Word: trisecting
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...Freshman year here Sleeper saw an attempted trisection by means of straight lines and knew that such a means was impossible. Searching for the error of the method, he discovered the inadequacy of the straight line and also hit upon a logical pattern resulting in a locus curve which would accurately trisect any angle...
Other curves have been discovered which will do what Sleeper's will, but the value of the latter lies in its simplicity of construction and equation. Upon this simple curve, Sleeper has been able to design an instrument which will automatically trisect any given angle. The apparatus is a simple two-piece device which, when placed correctly over the angle, shows where the lines of trisection are to be drawn...
This is the season for trisecting angles and other such exercises. This is how you do it: Construct an angle, any angle. Bisect it. At a point, any point, on the line of bisection, draw lines to sides of angle and perpendicular to bisector. You have now got a straight angle within the original angle. Using the point as center and length of equal perpendiculars as radius, describe a semi-circle upon the straight angle and within the original angle. Trisect the straight angle by trisecting the semi-circle. The points of trisection of the straight angle will also trisect...
Professor Wiggins of Ottawa claims to have solved the problem how to trisect a given rectilineal angle. Since the time of Euclid the solution of this problem has been regarded as impossible...
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