Circle sentence example

circle
  • The torches around the circle were lit.
    393
    144
  • She drew a circle in the air.
    122
    53
  • She walked in a circle until she found the strongest of the energy patterns in the vicinity and paused above it.
    123
    67
  • She absently drew a circle in the sand.
    153
    98
  • She held her hands up in a circle to demonstrate.
    82
    47
    Advertisement
  • But this circle never attained to the unity of a philosophical school.
    27
    17
  • The man at the center of the circle shifted.
    40
    34
  • The car made one more circle in the road and then lunged at the cliff.
    40
    36
  • As he drew her into the circle of his arms, she followed his steps, wrapping her arms around his neck.
    13
    10
  • The electric lamp a gives illumination of the webs in a dark field, nearly in the manner described for the Cape transit circle micrometer; the intensity of illumination is regulated by a carbon-resistance controlled by the screw b.
    4
    1
    Advertisement
  • The pace increased until a horse leaped over the wagon tongue and into the circle.
    2
    1
  • The environment in the Arctic Circle is very hostile.
    2
    1
  • Before long a mural circle was installed, and regular observations were instituted with it in 1833.
    2
    1
  • The university of Cracow, the sole source of knowledge in the vast Polish realm, still moved in the vicious circle of scholastic formularies.
    2
    1
  • Within the northern circle of the 8 lie the Mesozoic and Tertiary beds of the Paris basin, dipping inwards; within the southern circle lie the ancient rocks of the Central Plateau, from which the later beds dip outwards.
    0
    0
    Advertisement
  • The cheek-teeth strongly curved, forming from the base to the summit about a quarter of a circle, the concavity being directed outwards in the upper and inwards in the lower teeth.
    0
    0
  • - As the Sabbath was originally a religious feast, the question of the origin of the Sabbath resolves itself into an inquiry why and in what circle a festal cycle of seven days was first established.
    0
    0
  • What is certain is that the origin of the Sabbath must be sought within a circle that used the week as a division of time.
    0
    0
  • A circle of stones in the Iron Market of Linkoping marks the spot where Sigismund's adherents were beheaded in 1600.
    0
    0
  • In reality, however, it experiences fewer climatic variations than the other great continents, owing to its distance (28°) from the Antarctic circle and (11°) from the equator.
    0
    0
    Advertisement
  • In 1548 Charles laid before the states a scheme for making the Netherlands an integral part of the empire under the name of the Circle of Burgundy; but the refusal of the German Electors to make his only son Philip king of the Romans led him to abandon the project, which was never renewed.
    0
    0
  • In 1602 he made his second visit to the French capital, when his transcendent qualities brought him into the closest relations with the court of Henry IV., and made him the spiritual father of that circle of select souls who centred round Madame Acarie.
    0
    0
  • This result created a great sensation, and proved that Transatlantic electric wave telegraphy was quite feasible and not inhibited by distance, or by the earth's curvature even over an arc of a great circle 3000 m.
    0
    0
  • There are small detached portions in Waldeck, Thuringia, &c.; on the other hand the province enclaves the province of Oberhessen belonging to the grand-duchy of Hesse, and the circle of Wetzlar belonging to the Rhine Province.
    0
    0
  • Rome is plotected by a circle of forts from a coup de main from the sea, the coast, only 12 m.
    0
    0
    Advertisement
  • Stephen accuses Butler of reasoning in a circle.
    0
    0
  • The reduction of the tentacles in all these forms may be correlated with their mode of life, and especially with living in a constant current of water, which brings foodparticles always from one direction and renders a complete whorl or circle of tentacles unnecessary.
    0
    0
  • The sub-umbrella invariably shows a velum as an inwardly projecting ridge or rim at its margin, within the circle .of tentacles; hence the medusae of this sub-class are termed craspedote.
    0
    0
  • The Auronectae are peculiar deep-sea forms, little known except from Haeckel's descriptions, in which the large pneumatophore has a peculiar duct, termed the aurophore, placed on its lower side in the midst of a circle of swimming-bells.
    0
    0
  • The cloisters connect the cathedral with the church of Our Lady (Liebfrauenkirche), a beautiful building in the form of a circle intersected by a cross, with a lofty vault, built 1127-1143, and said to be the oldest Gothic church in Germany.
    0
    0
    Advertisement
  • A similar doctrine of emanation is to be found in the writings of Bernhard of Chartres, who conceives the process of the unfolding of the world as a movement in a circle from the most general to the individual, and from this back to the most general.
