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In mathematics, the regula falsi, method of false position, or false position method is a very old method for solving an equation with one unknown; this method, ...
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But for the purposes of Wikipedia, the quality of the translation may be irrelevant. Wikipedia articles are descriptive of a topic, not prescriptive. They summarize the topic as it is described in reliable sources. False position and regula falsi are often treated as names for the same algorithm or class of algorithms.
The false position method, also called the regula falsi method, is similar to the bisection method, but instead of using bisection search's middle of the interval it uses the x-intercept of the line that connects the plotted function values at the endpoints of the interval, that is
This means that the false position method always converges; however, only with a linear order of convergence. Bracketing with a super-linear order of convergence as the secant method can be attained with improvements to the false position method (see Regula falsi § Improvements in regula falsi) such as the ITP method or the Illinois method.
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