The location of six geometric figures (circle, square, triangle, rectangle, parallelogram and trapezoid)

Previously catalogued as E-09

Other publications: Sol LeWitt: Prints 1970-1986. London: Tate Gallery Publications, 1986.

Location of a Circle:

A circle whose radius is equal to half the distance between two points, the first point is found where two lines would cross if the first line were drawn from a point halfway between a point halfway between the center of the square and the upper right corner and the midpoint of the topside to a point halfway between a point halfway between the center of the square and the midpoint of the right side and a point halfway between the midpoint of the right side and the lower right corner, the second line of the first set is drawn from a point halfway between a point halfway between the center of the square and a point halfway between the midpoint and the left side and the upper left corner and the midpoint of the left side to a point halfway between a point halfway between the center of the square and the upper right corner and a point halfway between the midpoint of the right side and the upper right corner; the second point is found where two lines would cross if the first line is drawn from a point halfway between a point halfway between the center of the square and the midpoint of the bottom side and a point halfway between the center of the square and the lower left corner to a point halfway between the end of the first line of the first set and the end of the second line of the first set, the second line of the second set is drawn from a point halfway between the point where the first two lines have crossed and a point halfway between the start of the first line of the first set and a point halfway between the midpoint of the left side and the upper left corner to a point halfway between the end of the first line of the second set and the midpoint of the bottom side; all whose center is located equidistant to three points, the first of which is located at the center of the square, the second point is located at a point halfway between a point halfway between the center of the square and the upper left corner, the third point is located halfway between the start of the first line of the first set and the end of the first line of the second set.

Location of a Square:

A square, each side of which is equal to half the total length of three lines, the first is drawn from a point halfway between the center of the square, and a point halfway between the center of the square and the upper left corner and the midpoint of the left side to a point halfway between the center of the square and a point halfway between the center of the square and the midpoint of the bottom side, the second line is drawn from a point halfway between the start of the first line and a point halfway between a point halfway between the center of the square and the upper right corner and the midpoint of the top side to the start of the first line, the third line is drawn from a point halfway between the start of the first line and a point equidistant from the end of the first line, the start of the second line and a point halfway between a point halfway between the center of the square and the midpoint of the right side, and a point halfway between the center of the square and the upper right corner and the midpoint of the top side to the point where the first and second lines start; the right side is located on the axis of, and equidistant from two points, the first is located at a point halfway between a point halfway between the center of the square and the midpoint of the right side and a point halfway between the midpoint of the right side and the lower left corner to a point halfway between a point halfway between the midpoint of the top side and the upper right corner and the start of the third line.

The Location of a Triangle:

A triangle which is drawn between three points, the first of which is located where two lines would cross if the first line is drawn from a point halfway between the lower left corner and a point halfway between the midpoint of the bottom side and a point halfway between the midpoint of the left side to a point halfway between a point halfway between the center of the square and the midpoint of the right side and a point halfway between the midpoint of the right side and the upper right corner and a point halfway between the midpoint of the top side and the upper right corner; the second line from a point halfway between a point halfway between the center of the square and the midpoint of the right side and a point halfway between the midpoint of the right side and the lower right corner and a point halfway between the center of the square and the lower right corner to a point halfway between the start of the first line and a point halfway between the midpoint of the left side and the upper left corner; the second point is located where two lines would cross if the first is drawn from a point halfway between the point where the second line of the first set of lines starts and the first line of the first set ends and a point halfway between a point halfway between the midpoint of the top side and the upper right corner and a point halfway between the midpoint of the right side and the upper right corner to the upper left corner, the second line of the second set from a point halfway between the point where the first line of the first set would cross the first line of the second set if it were extended and a point halfway between the center of the square and a point halfway between the midpoint of the left side and the upper left corner to a point halfway between the midpoint of the top side and the upper right corner; the third point is located equidistant to the end of the first line of the first set, the start of the second line of the second set and a point halfway between the midpoint of the bottom side and the lower right corner.

Location of a Rectangle:

A rectangle whose left and right sides are two thirds as long as its top and bottom sides and whose left side is located where a line drawn from a point halfway between the midpoint of the top side of the square and the upper left corner to a point halfway between a point halfway between the center of the square and the lower left corner and the midpoint of the bottom side is crossed by two lines, the first of which is drawn from a point halfway between the midpoint of the left side and the upper left corner to a point halfway between the point halfway between the center of the square and the upper right corner and the midpoint of the right side, the second line from a point halfway between the point where the first line ends and a point halfway between the midpoint of the bottom side and the lower right corner to a point halfway between a point halfway between the center of the square and the lower left corner and the midpoint of the left side.

The Location of a Parallelogram:

A parallelogram whose top and bottom sides are two and a half times as long as its left and right sides and whose top side is located between the points where two sets of lines cross; the first line of the first set is drawn from a point halfway between the center of the square and a point halfway between the midpoint of the top side and the upper left corner to a point halfway between the midpoint of the bottom side and the lower right corner, the second line of the first set is drawn from the midpoint of the top side to a point equidistant to the center of the square, a point halfway between the center of the square and the midpoint of the bottom side and a point halfway between the midpoint of the left side and lower left corner, the first line of the second set is drawn from a point halfway between the midpoint of the top side and the upper right corner to the lower right corner, the second line of the second set is drawn from a point halfway between the midpoint of the right side and the upper right corner to a point halfway between a point halfway between the center of the square and the upper left corner and a point halfway between the midpoint of the top side and the upper left corner, the left side is drawn on a line to a point halfway between the point where the second line of the first set of lines ends and a point halfway between the midpoint of the bottom side and the lower left corner.

The location of a Trapezoid:

A trapezoid whose top side is half as long as its bottom side and whose left side is one and a half times as long as the top side and is located where a line drawn from a point halfway between a point halfway between the center of the square and the upper left corner and a point halfway between the midpoint of the top side and the upper left corner to a point halfway between the midpoint of the right side and the upper right corner is crossed by two lines, the first of which is drawn from a point halfway between the midpoint of the top side and a point halfway between the midpoint of the top side and the upper left corner to a point halfway between a point halfway between the center of the square and the midpoint of the bottom side and a point halfway between the midpoint of the bottom side and the lower left corner, the second line is drawn from a point halfway between the midpoint of the top side and the upper right corner to the center of the square, the left side is drawn to a point halfway between a point halfway between the center of the square and the lower left corner and a point halfway between the midpoint of the left side and the lower left corner.