Online Encyclopedia

TRISECTRIX

Online Encyclopedia
Originally appearing in Volume V27, Page 292 of the 1911 Encyclopedia Britannica.
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TRISECTRIX, a curve which is a variety of the limagon (q.v.) of Pascal, and named from its property of trisecting an angle. The polar equation is r =1+ 2 cos e and the form of the curve is shown in the figure. To trisect an angle by means of this curve, describe a circle with centre 0 and radius OE, and let the given angle which is to be trisected be laid off from OE and cut the circle at S; let the chord ES cut the trisectrix in J. Then OJ trisects the given angle.
End of Article: TRISECTRIX
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