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Parallel curve. Parallel curves of the graph of for distances. Two definitions of a parallel curve: 1) envelope of a family of congruent circles, 2) by a fixed normal distance. The parallel curves of a circle (red) are circles, too. A parallel of a curve is the envelope of a family of congruent circles centered on the curve.
Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called skew lines.
According to wikipedia a parallel line is: Two lines in a plane that do not intersect or touch at a point are called parallel lines. But another reference says. Side by side and having the same distance continuously between them. According to the above definition, you can have two parallel lines with a distance of zero but this contradicts the ...
The curves and are parallel if respective current points M 1 and M 2 can be determined so that . For an initial curve with current point , a parallel curve is a set of points . Cartesian parametrization: . The parallel curves of an algebraic curve are algebraic. Curvilinear abscissa at the current point on (oriented by the same tangent vector ...
Feb 9, 2018 · parallel curve. Given two curves, one is a parallel curve (also known as an offset curve) of the other if the points on the first curve are equidistant to the corresponding points in the direction of the second curve’s normal. Alternatively, a parallel of a curve can be defined as the envelope of congruent circles whose centers lie on the curve.
- ParallelCurve
- 2013-03-22 17:13:10
- 2013-03-22 17:13:10
- parallel curve
The curves (G 1) and (G 2) are parallel if we can determine current points M1 and M2, respectively, such that and . For an initial curve with current point , a parallel is a set (G a) of points where , the angle being the torsion angle (see the notations). The surface area of the strip between two corresponding arcs of (G 0) and (G a) is equal ...
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Two definitions of a parallel curve: 1) envelope of a family of congruent circles, 2) by a fixed normal distance. The parallel curves of a circle (red) are circles, too. A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel (straight) lines .
