1815.] Scientific Intelligence. AG3. 
wish for more details will find them, with the formulas themsélves, 
in the Bulletin de la Societé Philomatique for 1814. 
The memoir on the Probability of Evidence, by M. le Comte 
Laplace, read to the Class on the 8th of August, 1814, was not 
intended by the author to make a part of the collection of our 
memoirs. It was composed to complete a general treatise which 
appeared in November last, entitled Theorie Analytique des Proba- 
bilités, and in which M. Laplace has collected in the most natural 
order, and often with considerable augmentations, all that he has 
written at different times on this subject, with which he has been 
occupied since the commencement of his mathematical career, In 
this chapter, entirely new, which he has devoted to testimony, and 
which constitutes the last in the new edition, the author considers 
successively a single witness, or an indefinite number of witnesses, 
either simultaneous or successive. He estimates their probability, 
and the law according to whick it decreases. He applies his theory 
to the sentences given either in the first instance, or in the courts 
of appeal. In another chapter, which has the title of Additions, 
we find a new demonstration of the ratio of the circumference of a 
circle to its diameter in infinite series given by Wallis, and rigorous 
and direct demonstrations of some formulas, which in the course of 
the work had only been established by induction. 
We have already parabolic tables of four different forms: those 
of Halley, of Lacaille, of Berker, and of Saron, which may, at least 
the last three, claim the preference, according to the methods which 
we employ to determine the unknown orbit. M. Burckhardt, who 
has invented for this kind of calculation expeditious methods, which 
he frequently uses, has just given to his General Tables of the Para- 
bolic Movement of the Planets, a form more appropriated to these 
same methods, and which ought still to abridge the calculations. 
(Zo be continued.) 
ArTICLE XIII. 
SCLENTIFIC INTELLIGENCE; AND NOTICES OF SUBJECTS 
CONNECTED WITH SCIENCE, 
I. Theory of Crystals, 
In Fontenelle’s Eloge on Guglielmini, the well-known Italian 
Belopopner, who distinguished himself by his various treatises on 
ydrodynamics, he mentions a book of this philosopher published 
at Venice in 1705, and entitled De Salibus Dissertatio Physica 
Medico-Mechanica. Fontenelle’s account of this book is as fol- 
lows: “ The ground of the whole work is, that the first principles 
of common salt, vitriol, alum, and nitre, consist, from their ori- 
ginal creation, of fixed and unalterable principles, and are indi- 
