218 Bibliography. 
the anterior Trachyloma of Bridel renders inadmissible. In the Rhyn- 
chosporee, we are pleased to find that Nees has adopted the genus Psi- 
locarya of Torrey; to which he has added eight species. The Ptilo- 
chata, N. ab E., nearly approaches Eriochete, (sub Rhynchospora,) 
Gray, in Torr. mon. Cyp. A good figure and full analysis is given of 
Scirpus (Isolepis) subsquarrosus, Muhl., under the name of Hemicarpha 
subsquarrosa, from which a second species from St. Louis, H. Drum- 
mondii, NN. ab E., (in a note,) does not appear to differ; and the genus 
is at length referred to the Hypolytree. 
The fifth fasciculus of this Flora also contains the Smilacee and Di- 
oscoree, by Prof. Grisebach, with six plates. Each fasciculus compri- 
ses a portion of a very interesting and graphic introductory chapter by 
Prof. Martius, upon Brazilian vegetation generally, with illustrations of 
some of its more remarkable features and peculiarities in different re- 
gions. ‘This is illustrated by a series of spirited Tabula physiognomice, 
in tinted lithography, eighteen of which are already published. ‘The 
whole Flora will form a series of monographs, prepared by some of 
the ablest botanists in Europe, (each with its letter-press and plates in- 
dependently numbered,) which, if we mistake not, may be separately 
purchased. The subscription price is very moderate, viz. from thirty 
to thirty-three florins for each volume of 40-50 leaves and as many 
(uncolored) plates. A. Gr. 
5. Binomial Theorem and Logarithms ; for the use of the Midship- 
men at the Naval School, Philadelphia. Perkins & Purves, 1843.— 
This is the title of a work recently published, from the pen of Profes- 
sor Chauvenet, of the United States Naval School, Philadelphia. The 
author modestly remarks in his preface, that his original design was 
to use the work in manuscript, but he found it necessary to enlarge 
it so much as to render its use in that form impracticable. He says, 
‘* in preparing it for the press, the original design has been still farther 
extended, and the work now assumes the form of a distinct, if not a 
complete, treatise upon the binomial theorem and logarithms.” 
We have read the work somewhat carefully ; although it has been 
prepared especially for the use of the midshipmen, we consider it wor- 
thy of general circulation. Such a work has long been a desideratum 
among elementary mathematical treatises. The subjects upon which it 
treats, although intimately connected, and in some measure dependent 
upon each other, have hitherto been treated of disconnectedly, and could 
only be studied properly by reference to different works. Here we have 
a complete and thorough treatise upon the subjects on which the author 
writes. He has introduced into it every thing necessary to make it so 5 
at the same time he has omitted every thing not absolutely essential to 
that purpose. 
