Curiosa Mathematica e-bog

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. Well, suppose u were equal to 4: i. E. We have to divide the vertical angle into 24 equal parts. Bisect it: that gives halves. Bisect the halves: that gives quarters. Bisect again: that gives eighths. Bisect once more that give sixteenths. Voila tout! Nature. (june 13, Shade of Euclid! Who knows not such things? We admitted the same, but stated that our difficulty in the construction was the con dition imposed in the enunciation: viz., the chord of each such sector not less than the radius of the circle.' Take Mr. Dodgson's illustration of a sixteenth: this would necessitate that the original angle should be at least 960 we have further noted that no one of the chords in Mr. Dodgson's figures is even equal to the radius.