## Euclid's CatasQIHere we list all 48 2D constructions from the first six books of Euclid. To view them, you may (eventually) choose any of four formats:- [HTML]: This is a totally hypermedia version, using HTML FRAMES. It will appear in your Web browser as a sequence of English phrases (taken from Heath's 1908 translation of Euclid) on the left. Clicking one brings up the illustration which goes with it, on the right side of the browser.
- [PDF]: Textbook style presentation, Euclid's text appears alongside our new illustrations, in Adobe Acrobat Reader. The time to download PDF is much longer than that of the HTML version.
- [GIF]: The figures without the text, appears as a flip-book animation in your browser. A fast reminder of the construction.
- [SWF]: Like the GIF format, but appears in the Macromedia Shockwave Plugin Player.
Book I: 14 Constructions, C#1 to C#14 (148 pages, 293 figures) - C#01 < p.01.01: To draw an equilateral triangle (vesica piscis)
- 2 pages, 6 figures [HTML] [PDF] [GIF] [SWF]
- C#02 < p.01.02: To move a line
- 8 pages, 13 figures [HTML] [PDF] [GIF] [SWF]
- C#03 < p.01.03: To move a line onto a line
- 8 pages, 14 figures [HTML] [PDF] [GIF] [SWF]
- C#04 < p.01.09: To bisect an angle
- 6 pages, 12 figures [HTML] [PDF] [GIF] [SWF]
- C#05 < p.01.10: To bisect a line
- 4 pp., 10 figs. [HTML] [PDF] [GIF] [SWF]
- C#05B < p.01.10: To bisect a line (alternate construction)
- 4 pp, 5 figs [HTML] [PDF] [GIF] [SWF]
- C#06 < p.01.11: To draw a perp at a point
- 6 pp, 10 figs [HTML] [PDF] [GIF] [SWF]
- C#07 < p.01.12: To drop a perp from a point
- 6 pp, 11 figs [HTML] [PDF] [GIF] [SWF]
- C#08 < p.01.22: To make a triangle of three lines
- 4 pp, 10 figs [HTML] [PDF] [GIF] [SWF]
- C#08B < p.01.22: To make a triangle of three lines (alternate)
- 4 pp, 7 figs [HTML] [PDF] [GIF] [SWF]
- C#09 < p.01.23: To move an angle onto a line at a point
- 8 pp, 11 figs [HTML] [PDF] [GIF] [SWF]
- C#10 < p.01.31: To draw a parallel through a point
- 10 pp, 17 figs [HTML] [PDF] [GIF] [SWF]
- C#11 < p.01.42: To draw a parallelogram equal to a triangle
- 18 pp, 31 figs [HTML] [PDF] [GIF] [SWF]
- C#12 < p.01.44: Same, but with a given width
- 22 pp, 59 figs [HTML] [PDF] [GIF] [SWF]
- C#12B < p.01.44: Same, but with a given width (alternate)
- 12 pp, 21 figs [HTML] [PDF] [GIF] [SWF]
- C#13 < p.01.45: To draw a parallelogram equal to a figure
- 4 pp, 5 figs [HTML] [PDF] [GIF] [SWF]
- C#14 < p.01.46: To draw a square on a given side
- 14 pp, 27 figs [HTML] [PDF] [GIF] [SWF]
- C#14B < p.01.46: To draw a square on a given side (alternate)
- 8 pp, 14 figs [HTML] [PDF] [GIF] [SWF]
- C#15 < p.02.11: To cut a line in golden section
- 14 pp, 26 figs [HTML] [PDF] [GIF] [SWF]
- C#16 < p.02.14: To construct a square equal to a figure
- 10 pp, 18 figs [HTML] [PDF] [GIF] [SWF]
- C#17 < p.03.01: To find the center of a circle
- 8 pp, 13 figs [HTML] [PDF] [GIF] [SWF]
- C#18 < p.03.17: To draw a line touching a circle
- 12 pp, 23 figs [HTML] [PDF] [GIF] [SWF]
- C#18B < p.03.17: To draw a line touching a circle (alternate)
- 12 pp, 23 figs [HTML] [PDF] [GIF] [SWF]
