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.
Ars Poetica, 270-274), just as Addison declared Spenser to be no longer fitted to please "a cultivated age."
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.
His chief works are: De conjunctione animae et corporis humani; Exercitationes centum de cognitione Dei nostri; Logica vetus et nova; Initiatio philosophi, seu Dubitatio Cartesiana; a commentary on Descartes' Meditations; and Ars etymologica Teutonum.
We may therefore differentiate again in regard to any element ars where r>
In the latter case the sign is determined by -I raised to the same power as before, with the exception that Tux., replaces Tusk; but if one of these numbers be even the other must be uneven; hence A ik = - Aisï¿½ rk Moreover aik a,, aikarsAik +aisarkAis Aik, rk aik ars rs where the determinant factor is giyen by the four points in which the deleting lines intersect.
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.
From the above D p4 is an operator of order pq, but it is convenient for some purposes to obtain its expression in the form of a number of terms, each of which denotes pq successive linear operations: to accomplish this write d ars and note the general result exp (mlodlo+moldol +...
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.
Cardan or Cardano, who was at that time writing his great work, the Ars Magna, could not restrain the temptation of crowning his treatise with such important discoveries, and in 1 545 he broke his oath and gave to the world Tartalea's rules for solving cubic equations.
His solution, which is sometimes erroneously ascribed to Rafael Bombelli, was published in the Ars Magna.
Among the works which he translated into Syriac and of which his versions survive are treatises of Aristotle, Porphyry and Galen, 3 the Ars grammatica of Dionysius Thrax, the works of Dionysius the Areopagite, and possibly two or three treatises of Plutarch.4 His own original works are less important, but include a " treatise on logic, addressed to Theodore (of Merv), which is unfortunately imperfect, a tract on negation and affirmation; a treatise, likewise addressed to Theodore, On the Causes of the Universe, according to the Views of Aristotle, showing how it is a Circle; a tract On Genus, Species and Individuality; and a third tract addressed to Theodore, On the Action and Influence of the Moon, explanatory and illustrative of Galen's IIEpi rcptaiµwv r t µepwv, bk.
Medicina: sc. ars, art of healing, from mederi, to heal) may be used very widely, to include Pathology, the theory of the causation of disease, or, very narrowly, to mean only the drug or form of remedy prescribed by the physician - this being more properly the subject of Therapeutics (q.v.) and Pharmacology.
The medical art (ars medendi) divides itself into departments and subdepartments.
Kircher (Ars Magna Lucis et Umbrae), who notes elsewhere that Porta had taken some arrangement of projecting images from an Albertus, whom he distinguished from Albertus Magnus, and who was probably L.
Kircher (Ars Magna Lucis et Umbrae, 1646); J.
We enter on the practical part of the work; it deals with the ars oeconomica, and gives directions for building, gardening, sowing, reaping, rearing cattle and tending vineyards; it includes also a kind of agricultural almanac for each month in the year.
Have reference to the ars politica: they contain rules for the education of a prince and a summary of the forms, terms and statutes of canonical, civil and criminal law.
It cannot be said, however, that Ramus's innovations mark any epoch in the history of logic. His rhetorical leaning is seen in the definition of logic as the "ars disserendi"; he maintains that the rules of logic may be better learned from observation of the way in which Cicero persuaded his hearers than from a study of the Organon.
Another fragment called L'Invention sums Chenier's Ars Poetica in the verse "Sur des pensers nouveaux, faisons des vers antiques."
He was the author of an ars grammatica and commentaries on Plautus, Virgil's Aeneid and probably Horace.
Along the eastern slopes overlooking the Moselle valley, the latter having also a fortified bridge head at Ars-sur-Moselle.
His chief works were Oeffentliche Zuschrift von dem Phosphor Mirabil (1678); Ars vitriaria experimentalis (1689) and Laboratorium chymicum (1716).
4to; Ars Conjectandi, opus posthumum: accedunt tractatus de Seriebus Infinitis, et epistola (Gallice scripta) de Ludo Pilae Reticularis (Basiliae, 1713), I torn.
He was editor of the Ars Conjectandi of his uncle Jacques.
These seem to have been altogether devoted to expositions of a certain logical system which Bruno had taken up with great eagerness, the Ars Magna of Raimon Lull.
