Directed Line Segment Ratio Calculator
Directed Line Segment Ratio: calculate results from explicit inputs, with a formula and worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision. Internal division only; zero in one ratio term selects an endpoint.
Example Calculation
- A x: 0
- A y: 0
- B x: 10
- B y: 20
- Ratio m: 2
- Ratio n: 3
From (0,0) to (10,20), internal ratio 2:3 gives (4,8).
Frequently asked questions
How do I use this calculator?
Enter a x, a y, b x, b y, ratio m, ratio n. The result updates automatically. Use Reset to restore the example values.
What method does it use?
P = (nA+mB)/(m+n) for AP:PB = m:n. Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision. Internal division only; zero in one ratio term selects an endpoint.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.