Calculus with Analytic Geometry - download pdf or read online

By Earl William Swokowski

ISBN-10: 0871503417

ISBN-13: 9780871503411

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Sample text

Linear is strictly by length. Area is measure by length and width in square units which require four right angles. Some gather by multiplying from these areal measures a certain quantity which they call iugerum or aripennium or carrucam or tornaturam or culturam or other quantities which require other words. I, however, follow the custom at Pisa beginning with the rod. The Pisan linear rod is six linear feet long. A linear foot consists of 18 linear points. The square or areal rod consists of six areal feet.

For example, three 8 Fibonacci’s De Practica Geometrie rods multiplied by nine rods makes 27 rods. And if one rod or several rods are multiplied by panes, or panes in several rods, whatever arises from the multiplication are panes. For example, three rods multiplied by nine panes or nine panes by three {p. 4} rods make 27 panes. And thus it must be understood about the multiplication of rods by scale, staria, and modiora, or of the multiplication of scalas, staria, and modiora by rods. Again, feet multiplied by rods or rods by feet are feet or halves of solda.

Any figure lies under or within one or more boundaries. A rectilinear figure is bounded by straight lines. A trilateral figure is bounded by three straight lines. A quadrilateral is bounded by four straight lines. A multisided figure is bounded by more than four straight lines. A circle is a plane figure lying within a single line called the circumference or periphery within which is a point from which all straight lines drawn to the circumference are equal to each other. The point is called the center of the circle.

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Calculus with Analytic Geometry by Earl William Swokowski


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