PROBLEME I. Ʋpon a right line given, how to erect another right line, which shall be perpendicular to the right line given.
THe right line given is AB, upon which from the point E it is required to erect the perpendicular EH.
Opening your Compasses at pleasure to any conveni∣ent distance, place one foot in the assigned point E, and with the other make the marks C and D, equidistant on each side the given point E. Then open∣ing your Compasses again to any other convenient distance wider then the former, place one foot in C, and with the other describe the arch GG; also (the Compasses remaining at the same distance) place one foot in the point D, and with the other describe the arch FF, then from the point where these two arches intersect or cut each other (which is at H) draw the right line HE which shall be perpendicular to the given right line AB, which was the thing required to be done.