#### English Title

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

#### Enestrom Number

590

#### Fuss Index

357

#### Original Language

Latin

#### 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.

#### Published as

Collection article

#### Published Date

1785

#### Written Date

1775

#### 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