1817.) Royal Institute of France. 239 
time art in its most important branches, and shows the means of 
facilitating these labours, and rendering them fruitful. 
Analysis of the Table of Military Naval Architecture in the 
18th and 19th Centuries. 
This writing explains very briefly the general plan of the work, 
and of the matters treated of in the first part only. ‘This first part 
treats of the architecture of a vessel in general. The second treats 
of the comparative architecture of different kinds of vessels of war, 
from those of the first rate to the smallest boat. The author has 
merely presented to the Class the two volumes in quarto which 
constitute the first part. The one gives a picture of the structure 
of a complete vessel, its masts, sails, tackling, stowage, equip- 
ment. The other shows the methods of constructing a vessel from 
the first framing to the completion, its launching, its entry into 
dock, its careening, &c. ‘Twenty plates of the largest atlas size 
accompany this first volume. The same number will accompany 
this. No known work on naval architecture takes in so vast a 
field. 
MANUSCRIPT MEMOIRS. 
M. Dupin has presented to the Class two memoirs, which are the 
sequel to his Developpemens de Geometrie, constituting the appli- 
eation of the mathematical theory of tracing routs. 
In the first the author considers routs as intended to join a finite 
number of isolated points on surfaces of an arbitrary curvature. 
In the second he supposes that the routs ought to serve for trans- 
port by infinitely small elements of masses which are continuous, 
linear, superficial, or solid. These are the problems which the 
labours of clearing and filling up offer in their greatest generality. 
M. Monge had treated the question on the supposition that the 
routs are constantly rectilinear. M. Dupin solves it on the suppo- 
sition that the routs are subjected to follow the inflexions of any 
curved soil whatever. 
A third memoir announced by the author contains the application 
of the preceding theories to the reflexion of pencils of light by a 
series of mirrors whose form and position are completely arbitrary. 
Finally, M. Dupin has submitted to the Class the description. 
which he drew up when he visited the arsenal at Rochefort of the 
machines contrived and executed in that arsenal by M. Hubert, a 
very distinguished naval engineer. The most remarkable of these 
machines, which are of great utility, and very ingenious, are the 
moulins «1 scie et a drague. 
Voyage of Discovery to the Terra Australis, performed in the 
Corvettes le Geographe, le Naturaliste, la Godlette, la Casuarina, 
during the Years 1800, 1801, 1802, 1808, and 1804, under the 
Command of Captain N. Baudin — Navigation and Geography 
drawn up by M. Louis Freycinet, Captain of a Frigate, Correspon- 
dent of the Institute of France, Commander of the Casuarina in 
the Expedition: with an Atlas. (Imprimerie Royale, 1815.) 
