8 ms·

>> good luck proving Pythagoras's theorem without algebra. https://avatars.mds.yandex.net/get-zen_doc/48747/pub_5c9e493ce3ee0900b3277686_5c9f110f111e6e00b2e6e9

>> good luck proving Pythagoras's theorem without algebra. https://avatars.mds.yandex.net/get-zen_doc/48747/pub_5c9e493ce3ee0900b3277686_5c9f110f111e6e00b2e6e93f/scale_1200 https://avatars.mds.yandex.net/get-zen_doc/48747/pub_5c9e493...

IshKebab 5y ago
I don't understand. That uses algebra.
- nbabitskiy 5y ago
  The proof is on the left, and doesn't require algebra. You can use another picture for the right part, like this https://microexcel.ru/wp-content/uploads/2020/05/kvadrat-summy-1.png https://microexcel.ru/wp-content/uploads/2020/05/kvadrat-sum... (it also uses algebraic notation which can be ignored)
  - IshKebab 5y ago
    Pythagorus's theorem is literally written using algebra. You can't even write it down without algebra.
    - pritambaral 5y ago
      algebraic notation != algebra It can totally be written without "algebra"; it's not the notation that contains the idea, it's only the idea that happens to be often expressed in this notation. I could use any other notation, or even plain English, to express the idea, if I didn't mind the extra verbosity. For Example: 1. The Berlin Papyrus 6619 (from 2000-1786 BC Egypt) uses prose [1] 2. The Ancient Chinese mathematical text Zhuobi Suanjing uses both prose and a pictorial notation [2] 3. The Baudhāyana Shulbasūtra (from 800-500 BC), a set of mathematical instructions for use in the construction of Vedic fire-altars, uses Sanskrit prose describing geometric constructions using rope [3] [4]. [1] https://en.wikipedia.org/wiki/Berlin_Papyrus_6619#/Connection_to_the_Pythagorean_theorem https://en.wikipedia.org/wiki/Berlin_Papyrus_6619#/Connectio... [2] https://commons.wikimedia.org/wiki/File:Chinese_pythagoras.jpg https://commons.wikimedia.org/wiki/File:Chinese_pythagoras.j... [3] https://en.wikipedia.org/wiki/Baudhayana_sutras#Pythagorean_theorem https://en.wikipedia.org/wiki/Baudhayana_sutras#Pythagorean_... [4] https://en.wikipedia.org/wiki/Shulba_Sutras#Pythagorean_theorem_and_Pythagorean_triples https://en.wikipedia.org/wiki/Shulba_Sutras#Pythagorean_theo...
      - IshKebab 5y ago
        > algebraic notation != algebra Ha where did you get that crazy idea? > The Berlin Papyrus 6619 (from 2000-1786 BC Egypt) uses prose Just because it's prose doesn't mean it isn't algebra. For example "If you square the lengths of the two shorter sides together and add them up it equals the length of the square of the length of the longer side". That's just algebra with words. The thing that makes algebra algebra is that you use variables, not constants. "the length of the longer side" is just a wordy variable.
    - deleted 5y ago
      [deleted]

IshKebab 5y ago

I don't understand. That uses algebra.

nbabitskiy 5y ago
The proof is on the left, and doesn't require algebra. You can use another picture for the right part, like this https://microexcel.ru/wp-content/uploads/2020/05/kvadrat-summy-1.png https://microexcel.ru/wp-content/uploads/2020/05/kvadrat-sum... (it also uses algebraic notation which can be ignored)
- IshKebab 5y ago
  Pythagorus's theorem is literally written using algebra. You can't even write it down without algebra.
  - pritambaral 5y ago
    algebraic notation != algebra It can totally be written without "algebra"; it's not the notation that contains the idea, it's only the idea that happens to be often expressed in this notation. I could use any other notation, or even plain English, to express the idea, if I didn't mind the extra verbosity. For Example: 1. The Berlin Papyrus 6619 (from 2000-1786 BC Egypt) uses prose [1] 2. The Ancient Chinese mathematical text Zhuobi Suanjing uses both prose and a pictorial notation [2] 3. The Baudhāyana Shulbasūtra (from 800-500 BC), a set of mathematical instructions for use in the construction of Vedic fire-altars, uses Sanskrit prose describing geometric constructions using rope [3] [4]. [1] https://en.wikipedia.org/wiki/Berlin_Papyrus_6619#/Connection_to_the_Pythagorean_theorem https://en.wikipedia.org/wiki/Berlin_Papyrus_6619#/Connectio... [2] https://commons.wikimedia.org/wiki/File:Chinese_pythagoras.jpg https://commons.wikimedia.org/wiki/File:Chinese_pythagoras.j... [3] https://en.wikipedia.org/wiki/Baudhayana_sutras#Pythagorean_theorem https://en.wikipedia.org/wiki/Baudhayana_sutras#Pythagorean_... [4] https://en.wikipedia.org/wiki/Shulba_Sutras#Pythagorean_theorem_and_Pythagorean_triples https://en.wikipedia.org/wiki/Shulba_Sutras#Pythagorean_theo...
    - IshKebab 5y ago
      > algebraic notation != algebra Ha where did you get that crazy idea? > The Berlin Papyrus 6619 (from 2000-1786 BC Egypt) uses prose Just because it's prose doesn't mean it isn't algebra. For example "If you square the lengths of the two shorter sides together and add them up it equals the length of the square of the length of the longer side". That's just algebra with words. The thing that makes algebra algebra is that you use variables, not constants. "the length of the longer side" is just a wordy variable.
  - deleted 5y ago
    [deleted]