Cross Ratio Calculator

Calculate Cross Ratio







Formula

The formula to calculate the Cross Ratio (CR) is:

\[ CR = \frac{AC \cdot BD}{BC \cdot AD} \]

Where:

Cross Ratio Definition

The cross ratio is a projective invariant that remains constant under projective transformations. It is used in various fields such as geometry, computer vision, and complex analysis.

Example Calculation

Let's consider an example:

Using the formula to calculate the Cross Ratio:

\[ CR = \frac{5 \cdot 4}{3 \cdot 6} = \frac{20}{18} = 1.11 \]

This demonstrates that with the given distances, the cross ratio would be 1.11.