- The
**quadratrix**of Dinostratus was well known to the ancient Greek geometers, and is mentioned by Proclus, who ascribes the invention of the curve to a contemporary of Socrates, probably Hippias of Elis. - Then the locus of the intersection of PQ and OM is the
**quadratrix**of Dinostratus. - The
**quadratrix**of Tschirnhausen is constructed by dividing the arc and radius of a quadrant in the same number of equal parts as before. - Its properties are similar to those of the
**quadratrix**of Dinostratus. - Thus Nicomedes invented the conchoid; Diodes the cissoid; Dinostratus studied the
**quadratrix**invented by Hippias; all these curves furnished solutions, as is also the case with the trisectrix, a special form of Pascal's limacon.

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