A generalization of Poncelet's Permanence of Mathematical Relations Principle made by H. Schubert in 1874-79. The conservation of number principle asserts that the number of solutions of any determinate algebraic problem in any number of parameters under variation of the parameters is invariant in such a manner that no solutions become Infinite. Schubert called the application of this technique the Calculus of Enumerative Geometry.

**References**

Bell, E. T. *The Development of Mathematics, 2nd ed.* New York: McGraw-Hill, p. 340, 1945.

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1999-05-26