Focusing systems for which variation of magnification with focus is either inherently compensated, or is calibrated and corrected. The required conditions for inherent compensation are determined, and the desired state is called constant relative magnification. It is shown that telecentricity does not guarantee constant relative magnification. Both telecentric and non-telecentric accessory cameras for endoscopes are disclosed that have constant relative magnification, as are additional optical systems for general metrological purposes. Methods for calibrating change in relative magnification and deviation of the optical axis with focal shift are disclosed, as are methods for incorporating these changes into perspective dimensional measurements. Embodiments are disclosed in which only a single quantity need be measured to perform the correction, and these embodiments require only a low-resolution position transducer to provide accurate measurements. Apparatus is disclosed that enables an accessory camera to be aligned to an endoscope using only externally accessible adjustments. This apparatus also makes it possible to de-mount the camera from one endoscope and re-mount it to another without requiring any recalibration.