We start our investigations at a very small magnification, which is equivalent to the highest magnification, which you can actually reach with a light microscope.
While other scopes at the time were lucky to get 50-times magnification, Van Leeuwenhoek's had up to 270-times magnifying power, identifying things as small as one thousandth of a millimeter.
For telescopes and microscopes, the ability to resolve an image becomes more difficult as the magnification gets higher, because the diffraction patterns that they create are magnified, too.
After all of the like terms cancel out, you’re left with a magnification equation in terms of the focal lengths of the objective lens and the eyepiece.
In order to find the magnifying power of the lens, you just divide the angle subtended by the virtual image by the angle subtended by your unaided eye.
After all of the like terms cancel out, you're left with a magnification equation in terms of the focal lengths of the objective lens and the eyepiece. .
We have the magnification equation, expressed in terms of subtended angles, but we can still use the equations in terms of distance and height for both objects and images.