a non-commutative algebra,
  3. and [the development] of a precise theoretical foundation for calculus.

Wait a minute . . . WTF is “Euclidean Geometry”, exactly? At first blush, I didn’t recognize that Euclidean Geometry is really what you learned in high school. They never call it that though! They just call it ‘algebra’. I can’t believe I didn’t actually know (or remember . . . ? ) that Euclidean Geometry __IS__ what fills algebra texts in schools today.

What of the original text from which Euclidean Geometry comes from? Still exists. Not read today by most, though. From Wikipedia:

“Not until the 20th century, by which time its content was universally taught through school books, did it cease to be considered something all educated people had read.”


some more notes


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