To Make an Octagon

by pamneely on May 27, 2010


To Make an Octagon – Extend the lines from each E to the center at A (Fig. 2). Now make eight lines as shown by the dotted line X to F, which gives one section of an octagon.

To Make an Equilateral Triangle – A triangle having all sides of an equal length-draw a line GG parallel to XX at the top of the circle. Extend lines from the center A through the OO’s (as produced in Fig. 2) to the line GG, and an equilateral is shown in the heavy lines as a result.

Pentagon – To construct a pentagon, draw parts of three circles as A A, 13 13 and C C, as in Fig. I. Next draw the

vertical line D D. Then the oblique lines E E and 17 F. From the intersection of line E E at upper part of circular line C C describe segment of circle J. On the same drawing (as in Fig. 2) now construct the pentagon as shown by the heavy lines G, H, I and J.

Another Pentagon – Method of drawing a pentagon by first locating the points required to make a decagon: Describe a circle as at A. Then half a circle as shown by dotted lines (same radius as large circle). Then the vertical line; next the dotted horizontal line. Now describe small circle; now the lower horizontal line. Extend a line from the intersection of the vertical line and the top of the small circle, thence to its intersection with the dotted horizontal line.

Now describe a segment of a circle, starting at intersection of oblique line
and lower horizontal line, and touching the small circle. The black dots on the oblique line indicate a distance that is the tenth part of a decagon, as shown in C and B. Use alternate spaces to form a pentagon, as at 13, or five-pointed star at C. This exercise is not so wearisome as it looks.

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