    0
    0
  • Slaves were continually escaping from their masters, and were harboured, on their way to Canada, by the circle in which Mrs Stowe lived.
    0
    0
  • A large circle of Talmudists lived there; at their head Joseph Qaro, then over eighty years of age.
    0
    0
  • Sometimes the original cambial ring is broken into several arcs, each of which is completed into an independent circle, so that several independent secondary vascular cylinders are formed.
    0
    0
  • The habit of forming mycorhizas is found more frequently in warm climates than cold; indeed, the percentage of the flora exhibiting this peculiarity seems to increase with a certain regularity from the Arctic Circle to the equator.
    0
    0
    Advertisement
  • The apex in this case will describe a circle, or rather a spiral, as it is elongating all the time, pointing to all points of the compass in succession.
    0
    0
  • The passage of the maximum turgidity round the stem may vary in rapidity in different places, causing the circle to be replaced by an ellipse.
    0
    0
  • It is continuous round the pole and roughly is bounded by the arctic circle.
    0
    0
  • Beyond the arctic circle some 200, or more than a quarter, are confined to the mountains of the northern hemisphere and of ~still more southern regions.
    0
    0
  • Aristotle defined the temperate zone as extending from the tropic to the arctic circle, but there is some uncertainty as to the precise meaning he gave to the term " arctic circle."
    0
    0
    Advertisement
  • Cook's second voyage was mainly intended to settle the question of the existence of such a continent once for all, and to define the limits of any land that might exist in navigable seas towards the Antarctic circle.
    0
    0
  • Having passed some time in the court circle, Sunderland was successively ambassador at Madrid, at Paris and at Cologne; in 1678 he was again ambassador at Paris.
    0
    0
  • In 1800 he settled at Westbury near Bristol, and began to determine star-places with a fine altitude and azimuth circle of 22 ft.
    0
    0
  • The Soldiers' and Sailors' Monument, erected by the state, stands in the circle in the centre of the city, rises to a height of 284.5 ft.
    0
    0
  • The ducal dignity rarely passed out of a circle of specially old and distinguished families.
    0
    0
    Advertisement
  • When the results proved unsatisfactory, remedies were sought in increased administrative supervision, draconian legislation and severe punishment, and no attempt was made to get out of the vicious circle.
    0
    0
  • The curves on railways are either simple, when they consist of a portion of the circumference of a single circle, or compound, when they are made up of portions of the circumference of two or more circles of different radius.
    0
    0
  • The inner circle B has a radius of 12 in.
    0
    0
  • On the central stone, which is a perfect circle, the emperor kneels.
    0
    0
  • He renewed former acquaintance, however, with the " poet " Mallet, and through him gained access to Lady Hervey's circle, where a congenial admiration, not to say affectation, of French manners and literature made him a welcome guest.
    0
    0
    Advertisement
  • It ought to be added that in each of the twentyfive years of his subsequent acquaintance with London " the prospect gradually brightened," and his social as well as his intellectual qualities secured him a wide circle of friends.
    0
    0
  • He first visited Paris, where he saw a good deal of d'Alembert, Diderot, Barthelemy, Raynal, Helvetius, Baron d'Holbach and others of that circle, and was often a welcome guest in the saloons of Madame Geoffrin and Madame du Deffand.
    0
    0
  • The worship of Baal of Tyre roused a small circle of zealots, and again the Phoenician marriage was the cause of the evil.
    0
    0
  • Turning, therefore, to a globe, Asia, viewed as a whole, will be seen to have the form of a great isosceles spherical triangle, having its north-eastern apex at East Cape (Vostochnyi), in Bering Strait; its two equal sides, in length about a quadrant of the sphere, or 6500 m., extending on the west to the southern point of Arabia, and on the east to the extremity of the Malay peninsula; and the base between these points occupying about 60° of a great circle, or 4 500 m., and being deeply indented by the Arabian Sea and the Bay of Bengal on either side of the Indian peninsula.
    0
    0
  • A great circle, drawn through East Cape and the southern point of Arabia, passes nearly along the coast-line of the Arctic Ocean, over the Ural Mountains, through the western part of the Caspian, and nearly along the boundary between Persia and Asiatic Turkey.
    0
    0
  • Asia Minor and the north-western half of Arabia lie outside such a great circle, which otherwise indicates, with fair accuracy, the north-western boundary of Asia.
    0
    0
  • In like manner a great circle drawn through East Cape and the extremity of the Malay peninsula, passes nearly over the coasts of Manchuria, China and Cochin-China, and departs comparatively little from the eastern boundary.
