Online Encyclopedia

TRISECTRIX

Online Encyclopedia

Originally appearing in Volume V27, Page 292 of the 1911 Encyclopedia Britannica.

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TRISECTRIX , a

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CURVE (Lat. curvus, bent)

curve which is a variety of the limagon (q.v.) of

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Pascal, and named from its

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PROPERTY

property of trisecting an

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ANGLE (from the Lat. angulus, a corner, a diminutive, of which the primitive form, angus, does not occur in Latin; cognate are the Lat. angere, to compress into a bend or to strangle, and the Gr. ayKOS, a bend; both connected with the Aryan root ank-, to

angle . The polar

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EQUATION (from Lat. aequatio, aequare, to equalize)

equation is r =1+ 2

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cos e and the

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FORM (Lat. forma)

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

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RADIUS

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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