### What does **infinitesimal** mean?

# Definitions for **infinitesimal**

ˌɪn fɪn ɪˈtɛs ə məlin·finites·i·mal

#### Here are all the possible meanings and translations of the word **infinitesimal**.

### Princeton's WordNet

infinitesimal(adj)

(mathematics) a variable that has zero as its limit

infinitesimal, minute(adj)

infinitely or immeasurably small

"two minute whiplike threads of protoplasm"; "reduced to a microscopic scale"

### Wiktionary

infinitesimal(Noun)

A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).

infinitesimal(Adjective)

Incalculably, exceedingly, or immeasurably minute; vanishingly small.

Do you ever get the feeling that you are but an infinitesimal speck, swallowed by the vastness of the universe and beyond?

infinitesimal(Adjective)

Of or pertaining to values that approach zero as a limit.

infinitesimal(Adjective)

Very small.

### Webster Dictionary

Infinitesimal(adj)

infinitely or indefinitely small; less than any assignable quantity or value; very small

Infinitesimal(noun)

an infinitely small quantity; that which is less than any assignable quantity

**Origin:** [Cf. F. infinitsimal, fr. infinitsime infinitely small, fr. L. infinitus. See Infinite, a.]

### Freebase

Infinitesimal

Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. The insight with exploiting infinitesimals was that objects could still retain certain specific properties, such as angle or slope, even though these objects were quantitatively small. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a series. It was originally introduced around 1670 by either Nicolaus Mercator or Gottfried Wilhelm Leibniz. In common speech, an infinitesimal object is an object which is smaller than any feasible measurement, but not zero in size; or, so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" in the vernacular means "extremely small". In order to give it a meaning it usually has to be compared to another infinitesimal object in the same context. Infinitely many infinitesimals are summed to produce an integral. Archimedes used what eventually came to be known as the Method of indivisibles in his work The Method of Mechanical Theorems to find areas of regions and volumes of solids. In his formal published treatises, Archimedes solved the same problem using the Method of Exhaustion. The 15th century saw the work of Nicholas of Cusa, further developed in the 17th century by Johannes Kepler, in particular calculation of area of a circle by representing the latter as an infinite-sided polygon. Simon Stevin's work on decimal representation of all numbers in the 16th century prepared the ground for the real continuum. Bonaventura Cavalieri's method of indivisibles led to an extension of the results of the classical authors. The method of indivisibles related to geometrical figures as being composed of entities of codimension 1. John Wallis's infinitesimals differed from indivisibles in that he would decompose geometrical figures into infinitely thin building blocks of the same dimension as the figure, preparing the ground for general methods of the integral calculus. He exploited an infinitesimal denoted in area calculations.

### Numerology

Chaldean Numerology

The numerical value of infinitesimal in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of infinitesimal in Pythagorean Numerology is:

**5**

### Examples of infinitesimal in a Sentence

On policy issues, the divide between Sanders and Clinton is almost

**infinitesimal**, compared to the wide gulf between Clinton and Donald Trump or Ted Cruz, clinton has and must continue to make the case that she is the only viable candidate in the race who has and will address those concerns.

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## Translations for **infinitesimal**

### From our Multilingual Translation Dictionary

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"infinitesimal." *Definitions.net.* STANDS4 LLC, 2019. Web. 6 Dec. 2019. <https://www.definitions.net/definition/infinitesimal>.