    0
    0
  • He was certainly not the Jew of Prussian Poland which his enemies declared him to be, and he has to this day a circle of devoted adherents.
    0
    0
  • On the other hand, in certain Polychaeta the bundles of setae are so extensive that they nearly form a complete circle surrounding the body; and in the Oligochaet genus Perichaeta (=Pheretima), and some allies, there is actually a complete circle of setae in each segment broken only by minute gaps, one dorsal, the other ventral.
    0
    0
  • The prostomium bears often processes, both dorsal and ventral, which in the Sabellids are split into the circle of branchial plumes, which surround or nearly surround the mouth in those tube-dwelling Annelids.
    0
    0
  • In some genera the setae are in vertical rows, and in certain Capitellidae these rows so nearly meet that an arrangement occurs reminiscent of the continuous circle of setae in the perichaetous Oligochaeta.
    0
    0
  • Moreover, the Arthurian story was the popular story of the day, and Tristan did not belong to the magic circle, though he was ultimately introduced, somewhat clumsily, it must be admitted, within its bounds.
    0
    0
  • It consisted of a graduated circle inside which another could slide, carrying two small tubes diametrically opposite, the instrument being kept vertical by a plumb-line.
    0
    0
  • When the two brothers combined, Antiochus again invaded Egypt (168), but was compelled to retire by the Roman envoy C. Popillius Laenas (consul 172), after the historic scene in which the Roman drew a circle in the sand about the king and demanded his answer before he stepped out of it.
    0
    0
  • The tree is very widely distributed, growing abundantly on most of the mountain ranges of northern and central Europe; while in Asia it occurs at least as far east as the Lena, and in latitude extends from the Altaic ranges to beyond the Arctic circle.
    0
    0
  • Patella, pallial branchiae forming a complete circle, no epipodial tentacles, British.
    0
    0
  • Orthodox theology has never, in any of the confessions, ventured beyond the circle which the mind of Origen first measured out.
    0
    0
  • Even then his attainments in the whole circle of the sciences were extraordinary.
    0
    0
  • For the present their means were very scanty, and, as the ardent royalism of his brother officers limited his social circle, he plunged into work with the same ardour as before, frequently studying fourteen or fifteen hours a day.
    0
    0
  • This is probably the sense in which we may interpret his tirade against Lord Whitworth at the diplomatic circle on the 13th of March.
    0
    0
  • Opinions were divided in the emperor's circle between a Russian and an Austrian princess; but the marked coolness with which overtures for the hand of the tsar's sister were received at St Petersburg, and the skill with which Count Metternich, the Austrian chancellor, let it be known that a union with the archduchess, Marie Louise, would be welcomed at Schonbrunn, helped to decide the matter.
    0
    0
  • The shaft-graves in the Mycenae circle are also a late type, paralleled in the later Cnossian cemetery.
    0
    0
  • In the Mycenae circle an altar seems to have been erected over the graves, and perhaps slaves were killed to bear the dead chiefs company.
    0
    0
  • That the series of natural animals is continuous, forming, as it were, a circle; so that, upon commencing at any one given point, and thence tracing all the modifications of structure, we shall be imperceptibly led, after passing through numerous forms, again to the point from which we started.
    0
    0
  • That there is a tendency in such groups as are placed at the opposite points of a circle of affinity ` to meet each other.'
    0
    0
  • That one of the five larger groups into which every natural circle is divided ` bears a resemblance to all the rest, or, more strictly speaking, consists of types which represent those of each of the four other groups, together with a type peculiar to itself.'
    0
    0
  • That every natural series of beings, in its progress from a given point, either actually returns, or evinces a tendency to return, again to that point, thereby forming a circle.
    0
    0
  • Angilbert was the Homer of the emperor's literary circle, and was the probable author of an epic, of which the fragment which has been preserved describes the life at the palace and the meeting between Charlemagne and Leo III.
    0
    0
  • The dome is the leading idea or motif in Byzantine ecclesiastical architecture; the domes are placed over square, not circular apartments, and their bases are brought to a circle by means of pendentives.
    0
    0
  • The name of Catholic Epistles is given to those letters (two of Peter, three of John, one of James, one of Jude) incorporated in the New Testament which (except 2 and 3 John) are not, like those of St Paul, addressed to particular individuals or churches, but to a larger and more indefinite circle of readers.
    0
    0
  • It covers an area of about one third of a circle and its radiating threads diverge from the mouth of a funnel-shaped tube resembling in every respect the tube of the last-mentioned genus.
