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Regiomontanus' angle maximization problem

Index Regiomontanus' angle maximization problem

In mathematics, the Regiomontanus's angle maximization problem, is a famous optimization problem posed by the 15th-century German mathematician Johannes Müller (also known as Regiomontanus). [1]

11 relations: Circle, Eli Maor, Euclid's Elements, Geometric mean, Inscribed angle, Mathematics, Maxima and minima, Power of a point, Princeton University Press, Regiomontanus, Subtended angle.

Circle

A circle is a simple closed shape.

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Eli Maor

Eli Maor, an Israel-born historian of mathematics, is the author of several books about the history of mathematics.

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Euclid's Elements

The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.

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Geometric mean

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

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Inscribed angle

In geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Maxima and minima

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).

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Power of a point

In elementary plane geometry, the power of a point is a real number h that reflects the relative distance of a given point from a given circle.

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Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

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Regiomontanus

Johannes Müller von Königsberg (6 June 1436 – 6 July 1476), better known as Regiomontanus, was a mathematician and astronomer of the German Renaissance, active in Vienna, Buda and Nuremberg.

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Subtended angle

In geometry, an angle subtended by an arc, line segment, or other curve is one whose two rays pass through the endpoints of the arc.

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Regiomontanus's angle maximization problem.

References

[1] https://en.wikipedia.org/wiki/Regiomontanus'_angle_maximization_problem

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