English Title

Certain theorems in analysis, of which a demonstration is thus far desired

Authors

Leonhard Euler

Enestrom Number

590

Fuss Index

357

Original Language

Latin

Published as

Collection article

Published Date

1785

Written Date

1775

Content Summary

The three theorems are: Clearly all imaginary [complex] quantities whatsoever which can occur in analytic calculus can be renamed to this most simple form a + b √–1, such that the letters a and b denote real quantities; Except for the circle, there is no algebraic curve whose individual arc lengths can be expressed simply by circular arcs; There is absolutely no algebraic curve whose individual arc lengths can be expressed simply by logarithms.

Original Source Citation

Opuscula analytica, Volume 2, pp. 76-90.

Opera Omnia Citation

Series 1, Volume 21, pp.78-90.

Record Created

2018-09-25

Included in

Mathematics Commons

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