G44 Scientific Intelligence. (Marcu, 
into which is prohibited to Christians ; and, lastly, very interesting 
information respecting Damascus and Constantinople. 
The atlas contains §9 plates, among which the most remarkable 
are those relative to the temples of Mecca and Jerusalem, the map 
of the kingdom of Morocco, of Northern Africa, of the coast of 
Arabia on the Red Sea, and the itinerary of Ali Bey. 
Algebraical and Geometrical Analytical Essays. By M. J. de 
Stainville, repetiteur-adjoint to the Polytechnic School. Mad. 
Veuve Courcier, 1815. 
The object of the author is to develope some points of analysis 
which appeared to him susceptible of extension and simplification. 
We know that algebraic calculation often leads by certain roads 
to results which it is impossible to doubt, but which astonish and 
confound the calculator till he succeeds in giving a natural explana- 
tion to the paradox. We have a very celebrated example in the 
irreducible case of cubic equations. All mathematicians have been 
eager to throw light upon it. After all that they have said, the 
reader will still see with pleasure the new explanation given by M. 
de Stainville. We shall say the same thing of the method which 
he has found for biquadratic equations, of all the details which he 
gives of the binomial theorem of Newton, of the new and simple 
method which he follows to obtain formulas that express the sines, 
co-sines, and tangents, of any number whatever of angles, to de- 
monstrate the theorems of Cotes and Taylor, and of his different 
problems on the cycloid, the hyperbola, and the logarithmic. In all 
these developements the author makes a happy use of geometrical 
considerations, the advantage of which is to bring under a small 
number of principles truths that appear at first very complicated. 
The reader who is ignorant of them will acquire a knowledge 
of them with less labour: he who has long known them will per- 
ceive so much the better the intimate connexion which unites toge- 
ther all the parts of analytical science, and allows us to arrive at 
the same theorems by so many different ways. 
ArTICLE XI. 
SCIENTIFIC INTELLIGENCE; AND NOTICES OF SUBJECTS 
CONNECTED WITH SCIENCE, 
I, Allophan. 
Tuts name has been given by Stromeyer to a new mineral lately 
analysed by him, because it has very much the appearance of a 
copper salt. 
Its colour is intermediate between sky-blue and verdigris-green. 
Fracture conchoidal. Lustre intermediate between vitreous and 
waxy. Translucent, Specific gravity from 1°852 to 1889. It 
