Circle One Dimensional at Stephanie Harriet blog

Circle One Dimensional. You conflate drawing a circle on the 0xy plane and the definition of a circle. It's one dimensional because the circle only requires a single variable to describe (the angle of the point on the circle), or in complex form, p(t) = exp(it). For example, a curve, such as a circle, is of dimension one, because the position of a point on a curve is determined by its signed distance along. The definition of a circle is the locus of points (no dimension).

2D and 3D Shapes Definition, Properties, Formulas, Types of 3D Shapes
from www.toppr.com

You conflate drawing a circle on the 0xy plane and the definition of a circle. The definition of a circle is the locus of points (no dimension). It's one dimensional because the circle only requires a single variable to describe (the angle of the point on the circle), or in complex form, p(t) = exp(it). For example, a curve, such as a circle, is of dimension one, because the position of a point on a curve is determined by its signed distance along.

2D and 3D Shapes Definition, Properties, Formulas, Types of 3D Shapes

Circle One Dimensional For example, a curve, such as a circle, is of dimension one, because the position of a point on a curve is determined by its signed distance along. You conflate drawing a circle on the 0xy plane and the definition of a circle. It's one dimensional because the circle only requires a single variable to describe (the angle of the point on the circle), or in complex form, p(t) = exp(it). For example, a curve, such as a circle, is of dimension one, because the position of a point on a curve is determined by its signed distance along. The definition of a circle is the locus of points (no dimension).

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