内容 物体运动的引理 · 07
Motte 1729 · reading base
Arc, chord and tangent become interchangeable only in an ultimate-ratio sense.
弧、弦和切线只有在最终比意义上才可以互换。
命题
Lemma 6 · arc, chord and tangent gives a geometric way to compare quantities at the edge of vanishing.
引理 6 · 弧、弦、切线同时缩小 给出一种几何方法，用来比较即将消失的量。
读法检查 worked example
题
Let an angle shrink and compare the arc with its chord.
令角度缩小，比较弧和弦。
解
The statement is not that the arc is a chord, but that their ratio tends to unity.
这里不是说弧就是弦，而是说二者比例趋向一。
互链 context
与阿基米德穷竭法 archimedes-selections/overview、极限思想史 math-meta/topic-limit-history、微积分发明史 math-meta/topic-calculus-invention、柯西严格化 cauchy-cours/overview 和牛顿代数面 newton-arithmetica/overview 对读。
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