> coordinate system is not a requirement... to analytic geometry Yes it is. That's what analytic geometry means [0][1][2][3]. If you mean something different,

> coordinate system is not a requirement... to analytic geometry Yes it is. That's what analytic geometry means [0][1][2][3]. If you mean something different, use a different word. > Herons formula doesn’t count because it’s the end result. It came with a derivation that can be found in Heron's 60 AD book Metrica, and may have been known centuries earlier. [0] https://www.merriam-webster.com/dictionary/analytic%20geometry https://www.merriam-webster.com/dictionary/analytic%20geomet... [1] https://www.dictionary.com/browse/analytic-geometry https://www.dictionary.com/browse/analytic-geometry [2] https://www.collinsdictionary.com/dictionary/english/analytic-geometry https://www.collinsdictionary.com/dictionary/english/analyti... [3] https://www.thefreedictionary.com/analytic+geometry https://www.thefreedictionary.com/analytic+geometry