# Linear

## Lin"e*ar

(ln"*r), a. [L.*linearis*,

*linearius*, fr.

*linea*line: cf. F.

*linaire*. See 3d Line.] 1. Of or pertaining to a line; consisting of lines; in a straight direction; lineal.

[1913 Webster]

2.
*(Bot.)* Like a line; narrow; of the same breadth throughout, except at the extremities; as, a
*linear* leaf.

[1913 Webster]

3. Thinking in a step-by-step analytical and logical fashion; contrasted with
*holistic*, i.e. thinking in terms of complex interrelated patterns; as,
*linear* thinkers.

[PJC]

Linearthinkers concluded that by taking the world apart, the actions of people were more predictable and controllable.

*David Morris (Conference presentation, Fairfield University, October 31, 1997)*

**Linear differential equation**
*(Math.)*, an equation which is of the first degree, when the expression which is equated to zero is regarded as a function of the dependent variable and its differential coefficients. --
**Linear equation**
*(Math.)*, an equation of the first degree between two variables; -- so called because every such equation may be considered as representing a right line. --
**Linear measure**, the measurement of length. --
**Linear numbers**
*(Math.)*, such numbers as have relation to length only: such is a number which represents one side of a plane figure. If the plane figure is square, the linear figure is called a root. --
**Linear problem**
*(Geom.)*, a problem which may be solved geometrically by the use of right lines alone. --
**Linear transformation**
*(Alg.)*, a change of variables where each variable is replaced by a function of the first degree in the new variable.

[1913 Webster]

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Thu 29th July 2021