35, to the Royal society at
London.

His scheme, being recommended to the society by the queen, was
considered by them with a degree of attention which, perhaps, would
not have been bestowed upon the attempt of a mathematician so young,
had he not been dignified with so illustrious a patronage. But it was
soon found, that, for want of books, he had imagined himself the
inventor of methods already in common use, and that he proposed no
means of discovering the longitude, but such as had been already tried
and found insufficient. Such will be very frequently the fate of
those, whose fortune either condemns them to study without the
necessary assistance from libraries, or who, in too much haste,
publish their discoveries.

This attempt exhibited, however, such a specimen of his capacity for
mathematical learning, and such a proof of an early proficiency, that
the Royal society of Berlin admitted him as one of their members in
1735.

P. 381. _Princes, who are commonly the last_.

Barretier, had been distinguished much more early by the margravin of
Anspach, who, in 1726, sent for his father and mother to the court,
where their son, whom they carried with them, presented her with a
letter in French, and addressed another in Latin to the young prince;
who afterwards, in 1734, granted him the privilege of borrowing books
from the libraries of Anspach, together with an annual pension of
fifty florins, which he enjoyed for four years.

In this place it may not be improper to recount some honours conferred
upon him, which, if distinctions are to be rated by the knowledge of
those who bestow them, may be considered as more valuable than those
which he received from princes.

In June, 1731, he was initiated in the university of Altdorft, and at
the end of the year 1732, the synod of the reformed churches, held at
Christian Erlang, admitted him to be present at their consultations,
and to preserve the memory of so extraordinary a transaction, as the
reception of a boy of eleven years into an ecclesiastical council,
recorded it in a particular article of the acts of the synod.

P. 383. _He was too much pleased with science and quiet_.

Astronomy was always Barretier's favourite study, and so much
engrossed his thoughts, that he did not willingly converse on any
other subject; nor was he so well pleased with the civilities of the
greatest persons, as with the conversation of the mathematicians. An
astronomical observation w