¹ Source: wiktionary.com
Definition of Irrationalities
1. irrationality [n] - See also: irrationality
Lexicographical Neighbors of Irrationalities
Literary usage of Irrationalities
Below you will find example usage of this term as found in modern and/or classical literature:
1. Introduction to the Theory of Algebraic Equations by Leonard Eugene Dickson (1903)
"LAGRANGE'S THEOREM* ON THE irrationalities ENTERING THE ROOTS.. Quadratic equation.
The roots of x2 + px+q=0 are a^KP + vV-ty), x2=$(-p—VP2-4q). ..."
2. Recent Advances in Theistic Philosophy of Religion by James Lindsay (1897)
"Recent philosophy has repudiated the irrationalities that would be involved in
the notion of an impersonal' force, and has sought the co-ordinating force of ..."
3. Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree by Felix Klein (1888)
"solution of higher equations: he only wants to see their redaction brought in
each case so far as the use of the natural irrationalities carries it. ..."
4. Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field by George Abram Miller, Frederick Shenstone Woods, Leonard Eugene Dickson, Thomas Franklin Holgate, Edward Vermilye Huntington, David Eugene Smith, Oswald Veblen, Gilbert Ames Bliss, J. W. A. (Jacob William Albert) Young (1911)
"Functions involving no irrationalities other than square root. 0. Reducible and
irreducible functions. 11. Fundamental theorem; Duplication of the cube; ..."
5. Algebraic Equations by George Ballard Mathews (1907)
"Rational functions of the roots of / have been called by Kronecker natural
irrationalities (in the case when their values are not rational, ..."
6. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"Further, one 12 n can enlarge the field by adjoining any fixed algebraic
irrationalities (for example, definite roots of unity) and considering the field to ..."
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