_Penetration_ in the objective is a quality for consideration, as the adjustment of high powers is a work of delicacy, and in some cases their penetration is impaired by the arrangement made to obtain finer definition. The value, however, of penetration in an objective is always considered to be of more or less importance. It is a quality whereby, under certain conditions, a more perfect insight into structure is obtained. As a rule, the objective having the largest working distance possesses the better penetration. Theoretically, the penetration of an objective decreases as the square of the angular aperture increases. For this reason the medical student will be justified in choosing the objectives I have named, since these will be better adapted to his work and pursuits. The penetration of the objective is a relative quality assessed at a different value by workers whose aims are widely different. But for the observation of living organisms, the cyclosis within the cell of the closterium or valisneria, for instance, preference will undoubtedly be in favour of the objective with good penetration. _Resolving Power._--This is a quality highly prized by the bacteriologist. In the case of the high-angled apochromatic oil-immersion, with its compensating eye-piece, its resolution is found to be of very considerable advantage, because of its capacity to receive and recombine all the diffraction spectra that lie beyond the range of the older achromatic objective, with its smaller angular aperture. The actual loss of resolving power consequent upon the contraction of aperture from 180° to 128-1/2° is ten per cent., if not more. Resolution depends, then, upon the quality and quantity of the light admitted, the power of collecting the greatest number of rays, and the perfection of centring. In other words, upon the co-ordination of the illuminating system of the microscope--mirror, achromatic condenser, objective and eye-piece. If diatoms are employed as test-objects, it should not be forgotten that there are great differences, even in the same species, in the distances their lines are apart. For this reason ruled lines of known value, as Nobert’s lines, are to be preferred. The following example will suffice to show the value of a dry 1/8-inch objective of 120° in defining the rulings of a 19-band plate, which is equivalent to the 1/67000th of an inch. This objective, with careful illumination, showed them all; but when cut down by a diaphragm to 110°, the eighteenth line was not separable; further cut down to 100° the seventeenth was the limit, to 80° the fourteenth, and to 60° the tenth was barely reached.