    0
    0
  • Pico's works cannot now be read with much interest, but the man himself is still interesting, partly from his influence on Reuchlin and partly from the spectacle of a truly devout mind in the brilliant circle of half-pagan scholars of the FlOrentine renaissance.
    0
    0
  • Though never admitted into the inner circle of the king's associates, he found the king the most appreciative of readers and stimulating of companions, and the queen one of the most faithful of his friends; in biographical works and on other occasions he always defended the memory of the unfortunate monarch.
    0
    0
  • The great charm of Maecenas in his relation to the men of genius who formed his circle was his simplicity, cordiality and sincerity.
    0
    0
  • The circle in which a sphere is cut by a plane is called a "great circle," when the cutting plane passes through the centre of sphere.
    0
    0
  • Of the parallels of latitude, the equator only is a great circle.
    0
    0
  • The shortest line joining any two points is an arc of a great circle.
    0
    0
  • He had already gained a reputation in his narrow circle as a keen debater and a jovial companion, and it is said that he had several smuggling adventures.
    0
    0
  • Atlanta was laid out in the form of a circle, the radius being 14 m.
    0
    0
  • Within this circle, besides the largest lake, Windermere, is the highest point in England, Scafell Pike; yet Windermere is but 102 m.
    0
    0
  • The principal features of the district may be indicated by following this circle round from north, by west, south and east.
    0
    0
  • He is not identical with any known Babylonian deity, but he is the god of a people belonging to the Babylonian culture circle, probably of the inhabitants of the Red Sea littoral.
    0
    0
  • It has been supposed that in offering such worship the Greeks showed the effect of " Oriental " influence, but indeed we have not to look outside the Greek circle of ideas to explain it.
    0
    0
  • He gathered round him a small circle of his immediate followers known as the Societe des Egaux, soon merged with the rump of the Jacobins, who met at the Pantheon; and in November 1795 he was reported by the police to be openly preaching "insurrection, revolt and the constitution of 1793."
    0
    0
  • Thus the distance between New York and Oporto, following the former (great circle sailing), amounts to 3000 m., while following the rhumb, as in Mercator sailing, it would amount to 3120 m.
    0
    0
  • The shell thus formed is then cut along the line of the intended equator into two hemispheres, they are then again glued together and made to revolve round an axis the ends of which passed through the poles and entered a metal meridian circle.
    0
    0
  • The appointment of one man to preach, to the exclusion of others, whether he feels a divine call so to do or not, is regarded as a limitation of the work of the Spirit and an undue concentration of that responsibility which ought to be shared by a wider circle.
    0
    0
  • Only in familiar letters, prolegomena, and prefaces do we find the man Ficino, and learn to know his thoughts and sentiments unclouded by a mist of citations; these minor compositions have therefore a certain permanent value, and will continually be studied for the light they throw upon the learned circle gathered round Lorenzo in the golden age of humanism.
    0
    0
  • The alga by its own peculiar movement will soon form a radiating circle, perfectly free from dirt, around the coin, which may then be removed.
    0
    0
  • He was an enthusiastic and most useful leader of the volunteer movement from its beginning, and a writer, composer and singer of humorous and patriotic songs, some of which, as "The Three Foot Rule" and "They never shall have Gibraltar," became well known far beyond the circle of his acquaintance.
    0
    0
  • Exegesis of this sort is not the characteristic of any single circle, people or century; unscientific methods of biblical interpretation have prevailed from Philo's treatment of the Pentateuch to modern apologetic interpretations of Genesis, ch.
    0
    0
  • For the subjects under this heading see the articles CONIC SECTIONS; CIRCLE; CURVE; GEOMETRICAL CONTINUITY; GEOMETRY, Axioms of; GEOMETRY, Euclidean; GEOMETRY, Projective; GEOMETRY, Analytical; GEOMETRY, Line; KNOTS, MATHEMATICAL THEORY OF; MENSURATION; MODELS; PROJECTION; Surface; Trigonometry.
    0
    0
  • He became one of the famous circle of the transcendentalists, always keenly preserving his own individuality amongst such more or less potent natures as Emerson, Hawthorne and Margaret Fuller.
    0
    0
  • The terminal circle, whose longest diameter is 300 ft., is somewhat difficult to make out, as it is broken by the houses and gardens of a little hamlet.
    0
    0
  • Still further in the same direction is a third system at Kerlescan (Place of Burning), composed of 262 stones, which are distributed into thirteen lines, terminated by an irregular circle, and altogether extend over a distance of 1000 ft.
