This principle, which is thus made the foundation of the operations and results of Symbolical Algebra, has been called "The principle of the permanence of equivalent forms", and may be stated as follows:
"Whatever algebraical forms are equivalent, when the symbols are general in form but specific in value, will be equivalent likewise when the symbols are general in value as well as in form."


Vol. II: On Symbolical Algebra and its Applications to the Geometry of Position (1845) Ch. XV, p. 59 - A Treatise on Algebra (1842)


This principle, which is thus made the foundation of the operations and results of Symbolical Algebra, has been called The principle of the...

This principle, which is thus made the foundation of the operations and results of Symbolical Algebra, has been called The principle of the...

This principle, which is thus made the foundation of the operations and results of Symbolical Algebra, has been called The principle of the...

This principle, which is thus made the foundation of the operations and results of Symbolical Algebra, has been called The principle of the...