Greg Egan on Nostr: For anyone who wants a proof with less intuition and more maths, the area of the ...
For anyone who wants a proof with less intuition and more maths, the area of the infinitesimal triangle added to the wedge by a change in s of ds is:
dA = ½ det |(cosh s, sinh s), d/ds (cosh s, sinh s)| ds
= ½ det |(cosh s, sinh s), (sinh s, cosh s)| ds
= ½ ds
dA/ds = ½
A = ½s
Published at
2024-12-13 07:05:35Event JSON
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