    0
    0
  • All this, and the almost mutinous discontent of his generals and his enemies of the court circle, shook his resolution of acting as anvil for the Russians, of whose delay also he was aware, and about the 8th of Octoberhedetermined to march out north-eastward across the French lines of communication and save his sovereign's army by taking refuge if necessary in Saxony.
    0
    0
  • Leonardo certainly was in relation with some persons belonging to that circle when he published in 1220 another more extensive work, De practica geometriae, which he dedicated to the imperial astronomer Dominicus Hispanus.
    0
    0
  • The surface of the inland ice forms in a transverse section from the west to the east coast an extremely regular curve, almost approaching an arc of a wide circle, which along Nansen's route has its highest ridge somewhat nearer the east than the west coast.
    0
    0
  • In Cathays Park there is also a "gorsedd" or bardic circle of huge monoliths erected in connexion with the eisteddfod of 1899.
    0
    0
  • The whole plan is drawn from three centres, the outer portion of the curves being arcs of a larger circle than the one used for the central portion; the complete circle of the orchestra is marked by a sill of white limestone, and greatly enhances the effect of the whole.
    0
    0
  • They consist of a long rectangular building, with a proscenium or column front which almost forms a tangent to the circle of the orchestra; at the middle and at either end of this proscenium are doors leading into the orchestra, those at the end set in projecting wings; the top of the proscenium is approached by a ramp, of which the lower part is still preserved, running parallel to the parodi, but sloping up as they slope down.
    0
    0
  • He soon changed his mind, however, and, admitting them to the circle of his intimates, loaded them with favours.
    0
    0
  • That he was the most attractive figure of a man of letters in his generation is admitted; and the acknowledged fascination of his character was deepened, and was extended over an extremely wide circle of readers, by the publication in 1899 of his Letters, which have subdued even those who were rebellious to the entertainment of his books.
    0
    0
  • No doubt it is still by his romances that Stevenson keeps the wider circle of his readers.
    0
    0
  • The literary life of "Lewis Carroll" became familiar to a wide circle of readers, but the private life of Charles Lutwidge Dodgson was retired and practically uneventful.
    0
    0
  • They may be traced from the Tian-shan to the Arctic Circle, and have an east-north-easterly direction in lower latitudes and a north-easterly direction farther north.
    0
    0
  • After holding minor educational posts, he obtained in 1791, through the influence of Herder, the appointment of rector of the gymnasium at Weimar, where he entered into a circle of literary men, including Wieland, Schiller, and Goethe.
    0
    0
  • His lucid style and the perfection of his experimental demonstrations drew to his lectures a crowd of enthusiastic scholars, on whom he impressed the importance of applied science by conducting them round the factories and workshops of the city; and he further found time to hold weekly "colloquies" on physical questions at his house with a small circle of young students.
    0
    0
  • The stories of a scorpion stinging itself to death when placed in a circle of burning coals are due to erroneous observation.
    0
    0
  • According to his view, all mountain ranges parallel to the same great circle of the earth are of strictly contemporaneous origin, and between the great circles a relation of symmetry exists in the form of a pentagonal reseau.
    0
    0
  • From Heaven and Earth sprang the remaining members of a circle analogous to the Olympic gods.
    0
    0
  • Mithras was the most important member of the circle.
    0
    0
  • The whole country is divided into the following counties: (a) The circle on the left bank of the Danube contains eleven counties: (1) Arva, (2) Bars, (3) Esztergom, (4) Hont, (5) Lipto, (6) Nograd, (7) Nyitra, (8) Pozsony (Pressburg), (9) Trencsen, (to) Turocz and (I I) Zolyom.
    0
    0
  • (b) The circle on the right bank of the Danube contains eleven counties: Baranya, Fejer, Gyor, Kornai-0m, Moson, Somogy, Sopron, Tolna, Vas, Veszprem and Zala.
    0
    0
  • (c) The circle between the Danube and Theiss contains five counties: Bacs-Bodrog, Csongrad, Heves, Jasz-Nagykun-Szolnok and Pest-Pilis-Solt-Kiskun.
    0
    0
  • (f) The circle between the Theiss and the Maros contains five counties: Arad, Csanfid, Krasso-Szoreny, Temes and Torontal.
    0
    0
  • The determination of the side of a regular heptagon which can be inscribed or circumscribed to a given circle was reduced to a more complicated equation which was first successfully resolved by Abul Gud.
    0
    0
  • These works possess considerable originality, and contain many new improvements in algebraic notation; the unknown (res) is denoted by a small circle, in which he places an integer corresponding to the power.
