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By A.B. Emary

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Extending the lines as shown. With radius f - g and centres 1, 2, 3 ... in turn, describe the arcs to cut the extended lines at points 1 ", 2", 3" etc. Join these points to produce the entasis. The second method can be seen in figure 107(b): 4' 4 4" 1. 2. 3" 3. • 4. 5. I" h a c (a) d c a d (b) 36 Draw the centre line of the column a - b and divide this into, say, six equal parts. Draw horizontal lines through these points. Make c - d the diameter at the lower end and e - f the diameter at the top.

32 Figure 101 A comprehensive practical geometry for builders 11. THE PARABOLA To set out the curve of a parabola (figure 102), let 0' - 5' be half the span and 0' - 0 the rise. 5. 6. 1. 7. 8. 2. 3. 4. Draw the rectangle 0' - 5' - 5 - O. Divide 0 - 5 into any number of equal parts and 0' - 0 into the same number. Draw vertical lines from 0, 1, 2 etc. and diagonal lines from 0', 1', 2' etc. The intersections of these lines will give points on the curve of the parabola. Draw a horizontal line from P to give P' on 5 - 5'.

Draw another line, from 6, through 6' to meet the other in 0". a Figure 140 42 1. 2. 3. A comprehensive practical geometry for builders The given moulding should be drawn in the vertical position and the base of the required moulding drawn in the horizontal direction as shown in the drawing. Draw vertical lines from a and 9 to meet horizontal lines brought over from band 9 on the given moulding. Draw the mitre c - d. 4. 5. , equal the distances between 1, 2, 3,4 etc. , to give points on the required moulding.

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