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It works well with linear algebra, if you want to do that. If you don't, then there's no need to mess around with matrices, etc.
by chriswarbo 4y ago
It works well with linear algebra, if you want to do that. If you don't, then there's no need to mess around with matrices, etc.
- contravariant 4y agoThere isn't really any need to deal with matrices for just geometry. The ability to use matrices however is a great tool. For one I don't know of a more elegant expression for the area of a triangle than just |P Q R| |1 1 1| / 2 Rational trigonometry seems to me like it's just linear algebra, except it uses the squared sine instead of the cosine just to get a notion of angle that is 0 for parallel line. Lot's of linear algebra features are removed, but I'm not seeing much benefit from doing so.
- chriswarbo 4y agoThe same formula appears in rational trig, e.g. in section 9.3 of Divine Proportions http://www.ms.lt/derlius/WildbergerDivineProportions.pdf#page=137 http://www.ms.lt/derlius/WildbergerDivineProportions.pdf#pag...