Ratios of Directed Line Segments Calculator - Multi-Tools

Ratios of Directed Line Segments Calculator

Find points that divide line segments in given ratios.

Line Segment Endpoints
Division Ratio
Division Type
Visual Representation
How it works

For a line segment from (x₁, y₁) to (x₂, y₂), the point dividing it in the ratio m:n is:

Internal Division:

  • x = (mx₂ + nx₁)/(m + n)
  • y = (my₂ + ny₁)/(m + n)

External Division:

  • x = (mx₂ - nx₁)/(m - n)
  • y = (my₂ - ny₁)/(m - n)

Where m and n are the parts of the ratio.

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