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ftars, as well thofe that are colle&ed together in 
Glufters, fuch for example, as the Praefepe Cancri, 
7.6746086 fubtrad 2.5800692, twice the Log. of 19 | (the 
number of minutes between Elcdra and Maia) and the remainder 
will be 5.0945394, the proportional part for an unit correfponding 
to the natural number of which will be — .00000349; and 1500 
times this quantity, or — .CO5235O will be the Log. of the quan- 
tity, representing the probability, that no ftar out of 1 500 fcattered 
by chance would be within the diftance of 19 ^ minutes from 
Maia. If we follow the fame rule for the three remaining ftars 
Merope, Alcyone, and Atlas, we Shall find the fimilar Logs, cor- 
refponding to thefe to be — .0076650, — .OIOO395, and — 
.0330300 refpedively. The natural numbers correlponding to 
thefe five Logs, taken in the fame order, are .996173, .988018, 
.982506, .977148, and .926766, which feverally exprefs the 
refpedive probabilities, that no ftars out of 1500 Scattered by 
chance, would be within the fame diftances, at which the five 
ftars above mentioned are found to be, from Maia. The com- 
plements of thefe quantities to unity .003827, .011982, .017494, 
.022852, and .073234, which feverally exprefs the refpedive 
probabilities, on the contrary, that fuch ftars would be found 
within the diftances above fpecified from the ftar Maia, muft all 
be multiplied together, to determine the probability, that thefe 
events Should all take place at the fame time. The Sum of the 
Logs, of thefe numbers is — 9 + .12791 39 or — 8.8720861, which 
is therefore the Log. of all thefe numbers multiplied together; 
and fubtrading this number from o, or, what amounts to the 
fame thing, changing the fign, we Shall have the Log. of the 
number of times that this quantity is contained in unity, that is, 
about 74488COOO times; a fraction, therefore, whofe denominator 
is this number, and its numerator unity, will reprefent the pro- 
bability in favour of all thefe events taking place together; and a 
iradion, whofe denominator is the fame number, and its nume- 
rator the fame number lefs by an unit, will reprefent the proba- 
bility of the contrary. But, as this event might as well have 
happened to any othpr ftar as to Maia, we muft multiply this laft 
tradion into itfelf 1500 times, according to the fuppofed number 
of ftars, to find the probability, that it Should not have happened 
any where in the whole heavens. Now the proportional part for 
an unit upon this number is — .0000000005825, which multiplied 
the 
