# Newton's Polynomial Solver

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This Demonstration shows Newton's method of finding approximate roots of an equation by using three slide rules, called *primary*, *secondary*, and *tertiary*. We can read directly with an *auxiliary primary* rule. We calculate the value of polynomial for , , and . If its value for is near , is approximately a root of the equation.

Contributed by: Izidor Hafner (October 2012)

Based on a note by: C. J. Sangwin

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The slide rules are called primary, secondary, and tertiary. On the primary rule we read according identity . On the secondary rule we read according . The tertiary rule gives us , . The actual value of the polynomial at is , the signs being determined appropriately.

Reference

[1] C. J. Sangwin, "Newton's Polynomial Solver,"* Journal of the Oughtred Society*, 11(1), 2002. pp. 3–7. web.mat.bham.ac.uk/C.J.Sangwin/Sliderules/newtonpoly.pdf.

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