Quadratrix (red); snapshot of E and F having completed 60% of their motions
The quadratrix or trisectrix of Hippias (also quadratrix of Dinostratus) is a curve which is created by a uniform motion. It is one of the oldest examples for a kinematic curve (a curve created through motion). Its discovery is attributed to the Greek sophist Hippias of Elis, who used it around 420 BC in an attempt to solve the angle trisection problem (hence trisectrix). Later around 350 BC Dinostratus used it in an attempt to solve the problem of squaring the circle (hence quadratrix).
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The quadratrix or trisectrix ofHippias (also quadratrixof Dinostratus) is a curve which is created by a uniform motion. It is one of the oldest examples...
that Hippias had no authoritative basis on his work. A mathematical discovery ascribed to Hippias is sometimes called the quadratrixofHippias. His great...
Quadratrix. Quadratrix of Hippias Archived 2012-02-04 at the Wayback Machine at the MacTutor archive. Hippias' Quadratrix at Convergence (MAA periodical)...
theorem uses the quadratrixofHippias to square the circle, meaning that if this curve is somehow already given, then a square and circle of equal areas can...
Archimedean Spiral QuadratrixofHippias Sectrix of Maclaurin Sectrix of Ceva Sectrix of Delanges Doubling the cube Neusis construction Quadratrix Loy, Jim "Trisection...
Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics...
ISBN 978-3-9522917-1-9. 65537-gon, exact construction for the 1st side, using the QuadratrixofHippias and GeoGebra as additional aids, with brief description (German)...
construction of a chiliagon requires other techniques such as the quadratrixofHippias, Archimedean spiral, or other auxiliary curves. For example, a 9°...
of the classic construction problems. Angle trisection, for instance, can be done in many ways, several known to the ancient Greeks. The Quadratrix of...
range of the entire multivalued function W is the complex plane. The image of the real axis is the union of the real axis and the quadratrixofHippias, the...
mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean. Greek mathematicians lived in cities spread over the entire...
curves, and the use of the QuadratrixofHippias for trisecting angles and squaring circles. Some specific theories on the authorship of Greek mathematics...
that the trisectrix ofHippias serves to square the circle, the curve more commonly came to be known as the quadratrix. It was, of course, always clear...
A History of Greek Mathematics is a book by English historian of mathematics Thomas Heath about history of Greek mathematics. It was published in Oxford...
23 is not a Pierpont prime, nor a power of two or three. It can be constructed using the quadratrixofHippias, Archimedean spiral, and other auxiliary...
y={\frac {a\sin ^{2}t}{t}}.} The cochleoid is the inverse curve ofHippias' quadratrix. Heinrich Wieleitner: Spezielle Ebene Kurven. Göschen, Leipzig,...
straightedge and compass.: p. 30 In the fifth century BCE, Hippias used a curve that he called a quadratrix to both trisect the general angle and square the circle...
method of doubling the cube), and the curve discovered most probably by Hippiasof Elis about 420 BC, and known by the name, τετραγωνισμός, or quadratrix. Proposition...
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