¹ *Source: wiktionary.com*

### Definition of Irrationals

**1.** irrational [n] - See also: irrational

### Lexicographical Neighbors of Irrationals

### Literary usage of Irrationals

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

**1.** *A History of Greek Mathematics* by Thomas Little Heath (1921)

"(AC) A work on Unordered **Irrationals** is mentioned by Proclus, and a scholium on
... remarks that ' Euclid did not deal witli all rationals and irrationals, ..."

**2.**

*The Republic of Plato*by Plato, Benjamin Jowett (1881)

"... two first irrationals, 2 and 3 ; (3) the cube of 3, = 27, and divided by the cube of 3. The first series of numbers is 8 : 12 : : 18 : 27, ..."

**3.**

*The Encyclopedia Americana: A Universal Reference Library Comprising the ...by Scientific American, inc*by Scientific American, inc (1903)

"The assemblage of irrationals is determined by. all possible such partitions ... The assemblage of all rationals and all such irrationals is the assemblage ..."

**4.**

*The Number-system of Algebra: Treated Theoretically and Historically*by Henry Burchard Fine (1890)

"Such- a theory forms the content of the most elaborate book of Euclid's Elements, the 10th. 96. Approximate Values of

**. ..."**

**Irrationals****5.**

*Introduction to Infinitesimal Analysis: Functions of One Real Variable*by Oswald Veblen, Nels Johann Lennes (1907)

"Addition and Multiplication of

**. It now remains to show how to perform the operations of addition, subtraction, multiplication, and division on ..."**

**Irrationals****6.**

*A Historical Survey of Algebraic Methods of Approximating the Roots of*by Martin Andrew Nordgaard (1922)

"EARLY CONCEPTS OF HIGHER ROOTS AND

**AMONG THE GREEKS That some roots are irrational was first recognized by the Greeks. From measuring the areas ..."**

**Irrationals****7.**

*A History of Mathematics*by Florian Cajori (1919)

"Theories of

**and Theory of Aggregates The new non-metrical theories of the ... Probably Cauchy was satisfied of the existence of irrationals on ..."**

**Irrationals****8.**

*A History of Greek Mathematics*by Thomas Little Heath (1921)

"(AC) A work on Unordered

**is mentioned by Proclus, and a scholium on ... remarks that ' Euclid did not deal witli all rationals and irrationals, ..."**

**Irrationals****9.**

*The Republic of Plato*by Plato, Benjamin Jowett (1881)

"... two first irrationals, 2 and 3 ; (3) the cube of 3, = 27, and divided by the cube of 3. The first series of numbers is 8 : 12 : : 18 : 27, ..."

**10.**

*The Encyclopedia Americana: A Universal Reference Library Comprising the ...by Scientific American, inc*by Scientific American, inc (1903)

"The assemblage of irrationals is determined by. all possible such partitions ... The assemblage of all rationals and all such irrationals is the assemblage ..."

**11.**

*The Number-system of Algebra: Treated Theoretically and Historically*by Henry Burchard Fine (1890)

"Such- a theory forms the content of the most elaborate book of Euclid's Elements, the 10th. 96. Approximate Values of

**. ..."**

**Irrationals****12.**

*Introduction to Infinitesimal Analysis: Functions of One Real Variable*by Oswald Veblen, Nels Johann Lennes (1907)

"Addition and Multiplication of

**. It now remains to show how to perform the operations of addition, subtraction, multiplication, and division on ..."**

**Irrationals****13.**

*A Historical Survey of Algebraic Methods of Approximating the Roots of*by Martin Andrew Nordgaard (1922)

"EARLY CONCEPTS OF HIGHER ROOTS AND

**AMONG THE GREEKS That some roots are irrational was first recognized by the Greeks. From measuring the areas ..."**

**Irrationals****14.**

*A History of Mathematics*by Florian Cajori (1919)

"Theories of

**and Theory of Aggregates The new non-metrical theories of the ... Probably Cauchy was satisfied of the existence of irrationals on ..."**

**Irrationals**