Newton gave no proof, and it was in the Ars Conjectandi (1713) that James Bernoulli's proof for positive integral values of the exponent was first published, although Bernoulli must have discovered it many years previously.
He published the Ars Geometriae, in two books, as given in these manuscripts; but critics are generally inclined to doubt the genuineness even of these.
I also read Tibullus, Catullus, Propertius, Horace (with Dacier's and Torrentius's notes), Virgil, Ovid's Epistles, with l"leziriac's commentary, the Ars amandi and the Elegies; likewise the Augustus and Tiberius of Suetonius, and a Latin translation of Dion Cassius from the death of Julius Caesar to the death of Augustus.
For since A 11 A 22 -Ar 2 =,,a 33, with similar relations, we have a number of relations similar to A 11 A 22 =AM 2, and either Ars = +11 (A rr A ss) or - (A r .A ss) for all different values of r and s.
The Ars magna of the former professed by means of a species of logical machine to give a rigid demonstration of all the fundamental Christian doctrines, and was intended by its author as an unfailing instrument for the conversion of the Saracens and heathen.
