1685) he expounded a system based on the records of nearly 300 eclipses.
- The range and importance of the scientific labours of Archimedes will be best understood from a brief account of those writings which have come down to us; and it need only be added that his greatest work was in geometry, where he so extended the method of exhaustion as originated by Eudoxus, and followed by Euclid, that it became in his hands, though purely geometrical in form, actually equivalent in several cases to integration, as expounded in the first chapters of our text-books on the integral calculus.
In his Zoonomia (1794) he expounded a theory of life and disease which had some resemblance to that of Brown, though arrived at (he says) by a different chain of reasoning.
The rise of speculative philosophy in Greece was coincident with the beginning of prose composition, and many of the earliest philosophers wrote in the prose of the Ionic dialect; others, however, and especially the writers of the Greek colonies in Italy and Sicily, expounded their systems in continuous poems composed in the epic hexameter.
To science, in which Lutheranism is expounded "nervose, solide, et copiose," in fact with a fulness of learning, a force of logic and .a minuteness of detail that had never before been approached.
But the inconsistency has in part been explained by Gunkel, who has rightly emphasized that the writer did not freely invent his materials but derived them in the main from tradition, as he held that these mysterious traditions of his people were, if rightly expounded, forecasts of the time to come.
His second great work, Meditations on the First Philosophy, which had been begun soon after his settlement in the Netherlands, expounded in more detail the foundations of his system, 1 Ouvres, vi.
In pure algebra Descartes expounded and illustrated the general methods of solving equations up to those of the fourth degree (and believed that his method could go beyond), stated the law which connects the positive and negative roots of an equation with the changes of sign in the consecutive terms, and introduced the method of indeterminate coefficients for the solution of equations.'
At Leiden, Utrecht, Groningen, Franeker, Breda, Nimeguen, Harderwyk, Duisburg and Herborn, and at the Catholic university of Louvain, Cartesianism was warmly expounded and defended in seats of learning, of which many are now left desolate, and by adherents whose writings have for the most part long lost interest for any but the antiquary.
With this end in view he expounded to the Berlin academy in 1849 a mode of determining an elliptic orbit from three observations, and communicated to that body in 1851 a new method of calculating planetary perturbations by means of rectangular coordinates (republished in W.
Here the jurists of Bologna appeared, armed with their new lore of Roman law, and expounded Justinians code in the interests of the German empire.
More and more it became identified with the synagogue, in which the Law was expounded: more and more it became a matter for the individual and his private life.
3 But the science of faith, as expounded by him, bears unmistakably the stamp both of Neo-Platonism and of Gnosticism.
In recent times the doctrine of Origen has been expounded in the great works on church history by Baur, Dorner, Bohringer, Neander, Miller (Geschichte der Kosmologie in der griechischen Kirche) and Kahnis (Die Lehre vom h.
Vieillot's was afterwards more fully expounded in the series of articles which he contributed between 1816 and 1819 to the second edition of the Nouveau dictionnaire d'histoire naturelle containing much valuable information.
Almost simultaneously with this he expounded more particularly before the Zoological Society, in whose Proceedings (1868, pp. 2 94-3 1 9) his results were soon after published, the groups of which he believed the Alectoromorphae to be composed and the relations to them of some outlying forms usually regarded as Gallinaceous, the Turnicidae and Pteroclidae, as well as the singular hoactzin, for all three of which he had to institute new groups - the last forming the sole representative of his Heteromorphae.
It was expounded by Geulincx and Malebranche to avoid the difficulty of Descartes's dualism of thought and extension, and to explain causation.
The law which is expounded in these assizes is a mixture of Frankish law with the Graeco-Roman law of the Eastern empire which prevailed among the native population of Syria.
Rouelle, while in England Humphry Davy expounded the same idea in the experimental demonstrations which gave his lectures their brilliant charm.
The clarification and spirit of research so clearly emphasized by Robert Boyle in the middle of the 17th century is reflected in the classification of substances expounded by Nicolas Lemery, in 1675, in his Cours de chymie.
Aphraates cites two passages from 3 Corinthians as words of the apostle, and Ephraem expounded them in his commentary on the Pauline Epistles.
