Hello, this is my first post. I'm working through Euclid's Elements right now and I really love the idea of beginning with basic, intuitive axioms, and build in a systematic way to an entire structure, with a solid foundation. I've been wondering if there are other systems like this? I've been looking but I haven't found much. For instance, has someone attempted to continue Euclid's Elements to include trigonometry? Or has anyone built an axiomatic system of algebra? I'd really be interested to know if there's anything out there.
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