Question
Use support lines in the given figure to construct a pointed arch. Make different arches by changing the radius of the arcs.
✓
Answer
The following is the given figure:
Draw a vertical line B’D’.
With centres at B and B’, draw arcs of equal radius.
Measure RS using a compass.
Transfer this length on the arc from S’ to get R’S’ = RS.
Join B’ and R’ and extend this line.
Make B’A’ equal to BA.
Measure ST using a compass.
Transfer this length on the arc from S’ to get S’T’ = ST.
Join B’ and T’ and extend this line.
Make B’C’ equal to BC.
Using a compass, find the midpoints M and N of A’B’ and B’C’ respectively.
On the lines A’M, MB’, B’N, and NC’, draw similar arcs as shown in the figure.
Erase the extra letters, lines, and arcs to get the required pointed arch with given support lines.
Draw a vertical line B’D’.
With centres at B and B’, draw arcs of equal radius.
Measure RS using a compass.
Transfer this length on the arc from S’ to get R’S’ = RS.
Join B’ and R’ and extend this line.
Make B’A’ equal to BA.
Measure ST using a compass.
Transfer this length on the arc from S’ to get S’T’ = ST.
Join B’ and T’ and extend this line.
Make B’C’ equal to BC.
Using a compass, find the midpoints M and N of A’B’ and B’C’ respectively.
On the lines A’M, MB’, B’N, and NC’, draw similar arcs as shown in the figure.
Erase the extra letters, lines, and arcs to get the required pointed arch with given support lines.
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