The Christological theory of satisfaction expounded in the Cur Deus Homo falls beyond the scope of the present article.
In the preface to the first volume he regrets that except for Alfred's translations Englishmen had no means of learning the true doctrine as expounded by the Latin fathers.
It is doubtful whether the treatise in which this theory is fully expounded is as old as Hippocrates himself; but it was regarded as a Hippocratic doctrine, and, when taken up and expanded by Galen, its terms not only became the common property of the profession, but passed into general literature and common language.
It was definitely expounded in an almost complete form in his work De l'auscultation mediate, published in 1819.
Snellius, Arminius's old patron, now removed to Leiden, expounded the Ramist philosophy, and did his best to start his students on the search after truth, unimpeded by the authority of Aristotle.
To this end he examined such immediate vital products as blood, bile and urine; he analysed the juices of flesh, establishing the composition of creatin and investigating its decomposition products, creatinin and sarcosin; he classified the various articles of food in accordance with the special function performed by each in the animal economy, and expounded the philosophy of cooking; and in opposition to many of the medical opinions of his time taught that the heat of the body is the result of the processes of combustion and oxidation performed within the organism.
Early in 1503 Machiavelli drew up for Soderini a speech, Discorso sull y provisione del danaro, in which the duty and necessity of liberal expenditure for the protection of the state were expounded upon principles of sound political philosophy.
The unity expounded at first is simply an anima mundi, a living universe, but not intelligent.
All that has been expounded follows if the ego comes to consciousness.
There he became convinced that it was only through the House of Savoy that Italy could be liberated, and he expounded his views in Cavour's paper Il Risorgimento, in La Frusta and Il Piemonte, of which latter he was at one time editor.
His system has had little influence in Germany; Reinhold (q.v.) alone expounded it against the attacks of Fichte and Schelling.
The weighty reasonings of this work were expounded with all the additional force of a clear and animated style.
In its most simple and attractive form - one at the same time invested with the authority of the reputed holy author - their account of the creation of the world and of man; the origin of sin and redemption, the history of the Cross, and the disputes between body and soul, right and wrong, heaven and hell, were embodied either in "Historiated Bibles" (Paleya 1) or in special dialogues held between Christ and his disciples, or between renowned Fathers of the Church who expounded these views in a simple manner adapted to the understanding of the people (Lucidaria).
His philosophical views, which were identical with those of Crates (q.v.), he expounded by precept and example with great success, and had among his pupils 00 of the weight of a litre of Menippus of Sinope.
When Aristotle at the age of eighteen came to Athens, Plato, at the age of sixty-two, had probably written all his dialogues except the Laws; and in the course of the remaining twenty years of his life and teaching, he expounded " the socalled unwritten dogmas " in his lectures on the Good.
A new and conciliatory phase of patripassianism was expounded at a somewhat later date by Beryllus of Bostra, who, while holding the divinity of Christ not to be 181a, or proper to Himself, but irarpudi (belonging to the Father), yet recognized in His personality a new lrpbcrwlrov or form of manifestation on the part of God.
Semler (who in 1764 reprinted Wetstein's Prolegomena, and in comments of his own took over and expounded Bengel's views), collated many MSS., and distinguished three main groups: - the Alexandrian or Origenian (which roughly corresponded to Bengel's African), found in Abcl, the Egyptian version and Origen; the Western, found in D and Latin authorities; and the Constantinopolitan (Bengel's Asiatic), found in the later MSS.
1253), and expounded abroad by the great Dominican, Albertus Magnus (d.
The poets of that age, including Callimachus and Theocritus, were subsequently expounded by Theon, who flourished under Tiberius, and has been well described as " the Didymus of the Alexandrian poets."
He thereby gave the signal for the age-long conflict between Nominalism and Realism, which exercised the keenest intellects among the Schoolmen, while the crowning work of his life, the Consolatio Philosophiae (524), was repeatedly expounded and imitated, and reproduced in renderings that were among the earliest literary products of the vernacular languages of modern Europe.
In the 4th century Demosthenes was expounded and imitated by the widely influential teacher, Libanius of Antioch (c. 314c. 393), the pagan preceptor of St Chrysostom.