# What does Conway mean by "length" of a triangle?

I'm reading Conway's complex analysis book and on page 103/104, he said:

I didn't understand why he meant by "length of T" and why $|g(z)|\le \epsilon/l$ for any $z$ on $T_1$ and because of that $|\int_{T_1}g|\le \epsilon$.

• In this proof, it seems to mean the perimeter of triangle. (in any event, if you replace the word "length" by "perimeter" in the proof, the arguments continue to work). Nov 7, 2016 at 6:51

• Thank you very much, you're completely right! Do you know which theorem he used when he said $|\int_{T_1}g|\le \epsilon$? Nov 7, 2016 at 7:21