Problem 576
Construct a line perpendicular to a given line through a given point outside the line.
Problem 577
Construct the perpendicular bisector of a given segment. Bisect a given angle.
Problem 581
To construct an angle whose measure is equal to the sum of the measures of two given angles.
Problem 585
Construct the mean proportional between two given segments.
Problem 588
Divide any segment into three congruent segments.
Problem 590
Construct the segment of length equal to \(\mathrm{a} \cdot \mathrm{b}\) where a and \(\mathrm{b}\) are the lengths of the segments below. (Unit length is shown below.)