1. The Mathematical Correspondent, Edited by G. Baron, New York, 1804. 2. The Analyst, Edited by Robert Adrain, Philadelphia, 1808. 3. The Scientific Journal, Edited by W. Marratt, New York, 1818. 4. The Ladies' and Gentlemen's Diary, Edited by M. Nash, New York, 1820. 5. The Mathematical Diary, Edited by Robert Adrain and afterwards by Mr. Ryan, New York, 1825. 6. The Mathematical Miscellany, Edited by C. Gill, New York, 1836. [pp. 394-416]

400 Tite Ltfe of Lenhart the Ma titematic ian. [JULY
~vith a sister ill Frederick (Maryland.) His lips became so
paralized that he had to abandon his favourite recreatioW
of playing on the flute; aiid as lie was confined to tlie house
during the winter, and liis usual soi~rces of pleasure had
failed him, he fbund~itnecessary to have some mental employmeat more engrossing than the reading of light literature.
He therefore directed his attention to his early love, the
mathematics, solely with a view to amusement; and it was
from this period to 1839, inclusive, during the winter seasons,
for he never studied in the summer, that he accomplished
his profound researches in the Diophantine Analysis, and
this without the aid of books, and calculated his extensive
tables relative to cubes, in the midst of as great bodily suffering as hunian iiature can bear. We have often seen liim,
while engaged in his investigations, stop every three or four
minutes, and seize his limb, to. intercept as far as practicable,
the excruciating spasm, by pressure on he nerve, and then
resume his studies without the least apparent diversion of
mind, while the perspiration produced by the agony coursed
down his forehead. How admirably does this illustrate the
motto prefixed to his tables: "There are fbw difficulties
which will not yield to perseverance." And in order to show
the spirit of philosophic fortitude with which he bore these
tortures of the body, we will here insert an extract from a
letter written by him to Professor Gill of St. Paul's College,
New York. It is dated June 20th, 1837. "My body, my
dear sir, may be broken to pieces, and the mind in consequence may be injured; but I have a spirit that cannot be
broken; a cheerfulness and health survive that shall bear
me up superior to all the ills of life, and whilst I have an X
and a Y iu addition, and am capable of using il~em, I will
not, must not despair." In another letter to the same genileman, dated July 16, 1839, he says;-"Pardon the thought
-but my afflictions appear to me to be not unlike an infinite
series, composed of complicated terms, gradually and regularly increasing (in sadness and suffering as it were) and
becoming more and more involved; and hence the abtruseness of its summation; but which, when it shall be summed in the end, by the Great Arbiter and Master of all, it
is to be hoped that the formula resulting, will be found to be
not only entirely free from surds, but perfectly pure and rational, yea, even unto an integer." A more eloquent and at
the same time just description of his sufferings could not be
penned. His disease furnishes phenomena just as interest