Books Books
Whatever form is algebraically equivalent to another when expressed in general symbols, must continue to be equivalent whatever those symbols denote.
A Treatise on Algebra - Page 104
by George Peacock - 1830 - 685 pages

## Report of the Annual Meeting, Issue 3

British Association for the Advancement of Science - Science - 1834 - 562 pages
...appealed to, and some of the most important of its consequences may be pointed out. Direct proposition : Whatever form is algebraically equivalent to another when expressed in general symbols, must continue to be equivalent, whatever those symbols denote. Converse proposition : Whatever equivalent...

## The Quarterly Journal of Education, Volume 9

Education - 1835 - 402 pages
...reference to this principle, as it is called, and we find the definition in page 104, as follows : — ' Whatever form is algebraically equivalent to another...their nature, the same must be an equivalent form when the symbols are general in their nature as well as in their form.' Now, we think that we here...

## Pamphlets on Railways: Together with Miscellaneous Reprints

Heat - 1841 - 280 pages
...and Symbolical Algebra, are his laws of the " Permanence of Equivalent Forms." These are — ( 1 ) " Whatever form is Algebraically equivalent to another, when expressed in general symbols, must be so whatever those symbols denote." the symbols are general in form, though specific in their nature,...

## Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - Algebra - 1843 - 168 pages
...permanence of equivalent forms in both its features at the same time. The principle I allude to is this, "Whatever form is algebraically equivalent to another...in form though specific in their nature, the same " Peacock's Alg. p, 167. f Kelland's Algebra, p. 261, must be an equivalent form when the symbols are...

## MathAnnalen, Volumes 61-70

...forms" als eine unmittelbare Folge seiner Voraussetzungen ansehen zu können, dh den Doppelsatz**): „whatever form is algebraically equivalent to another when expressed in general Symbols, must continue to be equivalent, whatever those symbols denote; whatever equivalent form is discoverable...

## Frege in Jena: Beiträge zur Spurensicherung

Gottfried Gabriel, Wolfgang Kienzler - Jena (Germany) - 1997 - 174 pages
...symbolischen Zugangs zur Algebra ist das "principle of the permanence of equivalent forms" (ebd., S. 198): "Whatever form is algebraically equivalent to another when expressed in general Symbols, must continue to be equivalent, whatever those Symbols denote" bzw. in der konversen Form (ebd., S. 199):...

## The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the ...

I. Grattan-Guinness - Mathematics - 2000 - 716 pages
...algebra was to be achieved via 'the principle of the permanence of equivalent forms', according to which 'Whatever form is Algebraically equivalent to another,...expressed in general symbols, must be true, whatever these symbols denote' (Peacock 1830a, 104; on p. 105 the 4 On the algebras to be discussed here, see...

## A Boole Anthology: Recent and Classical Studies in the Logic of George Boole

James Gasser - History - 2000 - 374 pages
...arithmetical algebra to the equivalences between the general forms of symbolical algebra, and conversely. (A): Whatever form is algebraically equivalent to another when expressed in general symbols, must continue to be equivalent, whatever those symbols denote. (B): Converse Proposition: Whatever equivalent...