in the note on Algebra, which traces its progress since
the year 1494, before which 'it had only arrived at the solution of
problems of the second degree, inclusive.' A scrap of paper tells us that
Casanova 'did not like regular towns.' 'I like,' he says, 'Venice, Rome,
Florence, Milan, Constantinople, Genoa.' Then he becomes abstract and
inquisitive again, and writes two pages, full of curious, out-of-the-way
learning, on the name of Paradise:

The name of Paradise is a name in Genesis which indicates a place of
pleasure (lieu voluptueux): this term is Persian. This place of pleasure
was made by God before he had created man.

It may be remembered that Casanova quarrelled with Voltaire, because
Voltaire had told him frankly that his translation of L'Ecossaise was a
bad translation. It is piquant to read another note written in this style
of righteous indignation:

Voltaire, the hardy Voltaire, whose pen is without bit or bridle;
Voltaire, who devoured the Bible, and ridiculed our dogmas, doubts, and
after having made proselytes to impiety, is not ashamed, being reduced to
the extremity of life, to ask for the sacraments, and to cover his body
with more relics than St. Louis had at Amboise.

Here is an argument more in keeping with the tone of the Memoirs:

A girl who is pretty and good, and as virtuous as you please, ought not
to take it ill that a man, carried away by her charms, should set himself
to the task of making their conquest. If this man cannot please her by
any means, even if his passion be criminal, she ought never to take
offence at it, nor treat him unkindly; she ought to be gentle, and pity
him, if she does not love him, and think it enough to keep invincibly
hold upon her own duty.

Occasionally he touches upon aesthetical matters, as in a fragment which
begins with this liberal definition of beauty:

Harmony makes beauty, says M. de S. P. (Bernardin de St. Pierre), but the
definition is too short, if he thinks he has said everything. Here is
mine. Remember that the subject is metaphysical. An object really
beautiful ought to seem beautiful to all whose eyes fall upon it. That is
all; there is nothing more to be said.

At times we have an anecdote and its commentary, perhaps jotted down for
use in that latter part of the Memoirs which was never written, or which
has been lost. Here is a single sheet, dated 'this 2nd September, 1791,'
and headed Souvenir:

The Prince de Rosenberg said to me, a