- C#19 < p.03.25: To draw a complete circle given a segment
- 8 pp, 14 figs [HTML] [PDF] [GIF] [SWF]
- C#20 < p.03.30: To bisect a circumference
- 4 pp, 7 figs [HTML] [PDF] [GIF] [SWF]
- C#21 < p.03.33: To draw a segment with a given angle, on a given line
- 12 pp, 24 figs [HTML] [PDF] [GIF] [SWF]
- C#22 < p.03.34: To draw a segment with a given angle, in a given circle
- 16 pp, 31 figs [HTML] [PDF] [GIF] [SWF]
- C#23 < p.04.01: To fit a line in a circle
- 2 pp, 3 figs [HTML] [PDF] [GIF] [SWF]
- C#24 < p.04.02: To inscribe a triangle in a circle
- 16 pp, 30 figs [HTML] [PDF] [GIF] [SWF]
- C#25 < p.04.03: To circumscribe a triangle around a circle
- 20 pp, 38 figs [HTML] [PDF] [GIF] [SWF]
- C#26 < p.04.04: To inscribe a circle in a triangle
- 12 pp, 23 figs [HTML] [PDF] [GIF] [SWF]
- C#27 < p.04.05: To circumscribe a circle around a triangle
- 6 pp, 11 figs [HTML] [PDF] [GIF] [SWF]
- C#28 < p.04.06: To inscribe a square in a circle
- 6 pp, 11 figs [HTML] [PDF] [GIF] [SWF]
- C#29 < p.04.07: To circumscribe a square around a circle
- 14 pp, 26 figs [HTML] [PDF] [GIF] [SWF]
- C#30 < p.04.08: To inscribe a circle in a square
- 6 pp, 9 figs [HTML] [PDF] [GIF] [SWF]
- C#31 < p.04.09: To circumscribe a circle around a square
- 4 pp, 5 figs [HTML] [PDF] [GIF] [SWF]
- C#32 < p.04.10: To construct a golden triangle
- 14 pp, 25 figs [HTML] [PDF] [GIF] [SWF]
- C#33 < p.04.11: To inscribe a pentagon in a circle
- 34 pp, 66 figs [HTML] [PDF] [GIF] [SWF]
- C#34 < p.04.12: To circumscribe a pentagon around a circle
- 10 pp, 18 figs [HTML] [PDF] [GIF] [SWF]
- C#35 < p.04.13: To inscribe a circle in a pentagon
- 8 pp, 14 figs [HTML] [PDF] [GIF] [SWF]
- C#36 < p.04.14: To circumscribe a circle around a pentagon
- 8 pp, 13 figs [HTML] [PDF] [GIF] [SWF]
- C#37 < p.04.15: To inscribe a hexagon in a circle
- 10 pp, 16 figs [HTML] [PDF] [GIF] [SWF]
- C#38 < p.04.16: To inscribe a 15-gon in a circle
- 38 pp, 71 figs [HTML] [PDF] [GIF] [SWF]
- C#39 < p.06.09: To cut a prescribed piece from a line
- 8 pp, 15 figs [HTML] [PDF] [GIF] [SWF]
- C#40 < p.06.10: To cut a line similar to another cut line
- 8 pp, 14 figs [HTML] [PDF] [GIF] [SWF]
- C#41 < p.06.11: To find a third proprotional
- 6 pp, 10 figs [HTML] [PDF] [GIF] [SWF]
- C#42 < p.06.12: To find a fourth proportional
- 6 pp, 12 figs [HTML] [PDF] [GIF] [SWF]
- C#43 < p.06.13: To find a mean proportional
- 8 pp, 15 figs [HTML] [PDF] [GIF] [SWF]
- C#44 < p.06.18: To describe a figure similar to a given figure
- 12 pp, 22 figs [HTML] [PDF] [GIF] [SWF]
- C#45 < p.06.25: To describe a figure similar to one and equal to another
- 42 pp, 80 figs [HTML] [PDF] [GIF] [SWF]
- C#46 < p.06.28: To apply a parallelogram to a line, given area and defect
- 6 pp, 8 figs [HTML] [PDF] [GIF] [SWF]
- C#47 < p.06.29: To apply a parallelogram to a line, given area and excess
- 4 pp, 8 figs [HTML] [PDF] [GIF] [SWF]
- C#48 < p.06.30: To divide in extreme and mean ratio (DEMR)
- 2 pp, 4 figs [HTML] [PDF] [GIF] [SWF]
- C#X17 < New Construction for the 17-gon
- x pp, x figs [HTML] [PDF] [GIF] [SWF]
Revised 29 June 2000 by Ralph Abraham abraham@vismath.org |