By A.B. Emary
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Extra info for A Comprehensive Practical Geometry for Builders
5. Draw a - b, the directrix, and c - d, the axis, and on c d place point e (the vertex) and the focal point. The vertex e is mid-way between the focal point and the directrix. Plot any number of points on c - d from e and number these 1, 2, 3 etc. Draw lines from these points, parallel to a-b. With the focal point as centre and radius c - 1 describe an arc to cut line 1 at x and y which are points on the curve. With the same centre and radius c - 2 describe an arc to cut line 2 at x' and y'. Repeat these steps to obtain points on the other horizontal lines and draw the parabola through the points thus obtained.
3. 4. Draw the figure a - b - c - d - e. On a - b mark b' making a - b' the required length. Draw the diagonals a - c and a-d. , until the figure is complete. Figure 136 -+ ---j-~-+-~-13 +----t-,I-I 2 c 3 4 5 6 2 3 4 5 5 6 ENLARGEMENT AND REDUCTION OF MOULDINGS Figure 134 To enlarge a moulding (figure 137) in thickness only: 1. 2. 3. 4. Figure 135 5. Figure 135 is similar to the preceding one, but this time a - b - c - d - e has been enlarged so that a - b now becomes a - b' in length. 40 Draw the moulding a - b - c.
These are called raking mouldings. 3. MOULDINGS ROUND 90° TURNS Draw lines from all the points on the moulding downwards and at the angle required so that moulding A can be constructed. Let the points 0 - 1 - 2 - 3 across the top of A equal those across the top of C. Moulding B can now be constructed using the inclined lines connecting A and C as the guide lines. Remember the distances 0 - 1 - 2 - 3 on the top inclined line must be equal to those across the top of mouldings A and C. To obtain the mitre bevels it is necessary to develop the shapes of the top surfaces of the mouldings.
A Comprehensive Practical Geometry for Builders by A.B. Emary