    0
    0
  • The component vibrations at P due to the successive zones are thus nearly equal in amplitude and opposite in phase (the phase of each corresponding to that of the infinitesimal circle midway between the boundaries), and the series which we have to sum is one in which the terms are alternately opposite in sign and, while at first nearly constant in numerical magnitude, gradually diminish to zero.
    0
    0
  • The question is thus reduced to that of finding the effect of the first zone, or central circle, of which the area is 7rXr.
    0
    0
  • The phase of the resultant is midway between those of the extreme elements, that is to say, a quarter of a period behind that due to the element at the centre of the circle.
    0
    0
  • 12 -7r2R4 x2 f 2 The roots of Jo(z) after the first may be found from We may compare this with the corresponding result for a rectangular aperture of width a, tlf = X/a; and it appears that in consequence of the preponderance of the central parts, the compensation in the case of the circle does not set in at so small an obliquity as when the circle is replaced by a rectangular aperture, whose side is equal to the diameter of the circle.
    0
    0
  • Again, if we compare the complete circle with a narrow annular aperture of the same radius, we see that in the latter case the first dark ring occurs at a much smaller obliquity, viz.
    0
    0
  • We will now investigate the total illumination distributed over the area of the circle of radius r.
    0
    0
  • In any case the proportion of the whole illumination to be found outside the circle of radius r is given by J02(z)+J12(z).
    0
    0
  • 17 APQ is the arc of the circle representative of the wavefront of resolution, the centre being at 0, and the radius OA being equal to a.
    0
    0
  • For the osculating circle at any point includes the whole of the y curve which lies beyond; and the successive convolutions envelop one another without intersection.
    0
    0
  • A year later they strangled fifty youths of the dead man's servants (all Scyths born) and fifty of the best horses, stuffed them and mounted them in a circle about the tomb.
    0
    0
  • In the German Mercury he published, in the years 1786-87, his Briefe fiber die Kantische Philosophie, which were most important in making Kant known to a wider circle of readers.
    0
    0
  • The circle of spearmen around the king grew less and less, and in the end James and a few of his nobles were alone left standing.
    0
    0
  • Within this nearly complete circle of crystalline rocks several geological formations have been determined, of which the age cannot be more definitely fixed than that they are vastly older than the Karroo formation and newer than the Swaziland schists.
    0
    0
  • This phenomenon is known as the "white rainbow" or "Ulloa's Ring or Circle," after Antonio de Ulloa.
    0
    0
  • A third hypothesis is that advanced by Karl Rieder (Der Gottesfreund von Oberland, Innsbruck, 1905), who thinks that not even Merswin himself wrote any of the literature, but that his secretary and associate Nicholas of Lowen, head of the House of St John at Griinenworth, the retreat founded by Merswin for the circle, worked over all the writings which emanated from different members of the group but bore no author's names, and to glorify the founder of the house attached Merswin's name to some of them and out of his imagination created "the Friend of God from the Oberland," whom he named as the writer of the others.
    0
    0
  • According to Stolba, beautiful crystals of pure tin can be obtained as follows: A platinum basin, coated over with wax or paraffin outside, except a small circle at the very lowest point, is placed on a plate of amalgamated zinc, lying on the bottom of a beaker, and is filled with a solution of pure stannous chloride.
    0
    0
  • 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.
    0
    0
  • The toga was a piece of woollen cloth in the form of a segment of a circle, 2 the chord of the arc being about three times the height of the wearer, and the height a little less than one-half of this length.
    0
    0
  • He belonged to the circle of Peisistratus at Athens, and was the founder of an Orphic community.
    0
    0
  • In the circle of Scipio he doubtless met the historian Polybius, who was brought to Italy in 167.
    0
    0
  • Like his brother Isaac, Jacob Abendana had a circle of Christian friends, and his reputation led to the appreciation of Jewish scholarship by modern Christian theologians.
    0
    0
  • Haller occupied in the new university of Gottingen (founded 1737) a position corresponding to that of Boerhaave at Leiden, and in like manner influenced a very large circle of pupils, The appreciation of his work in physiology belongs to the history of that science; we are only concerned here with its influence on medicine.
    0
    0
  • Though a prominent member of the inner Liberal circle and a stanch party man, it was not supposed by the public at this time that any ambition for the highest place could be associated with Sir Henry CampbellBannerman; but the divisions among the Liberals, and the rivalry between Lord Rosebery and Sir William Harcourt, made the political situation an anomalous one.
    0
    0
  • He was now introduced to a less questionable and even more distinguished coterie than Vendome's, to the famous "court of Sceaux," the circle of the beautiful and ambitious duchesse du Maine.
