Notebook

Notebook, 1993-

RELATIONSHIPS

Relating Straight Lines ,
Circles, and Arcs


GEOMETRY - Relating Straight Lines, Circles, and Arcs
Straight lines, circles, and arcs can be made to relate in a multitude of ways by manipulating their breadths, their endings, their ending-to ending joints, their ending-to-edge joints, their edge-to-edge joints, the way they overlap, the way they interlock, the way they interpenetrate, the way they interweave, their continuities, and their enclosures.

Relating Arcs
Two arcs can touch, join, overlap, or interlock. Arcs that are joined can produce an enclosed space or a winding curve. The end of arcs can vary to achieve different effects. Arcs of different sizes can be arranged with or without connecting their endings.

Relating Circles
Circles can touch, join, overlap, or interlock. Boldly drawn circumferences can lead to more variations .

Circles of different sizes can be superimposed, with larger ones containing smaller ones.

Relating Straight Lines
Two straight lines can be brought together in numerous ways by changing their positions and/or directions. Two lines can touch, join, or overlap. Lines can be joined end to end or end to edge. Bold lines with curved endings require special treatment. Bold lines can overlap, forming a negative shape in the overlapped area. Parallel bold lines can touch or join without creating one continuous line.

[Wong, Wucius. Principals of Two-Dimensional Form. New York: Van Nostrand Reinhold Company, 1988.]




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