Step 1 Using a straightedge, draw an acute angle, ZB. Mark tyto points on either side of ZB. Mark these points A and C. Use a
straightedge to connect the points. Now, you should have an acute triangle: ABC.
Step 2
Bisect ZB. Using a compass, draw a relatively small circle at point B. Mark the intersections of circle B with the sides of
ZB, and label them P and Q.
Step 3
Keep the compass setting and draw two circles, one centered at point P and another at point Q. Mark the intersection of
OP and Q that is in the interior of AABC, and label this point R.
Step 4
Using a straightedge, draw a line through points B and R. Make sure this line intersects the opposite side of the triangle,
AC:
Step 5
Bisect ZC. Using a compass, draw a relatively small circle at point C. Mark the intersections of circle C with the sides of
LC, and label them U and V.
Step 6
Keep the compass setting and draw two circles one centered at point U and another at point V. Mark the intersection of
OU and OV that is in the interior of AABC, and label this point T.
Step 7
Using a straightedge, draw a line through points C and T. Make sure this line intersects BR. Mark this intersection as
point X.
Step 8
Construct a line that's perpendicular to BC and goes through point X. Using a compass, construct a circle at point B with
a radius of BX. Then use a compass to construct a circle at pont C with a radius of CX. Mark their intersection as point
Z
Step 9
Using a straightedge, draw XZ. Mark the intersection of XZ and BC as point Y.
Step 10
Using a compass, draw a circle with a radius of XY at point X. Mark the intersections of circle X and AABC. If you
constructed this circle correctly, there will only be three points. One is already named Y. Name the other two points F and
L.