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