166 Miscellaneous Intelligence. 
le Progrés de = Géométrie en France. Besides these, however, 
there are between two and three hundred of his memoirs in the 
Academic publications and scientific journals. 
is demonstrations were imi le for their neatness and per- 
fection of form. In geometry this quality is all important. 
Shortly after his appointment as era! of Higher Geometry i in 
the Faculty of Sciences at Paris, he published his TZraité de 
Géométrie Supérieure. This wa s some years later followed by his 
Traité des Sections Coniques. In these volumes,.as well as in his 
memoirs, M, Chasles uses in his demonstration s, three conceptions 
in addition to those of Euclid, the anhar monte Junction of four 
these conceptions he introduces many of the advantages of ana- 
lytic geometry into what will probably still be regarded as syn- 
thetic geometry. If asked what is the real addition thus made 
to Euclid we might answer: 1st, the conception of plus and minus 
segments of lines, and, 2d, the use implicitly of the relations of the 
roots and coefficients of the equation of the second degree. t 
is, he added to synthetic geometry the resources of the algebra 
of simple and quadratic equations. With the skill of a master he 
wrought into formal and logical connection the theorems that 
have enriched geometry in these later years, adding eae 
new propositions and new chapters of his own to the science. 
Rarely has there lived a man more steadfast in his qevnde to 
one object through life, more simple in character and aims, more 
charming in social intercourse, more honored and baees bg all 
who had the good fortune to know him 
First agar ngs of the Department of Statistics and Geology of the State 
of Indiana 4 pp. ie ee 1879. Devoted to State Statistics, Agri 
rane "Sil, Vital, et 
Ann of 
kering. 
James Smithson and his Bequest, by William J. Rhees. 159 pp. 8vo , Wash- 
ington, 1880. {Boiithaontan Miscellaneous magni Pgs This vo olume con- 
tains a sketch of the life of James Smithso list of his writings, notices of 
his death and tributes to his memory; it en a statement in regard to 
ntroduction to the Study of Indian Languages with words, phrases and sen- 
tences, to be collected by J. W. Powell. 4to, with several charts. Washington, 
1880. This volume is intended to aid those engaged in collecting linguistic and 
ethnographic facts from the Indian tribes. After a chapter on the alphabet, and 
another of “hints and explan sagging Ragas 1 dean together about 76 pages, there 
are 150 pages of schedules, for n taking notes, containing, in a mar nal 
column, lists of objects and se 8, with broad blank columns for the corre 
spon ding Indian terms and additional remarks, 
gle Gl) og ty cn eli le Sal ac 
