BACTERIA. 33 • As a rule, the spherical organisms are the smallest and the spiral organisms the longest, except the chains of bacilli called leptothrix. Their measurements vary from o. 15 jj. (micrococcus of progressive abscess-formation in rabbits) to 2.8 p (Diplococcus albicans am plus) for cocci, and from i X 0.2 p. (bacillus of mouse-septicemia) to 5 X 1.5 p. (anthrax bacillus) for bacilli. Some of the spirilla are very long, that of relapsing fever measuring 40 p at times. This estimation of size almost prepares one for the estimation of weight given by Nageli, who found that an average bacterium under ordinary conditions weighed looooooinmr °f a milligram. The bacteria multiply in two ways : by direct division (fission) and by the development of spores, seeds, or eggs (sporulation). The more common mode is by binary division. The bacterium which is about to divide ap- pears a little larger than normal, and, if a spherical organism, more or less ovoid. No karyokinetic changes have been observed in the nuclei, though they may occur. When the conditions of nutrition are good, the process of fission progresses with astonishing rapidity. Buchner and others have determined the length of a generation to be from fifteen to forty minutes. The results of binary division, if rapidly repeated, are almost appalling. u Cohn calculated that a single germ could produce by simple fission two of its kind in an hour ; in the second hour these would be multiplied to four ; and in three days they would, if their surroundings were ideally favorable, form a mass which can scarcely be reckoned in numbers, or, if reckoned, could scarcely be imagined—four thousand seven hundred and seventy-two billions. If we reduce this number to weight, we find that the mass arising from this single germ would in three days weigh no less than seventy-five hundred tons." u Fortunately for us," says Woodhead, "they can seldom get food enough to carry on this appalling rate of development, and a great number die both for