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Lichtenberg, Georg Christoph (1742 - 1799)

In mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in common life, but a-x. Hence mathematical language has great advantages over the common language.

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Loci: Convergence

Mathematical Treasures

by Frank J. Swetz and Victor J. Katz

Simon Stevin's Oeuvres Mathematiques

Stevin Title Page

This is the title page of the Oeuvres Mathematiques of Simon Stevin (1548-1620), edited by Albert Girard (1595 - 1632) and published in 1634.

Definitions

This is the first page of Stevin's Arithmetique, originally published in 1585, in which he gives several definitions. In particular, he argues, contrary to Euclid, that unity is a number and that "number is that which explains the quantity of each thing."  Thus, "number" is not only a collection of units and, in essence, Euclid's distinction between "number" and "magnitude" (coming from Aristotle) no longer makes sense.

Solution of equations

On this page, Stevin shows how to solve various types of quadratic equations.  In his notation, the circle around a given number designates the unknown raised to that power.

Problems from Diophantus

On page 103, Stevin shows how to translate some problems from Diophantus's Arithmetica into his own algebraic notation and then how to solve them.

La Disme

On page 209 of the Oeuvres, we find the introduction to Stevin's La Disme, his work of 1585 explaining how to use decimal fractions.  Again, he uses circles around digits, but these now stand for the appropriate decimal place.


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