MICROMETRIC METHODS 203 
consequently, the volume of Fig. D is 64 times greater 
than the volume of Fig. E. This last number, multiplied 
by the first number [1728], comes then to 110592, the 
number of the little animals like Fig. E which are as big 
(supposing their bodies to be round) as the sphere ABGC. 
But now I perceive a third sort of little animalcule, like 
the point F, whereof I judge the axis to be only a tenth 
part of that of the supposed animalcule E; wherefore 
1000 animalcules such as F are as big as one animalcule 
like E. This number, multiplied’ by the one foregoing 
[110592], then makes more than 110 million little animals 
[like F] as big as a sand-grain. 
12 10 a 1728 
12 10 + 64 
144 100 16 6912 
12 10 4 10368 
288 1000 64 110592 
144 1000 
1728 110592000 
Otherwise I reckon in this fashion’: Suppose the axis 
of Fig. Fis 1, and that of Fig. EK is 10; then, since the 
axis of Fig. D is 4 times as great as that of Fig. EH, the 
axis of D is 40. But the axis of the big sphere ABGC is 
12 times that of Fig. D; therefore the axis AG is equal 
to 480. This number multiplied by itself, and the pro- 
duct again multiplied by the same number, in order to 
get the volume of ABGC, gives us the result, as before, 
that more than 110 million living animalcules are as big 
as a grain of sand: 
1“ vermenigvuldig,’ in printed version, is a misprint. The MS. has, 
correctly, vermenigvuldigt. ; 
2 So in printed version. The MS. has merely Of anders (Or otherwise). 