With the exception of a satiric comedy, Il Candelajo, all the works of this period are devoted to this logic - De Umbris Idearum, Ars Memoriae, De cornpendiosa architecture et complemento artis Lullii, and Cantus Circaeus.
These notions were shadows of the ideas, and the Ars Magna furnished him with a general scheme, according to which their relations and correspondences should be exhibited.
ARS -AN- DER-MOSEL, a town of Germany, in the imperial province Alsace-Lorraine, 5 m.
The spring mentioned by Ovid (Ars Amat.
There too he probably met Jacques Peletier du Mans, who had published a translation of the Ars poetica of Horace, with a preface in which much of the programme advocated later by the Pleiade is to be found in outline.
TEXvf ` PTJropu o': Ars rhetorica: On the art of oratory.
It remained for Spengel to entitle the work Anaximenis Ars Rhetorica in his edition of 1847, and thus substitute for the name of the philosopher Aristotle that of the sophist Anaximenes on his title-page.
Besides the Virgilian commentary, other works of Servius are extant: a collection of notes on the grammar (Ars) of Aelius Donatus; a treatise on metrical endings (De finalibus); and a tract on the different metres (De centum snetris).
Like the younger Cato its members kept up the old Roman fashion of dispensing with the tunic and leaving the arms bare (Horace, Ars Poetica, 50; Lucan, Pharsalia, ii.
Horace (Ars Poet.
In 1692 appeared his Logica sive Ars Ratiocinandi, and also Ontologia et Pneumatologia; these, with the Physica (1695), are incorporated with the Opera Philosophica, which have passed through several editions.
His Ars Critica appeared in 1696, and, in continuation, Epistolae Criticae et Ecclesiasticae in 1700.
In concert with the Giunta, he now edited an extensive collection of Italian letters, and in 1576 he published his commentary upon the Ars poetica of Horace.
He prepared editions, which won the praise of Edward Gibbon,' of the Ars poetica and Epistola ad Pisones (1749), and the Epistola ad Augustum (1751) of Horace.
His lost Ars (Juvenal, vii.
An extant Ars grammatica (discovered by Jovianus Pontanus in the 15th century) and other unimportant treatises on similar subjects have been wrongly ascribed to him.
He wrote also De Geometria speculativa (Paris, 1530); De Arithmetica practica (Paris, 1502); De Proportionibus (Paris, 1495; Venice, 1505); De Quadratura Circuli (Paris, 1 495); and an Ars Memorativa, Sloane MSS.
Dionysius of Halicarnassus (Ars rhet.
The later one is entirely in verse, and shows off the author's mastery of the artificial rules of prosody and poetics, according to which a poem, a maha-kavya, ought, according to the later writers on the Ars poetica, to be composed.
Walker's principal writings are: Of education, especially of young gentlemen (Oxford, 1673, and six other editions); Ars rationis ad mentem nominalium libri tres (Oxford, 1673); and Greek and Roman History illustrated by Coins and Medals (London, 1692).
We return then to the old view of Aristotle, that truth is believing in being; that sense is true of its immediate objects, and reasoning from sense true of its mediate objects; and that logic is the science of reasoning with a view to truth, or Logica est ars ratiocinandi, ut discernatur verum a (also.
He edited for Sebastian Gryphius, in the single year 1532, the medical Epistles of Giovanni Manardi, the Aphorisms of Hippocrates, with the Ars Parva of Galen, and an edition of two supposed Latin documents, which, however, happened unluckily to be forgeries.
He withdrew to Randa, there wrote his Ars major and Ars generalis, visited Montpellier, and persuaded the king of Majorca to build a Franciscan monastery at Miramar.
In 1289 he went to Montpellier, wrote his Ars veritatis inventiva, and removed to Genoa where he translated this treatise into Arabic. In 1291, after many timorous doubts and hesitations for which he bitterly blamed himself, Lull sailed for Tunis where he publicly preached Christianity for a year; he was finally imprisoned and expelled.
This rule is completed in his treatise, Ars catholicae fidei,.
On the other hand, it now seems practically demonstrated that Alain de Lille was the author of the Ars catholicae fidei and the treatise Contra haereticos.
305), bearing the title Ars Caesii Bassi de Metris is not by him, but chiefly borrowed by its unknown author from the treatise mentioned above.
In 1486 he published his first book, Ars versificandi et carminum, which created an immense sensation and gained him the honour of being crowned as the first poet laureate of Germany, the ceremony being performed by the emperor Frederick III.