shown in figure 14-7, which you should refer to as you
read this section.
1. Draw lines between points A, B, and C, and
bisect these lines (view A).
2. The point where the bisecting lines intersect
each other (point D) is the center of the circle.
Place one point of the dividers at this point and
the other point at one of the other three lettered
points.
3. Draw the circle as shown in view B. The circle
will now pass through all three lettered points.
DRAWING A PERPENDICULAR
FROM THE END OF A
LINE
Figure 14-8 shows the steps you will follow to draw
Figure 14-6.--Dividing a line geometrically.
a perpendicular from the end of a line.
accurate way to divide a line. A more accurate division
1. Pick any point, such as C, above base line AY.
can be made by using dividers. You may divide a line
into any number of equal parts by using the following
2. With the dividers set at a radius of CA, place the
procedure (fig. 14-6):
point at point C. Draw an arc so the arc
intersects line AY at point B. It must extend an
1. Draw a line at an angle from one end of line AB
equal distance on the other side of A.
(view A).
3. Draw a line intersecting the arc through points
2. On this line mark off five equal points with
B and C. Label this point D.
dividers (view B).
4. Then, draw line DA perpendicular to line AY.
3. Draw a line from the last point at the widest part
of the angle (point C in view C) to the end of the
DRAWING A PERPENDICULAR
original line (point A). This line is shown as AC
TO A GIVEN LINE FROM A
in view C.
GIVEN POINT
4. From each of the other marked-off points, draw
lines parallel with line AC (view D).
At times, you will need to draw a perpendicular to
a given line from a given point. The steps for drawing
DRAWING A CIRCLE OR AN ARC
THROUGH THREE GIVEN POINTS
The steps used in drawing a circle through three
given points are given in the following list and are
Figure 14-8.--Drawing a perpendicular from the end of the
line.
Figure 14-7.--Drawing a circle through three given points.
14-9
