Geometry - The Division of Planes
A plane can be divided into equal or unequal parts. Negative lines can be introduced with gaps between dissected shapes. The slight displacement of dissected shapes can lead to interesting effects, but the original shape of the plane must remain recognizable.
Dissected shapes can touch, join, overlap, or interpenetrate.
[Wong, Wucius. Principals of Two-Dimensional Form. New York: Van Nostrand Reinhold Company, 1988.]
R E F E R E N C E S
1 Divide vb [ME, fr. L dividere, fr. dis- + -videre to separate -more at Widow] vt [14c] 1a: to separate into two or more parts, areas, or groups b: to separate into classes, categories, or divisions c: cleave, Part 2a: to separate into portions and give out in shares: Distribute b: to possess, enjoy, or make use of in common c: Apportion 3a: to cause to be separate, distinct, or apart from one another b: to separate into opposing sides or parties c: to cause [a parliamentary body] to vote by division 4a: to subject [a number or quantity] to the operation of finding how many times it contains another number of quantity [__ 42 b y 14] b: to be used as a divisor with respect to [a dvidend] [4 __s 16 evenly] c: to use as a divisor -used with into [__ 14 into 42] -vi 1: to perform mathematical division 2a [1]: to undergo replication, multiplication, fission, or separation into parts [2]: to branch out b: to become separated or disunited esp. in opinion or interest
-syn see Separate, Distribute
2 Divide n [1642] 1: an act of dividing 2a: a dividing ridge between drainage areas: Watershed b: a point or line of division
Division n [ME, fr. MF, fr. L division-, divisio, fr. dividere to divide] [14c] 1a: the act, process, of dividing: the state of being divided b: the act, process, or an instance of distributing among a number: Distribution c obs: a method of arranging or disposing [as tropps] 2: one of the parts or groupings into which a whole is divided or is divisible 3: the condition or an instance of being divided in opinion or interest: Disagreement, Disunity [exploited the __s between the two countries] 4a: something that divides, separates, or marks off b: the act, process, or an instance of separating or keeping apart: Separation 5: the mathematical operation of diving something 6a: a self-contained major military unit capable of independent action b: a tactical miltary unit composed orf headquarters and usu. three to five brigades c [1]: the basic naval administrative unit [2]: a tactical subdivision of a squadron of ships d: a unit of the U.S. Air Force higher than a wing and lower than an air force 7a: a portion of a territorial unit marked off for a particular purpose [as administrative or judicial functions] b: an administrative or operating unit of a governmental, business, or educational organization 8: the physical separation into different lobbies of the members of a parliamentary body voting for and against a question 9: plant propagation by dividing parts and planting segments capable of producing roots and shoots 10: a group of organisms forming part of a larger group: specific: a primary category of the plant kingdom 11: a competitive class or category [as in boxing or wrestling] -syn see Part
[Merriam-Webster's Collegiate Dictionary, 10th Edition. Springfield, MA, USA: Merriam-Webster, Inc. 1995.]
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