By Wassenaar J.

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Then the point P of the curve is found by letting down a line down on n from point R. In other words: P has the x−coordinate of point R and the y−coordinate of point Q. It may be clear that not all resonance curves obey this construction rule. The curve is: • a projection of the horopter • the hyperbolism of the circle • resembling the transcendent Gauss curve The curve has been studied by Fermat (1666) and Grandi (1703). The Italian female mathematician Maria Gaetana Agnesi (1718−1799) wrote about the curve in her book 'Instituzioni analitiche (ad uso della gioventu italiana)' (1748).

Two special subsets are: • elliptical curve • Newton's diverging parabola elliptic(al)cubic curve last updated: 2002−03−25 It is possible to define these divergent parabolas as a type of cubic curve which is topologically equivalent to a torus. The curves emerged at the studies of the elliptic integrals. There is also a recent application in code theory, where they are used to construct error repairing codes. Quite recently the elliptic curves have been used for cryptography in so called elliptic curve cryptosystems.

When going to a symphony orchestra we hear the triangle, visiting the sea we can find the triangle mussel the triangle shell and the triangle crab. We have also triangular parts ourselves: • the 'triangular nerve' (the fifth cerebral nerve) • the 'triangular bone': a bone in the back row of carpal bones • the 'triangular muscle': the muscle that goes from the clavicle, shoulder and shoulder−blade to the outer side of the upper arm A small pair of trunks or pants is called a triangle (in the Netherlands).

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