    0
    0
  • In the parish of Lochrutton, a few miles south-west of Maxwelltown, there is a good example of a stone circle, the "Seven Grey Sisters," and an old peel-tower in the Mains of Hills.
    0
    0
  • This company combines with the Metropolitan District to form the Inner Circle line, which has stations close to all the great railway termini north of the Thames.
    0
    0
  • For the special supervision and encouragement of indigenous primary education in monastic and in lay schools, each circle of inspection is divided into sub-circles corresponding with one or more of the civil districts, and each sub-circle is placed under a deputyinspector or a sub-inspector of schools.
    0
    0
  • There is a gold mine at Kyaukpazat in the Mawnaing circle of the Kathra district, where the quartz is crushed by machinery and treated by chemical processes.
    0
    0
  • He was a staunch supporter of Charlemagne's principles of government and educational reforms; he established schools, and by his own literary achievements showed himself a worthy member of the learned circle which graced the Carolingian court.
    0
    0
  • Thus the core of a circle or an ellipse is a concentric circle or ellipse of one quarter the size.
    0
    0
  • The varying direction of the inclining couple Pc may be realized by swinging the weight P from a crane on the ship, in a circle of radius c. But if the weight P was lowered on the ship from a crane on shore, the vessel would sink bodily a distance P/wA if P was deposited over F; but deposited anywhere else, say over Q on the water-line area, the ship would turn about a line the antipolar of Q with respect to the confocal ellipse, parallel to FF', at a distance FK from F FK= (k2-hV/A)/FQ sin QFF' (2) through an angle 0 or a slope of one in m, given by P sin B= m wA FK - W'Ak 2V hV FQ sin QFF', (3) where k denotes the radius of gyration about FF' of the water-line area.
    0
    0
  • For instance, in a uniplanar flow, radially inward towards 0, the flow across any circle of radius r being the same and denoted by 27rm, the velocity must be mfr, and 0=m log r,, y=m0, +4,i =m log re ie, w=m log z.
    0
    0
  • (7) Thus with g=o, the cylinder will describe a circle with angular velocity 2pw/(a+p), so that the radius is (a+p)v/2pw, if the velocity is v.
    0
    0
  • (to) Integrating over the base, to obtain one-third of the kinetic energy T, 3T = 2 pf '3 4R2(3x4-h4)dx/h 3 = pR2h4 / 1 35 V 3 (II) so that the effective k 2 of the liquid filling the trianglc is given by k 2 = T/Z p R 2 A = 2h2/45 = (radius of the inscribed circle) 2, (12) or two-fifths of the k 2 for the solid triangle.
    0
    0
  • Thus for m =2, the spheres are orthogonal, and it can be verified that a13 a2 3 aY3 i f /' = ZU (I - 13 - 7.2 3 + 3) ' (8) where a l, a2, a =a l a 2 /J (a 1 2 +a 2 2) is the radius of the spheres and their circle of intersection, and r 1, r 2, r the distances of a point from their centres.
    0
    0
  • Sometimes the cells are erected in a circle, so that the spout below the slicing machine revolving above them with a corresponding radius can discharge the slices into the centre of any of the cells.
    0
    0
  • The erection of the cells in straight lines may cause some little complication in charging, but it allows the hot spent slices to be discharged upon a travelling band which takes them,to an elevator, an arrangement simpler than any which is practicable when the cells are disposed in a circle.
    0
    0
  • Tschirnhausen, which are both related to the circle.
    0
    0
  • Dinostratus, a Greek geometer and disciple of Plato, discussed the curve, and showed how it effected a mechanical solution of squaring the circle.
    0
    0
  • The intercept on the axis of y is 2a/7r; therefore, if it were possible to accurately construct the curve, the quadrature of the circle would be effected.
    0
    0
  • Gaston Paris endeared himself to a wide circle of scholars outside his own country by his unfailing urbanity and generosity.
    0
    0
  • He was, it is true, again elected to the Chamber of Baden by the circle of Thiengen, but the government, no longer willing to respect his immunity as a deputy, refused its ratification.
    0
    0
  • The blackbird is found in every country of Europe, even breeding - although rarely - beyond the arctic circle, and in eastern Asia as well as in North Africa and the Atlantic islands.
    0
    0
  • The inner city, or Vienna proper, was formerly separated from the other districts by a circle of fortifications, consisting of a rampart, fosse and glacis.
    0
    0
  • While in exile he was elected supreme commander of the Knights of the Golden Circle in Ohio and received the Democratic nomination for governor of Ohio, but was defeated.
