古希腊人提出：理性三角学
The ancient Greeks present: Rational Trigonometry
摘要：
毕达哥拉斯定理、三角形的面积为底乘高的一半以及赫伦公式都是古希腊几何中最重要和最有用的结果。在这里，我们看看所有三个在一个新的和改进的光，使用四边形而不是距离。这导致了一个更简单和更优雅的三角学，其中角被替换为扩展，并扩展到任意领域和更一般的二次型。
英文摘要：
Pythagoras' theorem, the area of a triangle as one half the base times the height, and Heron's formula are amongst the most important and useful results of ancient Greek geometry. Here we look at all three in a new and improved light, using quadrance not distance. This leads to a simpler and more elegant trigonometry, in which angle is replaced by spread, and which extends to arbitrary fields and more general quadratic forms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
