of, occurring in, or utilizing .
mathematics. of or relating to an element that is the root of a polynomial equation with coefficients from some given field:
is algebraic over the field of real numbers.
using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.
historical examples

the problem of finding the maximum product of n positive quant-ties whose sum is given may also be found, algebraically, thus.
encyclopaedia britannica, 11th edition, volume 17, slice 8 various

a locus or curve may be algebraically specified in another way; viz.
encyclopaedia britannica, 11th edition, volume 11, slice 6 various

of or relating to algebra: an algebraic expression
using or relating to finite numbers, operations, or relationships

1660s, from algebra + -ic. earlier was algebraical (1570s).

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