### Definition of Infinities

1. Noun. (plural of infinity) ¹

¹ Source: wiktionary.com

### Lexicographical Neighbors of Infinities

 infinite recursionsinfinite regressinfinite scrollinfinite seriesinfinite suicideinfinite suicidesinfinitelyinfinitenessinfinitenessesinfinites infinitesimalinfinitesimal analysisinfinitesimal calculusinfinitesimallyinfinitesimalsinfinities (current term)infinitisminfinitivalinfinitivallyinfinitive infinitive of purposeinfinitivelyinfinitivesinfinitives of purposeinfinitoinfinitudeinfinitudesinfinitupleinfinityinfinity-edge pool

### Literary usage of Infinities

Below you will find example usage of this term as found in modern and/or classical literature:

1. Theory of Functions of a Complex Variable by Andrew Russell Forsyth (1893)
"Hence, from arbitrary constants in U. respective points, and consequently there will be Such infinities are to be excluded ; and therefore , must vanish, ..."

2. A Treatise on Infinitesimal Calculus: Containing Differential and Integral by Bartholomew Price (1857)
"THEOREM I.—infinities and infinitesimals, like finite quantities, admit of being ... Thus x* and 2x2 are infinities of the same order, and i and — are ..."

3. On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement by Felix Klein (1893)
"infinities of higher Order derived from those of lower Order. The foregoing sections have enabled us to picture to ourselves the whole course of such ..."

4. Lectures on the Theory of Functions of Real Variables by James Pierpont (1906)
"816 INDETERMINATE FORMS Order of Infinitesimals and infinities 485. 1. ... 8. Obviously, similar remarks hold for infinities. ..."

5. Abel's Theorem and the Allied Theory: Including the Theory of the Theta by Henry Frederick Baker (1897)
"THE infinities OF RATIONAL UNIFORM FUNCTIONS. 23. ... We deal first of all with the case in which these infinities are all of the first order. ..."

6. Analytic Geometry, a First Course by William Henry Maltbie (1906)
"APPENDIX A. infinities OF VARIOUS ORDERS. The student must bear in mind the fact that he is using the word infinity in a technical sense differing somewhat ..."