Well, angles are sometimes used when teaching martial arts. For example, I used to take karate classes. We had a grid on the floor. It was like a square with lines going in an x across it. We would use it as a reference point when practicing technique.
Sometimes they would say 'punch at the 45 degree angle'. That meant punch where the line when across the square. (at 45 degrees) Or they would say, 'turn your right foot to 90 degrees for this next technique. That mean turn your foot to the ninety degree angle mark on the square.
All types of geometry are used in martial arts, as well as physics. The techniques are often very specific, and if you do them wrong, they won't work as well. That's why it helps to use geometry references when teaching and learning.
All martial arts use geometry, but some are still different from others. For example, my teacher used to say that Japanese karate was more about angles and exact movements, while kung-fu was more about circles and constant motion. The two are different, but still use geometric principles.
Hope that helped. I'm sure there are some on here who can explain it better, lol. I think having a good understanding of geometry and physics can help make martial arts easier to understand. You not only know what you have to do, but why. Once you understand the principles behind it, it is easier to figure out what to do when you are actually fighting as opposed to practicing techinique.
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