Projection Calculator Math

Basic Formula

$\frac{\mathrm{slide\; size}}{\mathrm{image\; size}}=\frac{\mathrm{slide\; distance}}{\mathrm{image\; distance}}$

$\frac{1}{\mathrm{focal\; length}}=\frac{1}{\mathrm{image\; distance}}+\frac{1}{\mathrm{slide\; distance}}$

Derived Formula

$\mathrm{slide\; size}=\frac{\mathrm{image\; size}\times \mathrm{focal\; length}}{\mathrm{image\; distance}-\mathrm{focal\; length}}$

$\mathrm{image\; size}=\mathrm{slide\; size}\times (\frac{\mathrm{image\; distance}}{\mathrm{focal\; length}}-1)$

$\mathrm{image\; distance}=\mathrm{focal\; length}\times (\frac{\mathrm{image\; size}}{\mathrm{slide\; size}}+1)$

$\mathrm{focal\; length}=\frac{\mathrm{slide\; size}\times \mathrm{image\; distance}}{\mathrm{image\; size}+\mathrm{slide\; size}}$

This page was created in Amaya using MathML. We have added MathML display support using the W3C suggestions found at http://www.w3.org/Math/XSL/.