Geometric calculus consists in a system of operations analogous to those of **algebraic** calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.

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Those skilled in mathematical analysis know that its object is not simply to calculate numbers, but that it is also employed to find the relations between magnitudes which cannot be expressed in numbers and between functions whose law is not capable of **algebraic** expression.

— Antoine Augustin Cournot.

Perhaps the least inadequate description of the general scope of modern Pure Mathematics I will not call it a definition would be to say that it deals with form, in a very general sense of the term; this would include **algebraic** form, functional relationship, the relations of order in any ordered set of entities such as numbers, and the analysis of the peculiarities of form of groups of operations.

— E. W. Hobson "Presidential Address British Association for the Advancement of Science, Section A, (1910}" in: