Euclid's CatasQI

C#01 < p.01.01: To draw an equilateral triangle (vesica piscis)

C#02 < p.01.02: To move a line

C#03 < p.01.03: To move a line onto a line

C#04 < p.01.09: To bisect an angle

C#05 < p.01.10: To bisect a line

C#05B < p.01.10: To bisect a line (alternate construction)

C#06 < p.01.11: To draw a perp at a point

C#07 < p.01.12: To drop a perp from a point

C#08 < p.01.22: To make a triangle of three lines

C#08B < p.01.22: To make a triangle of three lines (alternate construction)

C#09 < p.01.23: To move an angle onto a line at a point

C#10 < p.01.31: To draw a parallel through a point

C#11 < p.01.42: To draw a parallelogram equal to a triangle

C#12 < p.01.44: Same, but with a given width

C#12B < p.01.44: Same, but with a given width (alternate construction)

C#13 < p.01.45: To draw a parallelogram equal to a figure

C#14 < p.01.46: To draw a square on a given side

C#14B < p.01.46: To draw a square on a given side (alternate construction)

C#15 < p.02.11: To cut a line in golden section

C#16 < p.02.14: To construct a square equal to a figure

C#17 < p.03.01: To find the center of a circle

C#18 < p.03.17: To draw a line touching a circle

C#18B < p.03.17: To draw a line touching a circle (alternate construction)

C#19 < p.03.25: To draw a complete circle given a segment

C#20 < p.03.30: To bisect a circumference

C#21 < p.03.33: To draw a segment with a given angle, on a given line

C#22 < p.03.34: To draw a segment with a given angle, in a given circle

C#23 < p.04.01: To fit a line in a circle

C#24 < p.04.02: To inscribe a triangle in a circle

C#25 < p.04.03: To circumscribe a triangle around a circle

C#26 < p.04.04: To inscribe a circle in a triangle

C#27 < p.04.05: To circumscribe a circle around a triangle

C#28 < p.04.06: To inscribe a square in a circle

C#29 < p.04.07: To circumscribe a square around a circle

C#30 < p.04.08: To inscribe a circle in a square

C#31 < p.04.09: To circumscribe a circle around a square

C#32 < p.04.10: To construct a golden triangle

C#33 < p.04.11: To inscribe a pentagon in a circle

C#34 < p.04.12: To circumscribe a pentagon around a circle

C#35 < p.04.13: To inscribe a circle in a pentagon

C#36 < p.04.14: To circumscribe a circle around a pentagon

C#37 < p.04.15: To inscribe a hexagon in a circle

C#38 < p.04.16: To inscribe a 15-gon in a circle

C#39 < p.06.09: To cut a prescribed piece from a line

C#40 < p.06.10: To cut a line similar to another cut line

C#41 < p.06.11: To find a third proprotional

C#42 < p.06.12: To find a fourth proportional

C#43 < p.06.13: To find a mean proportional

C#44 < p.06.18: To describe a figure similar to a given figure

C#45 < p.06.25: To describe a figure similar to one and equal to another

C#46 < p.06.28: To apply a parallelogram to a line, given area and defect

C#47 < p.06.29: To apply a parallelogram to a line, given area and excess

C#48 < p.06.30: To divide in extreme and mean ratio (DEMR)

C#49 : To divide a circle into 17 equal segments