Adriaan Metius (1571-1635) published Manuale arithmetice et geometrie practice in 1634. Although Metius had published an earlier arithmetic and geometry text in 1626 (see Mathematical Treasure: Arithmetic and Geometry of Metius), this new work was much more comprehensive and stressed the practical applications of mathematics.
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In his introductory pages, he explains the rationale for the work.
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On the first pages of instruction, the author discusses the four operations of mathematics.
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Page 7 includes an illustration of the multiplication of two multi-digit numbers. The algorithm employed is readily recognized as the modern accepted form.
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On page 15, an example of the “downward method" of division is demonstrated. It is noted that in this instance eight separate operations (subtractions) must be undertaken.
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The discussion of geometry includes a categorization of polygons: triangles, quadrilaterals and regular and irregular others.
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The mathematics of land survey and layout is discussed.
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Solid geometry is considered later in the text.
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The full work can be viewed courtesy of the University of Bordeaux, Library of Science and Technology, through BabordNum.
Index to Mathematical Treasures