Ratios of Directed Line Segments Calculator
Find points that divide line segments in given ratios.
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.