2.1
Draw a square ABCD. Draw diagonal CA. Draw a line
perpendicular to CA at point C. With centre C and radius CD equal to 1, swing
an arc cutting this line at E.
AB=Ö1,
AC=Ö2, AE=Ö3
Have a go! |
|
2.2
The construction of the Vesica Piscis. Draw a circle
of any radius about any centre A. At any chosen point on the circumference of
this circle, B, swing another circle of equal radius.
The area and shape of
the intersection of the two circles is known as the Vesica Piscis. |
|
2.3
Geometric proof of the Ö3 proportion within the Vesica Piscis. Draw the
major and minor axes CD and AB. Draw CA, AD, DB and BC.
Have a
go! |
|
2.4
Geometric construction of the Ö3 rectangle. From point O, the centre of the Vesica
Piscis, drawa third circle with radius of 1 and a horizontal axis bisecting all
three circles and cutting the third circle at E and F. With points E and F as
centres, swing arcs cutting the new c ircle at H, I, J and K. Draw the root 3
rectangle HIJK enclosing the Vesica. |
|
2.5
Construction of the hexagon from the Vesica Piscis.
With our Vesica ABCD, swing an arc from C as centre cutting the second circle
at E. Repeat with D as centre cutting the circle at G. Repeat again with E
cutting the circle at F. Draw hexagon BCEFGD. |
|
Extra
The regular (?) pentagon from the Vesica Piscis. The
pentagon may appear to be regular but it is not. All the interior angles should
be 108°. |
|
