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Parallel Offset Calculator Online

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The Parallel Offset Calculator is a valuable tool used in geometry to determine the new coordinates of a point or vertex on a curve or line after applying an offset. It facilitates easy calculations by providing the new position based on the original coordinates, the desired offset distance, and the tangent angle at that specific point.

Formula of Parallel Offset Calculator

The formula for the Parallel Offset Calculator is:

Offset Point (X', Y') = (X + d * cos(θ), Y + d * sin(θ))

  • (X, Y): Original coordinates of the point on the curve or line.
  • d: The offset distance applied (positive for right, negative for left).
  • θ: The angle of the tangent at the original point.
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Useful Table or Conversion Tool

TermDefinition/Conversion
Offset DistanceDistance from original point
Tangent AngleAngle of the tangent
Coordinates (X, Y)Original point coordinates

This table provides essential terms and their meanings, aiding users in utilizing the calculator effectively without repeatedly performing calculations.

Example of Parallel Offset Calculator

Imagine a point (5, 8) on a curve, an offset distance of 3 units to the right, and a tangent angle of 60 degrees. By applying the formula, the new coordinates (X’, Y’) can be calculated as follows:

  • X’ = 5 + 3 * cos(60°)
  • Y’ = 8 + 3 * sin(60°)

Thus, the new coordinates would be (5 + 1.5, 8 + 2.6), resulting in (6.5, 10.6).

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Most Common FAQs

Q: How does the calculator handle negative offset distances?

A: Negative distances result in leftward offsets, altering the direction.

Q: Can the calculator handle non-integer coordinates?

A: Yes, the calculator accommodates decimal coordinates for precise calculations.

Q: What if the tangent angle exceeds 90 degrees?

A: Tangent angles beyond 90 degrees extend into the opposite direction.

Q: What if I don’t know the tangent angle?

A: In scenarios where the angle is unknown, tools or software can help compute tangent angles or provide alternatives for achieving offsets.

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