How to Use This Calculator
- Enter the coordinates for Point A in the format (x, y), where x and y are numeric values.
- Enter the coordinates for Point B in the same format (x, y).
- Enter the fraction value as a fraction (e.g., 1/3, 2/5), where the denominator cannot be zero.
- Click the "Calculate" button to compute the fractional point between the two points.
- The calculator will display the fractional point coordinates and the distance between the original points.
Working Principle
This calculator works by finding a point that lies at a specific fraction along the line segment between two points in a 2D coordinate system.
The formula used is:
P = P₁ + (P₂ - P₁) × f
Where:
- P₁ is the first point (Point A)
- P₂ is the second point (Point B)
- f is the fraction value (e.g., 1/3 means one-third of the way from Point A to Point B)
- P is the resulting fractional point
Examples
Example 1: If Point A is (10, 20), Point B is (30, 40), and the fraction is 1/2, the calculator will find the midpoint between these two points.
Example 2: If Point A is (5, 5), Point B is (15, 15), and the fraction is 2/3, the calculator will find a point two-thirds of the way from Point A to Point B.
Applications
This calculator can be useful in various fields including:
- Computer graphics for interpolation between points
- Geospatial analysis for finding intermediate locations
- Animation for determining intermediate positions
- Engineering for calculating fractional positions along a path