    0
    0
  • Even within the Arctic Circle they are in many localities abundant and excessively bloodthirsty during the short summer.
    0
    0
  • Creevey was a Whig and a follower of Fox, and his active intellect and social qualities procured him a considerable intimacy with the leaders of this political circle.
    0
    0
  • Her innate humanity and sound sense, however, led her gradually to return to her place in the family circle, and she began also to seek out and help the poor and the sick.
    0
    0
  • During the following years she became known to an increasingly wide circle, especially as a peacemaker, and entered into correspondence with many friends.
    0
    0
  • There is no need to doubt the reality of Catherine's exaltation, but it should be remembered that she and her circle were Dominicans, and that the stigmata of St Francis of Assisi were considered the crowning glory of the saint, and hitherto the exclusive boast of the Franciscans.
    0
    0
  • To this year, 1376, belongs the admission to Catherine's circle of disciples of Stefano di Corrado Maconi, a Sienese noble distinguished by a character full of charm and purity, and her healing of the bitter feud between his family and the Tolomei.
    0
    0
  • He was forced to resign office, but still continued to advise Louis, and was one of the inner circle of the king's friends, called by the revolutionists "the Austrian Committee."
    0
    0
  • The lophophore is a simple circle in all Polyzoa except in the Phylactolaemata, where it typically has the form of a horse shoe outlined by the bases of the tentacles.
    0
    0
  • Madame Comte conceived a dislike to the circle she found there, and this was the too early beginning of disputes which lasted for the remainder of their union.
    0
    0
  • It was true that the bent of his genius was slightly altered, in a direction which seemed less purely and austerely that of the highest art; but his concessions to public taste vastly added to the width of the circle he now addressed.
    0
    0
  • In 1857 two Arthurian poems had been tentatively and privately printed, as Enid and Nimue, or the True and the False, to see how the idyllic form would be liked by the inner circle of Tennyson's friends.
    0
    0
  • Verona, which is the chief military centre of the Italian province of Venetia, is now being surrounded with a circle of forts far outside the obsolete city walls.
    0
    0
  • The bishops of Eichstatt were princes of the Empire, subject to the spiritual jurisdiction of the archbishops of Mainz, and ruled over considerable territories in the Circle of Franconia.
    0
    0
  • If the box be round, they will seek to lead the eye away from the naked regularity of the circle by a pattern distracting attention, as, for example, by a zigzag breaking the circular outline, and supported by other ornaments.
    0
    0
  • Down to the end of this era painting was entirely in the hands of a patrician castecourtiers, priests, feudal nobles and their military retainers, all men of high education and gentle birth, living in a polished circle.
    0
    0
  • But it is impossible to admit within the circle of high-art productions these wooden figures of everyday men and women, unrelieved by any subjective element, and owing their merit entirely to the fidelity with which their contours are shaped, their muscles modelled, and their anatomical proportions preserved.
    0
    0
  • After the outbreak of the Civil War many of the Democrats of the Middle West, who were opposed to the war policy of the Republicans, organized the Knights of the Golden Circle, pledging themselves to exert their influence to bring about peace.
    0
    0
  • The great importance of the Knights of the Golden Circle and its successors was due to its opposition to the war policy of the Republican administration.
    0
    0
  • The demolition of the ramparts of Old Calais was followed by the construction of a new circle of defences, embracing both the old and new quarters, and strengthened by a deep moat.
    0
    0
  • And since, in the series for the circle, the second term was 2 3 3, I put m=?„....
    0
    0
  • He returned to Paris before the end of the year, was well received by his family, and mixed in the cultivated circle which frequented the salon of his mother, among them Lebrun-Pindare, Lavoisier, Lesueur, Dorat, Parmy, and a little later the painter David.
    0
    0
  • The domestic dog would be brought into the sacred circle through the increased veneration for animals, and the more pronounced view in later times of Anubis as servant, messenger and custodian of the gods.
    0
    0
  • By looking at them together we understand how much the comedy of Terence was able to do to refine and humanize the manners of Rome, but at the same time what a solvent it was of the discipline and ideas of the old republic. What makes Terence an important witness of the culture of his time is that he wrote from the centre of the Scipionic circle, in which what was most humane and liberal in Roman statesmanship was combined with the appreciation of what was most vital in the Greek thought and literature of the time.
    0
    0
  • But in the last years during which this circle kept together a new spirit appeared in Roman politics and a new power in Roman literature, the revolutionary spirit evoked by the Gracchi in opposition to the long-continued ascendancy of the senate, and the new power of Roman satire, which was exercised impartially and unsparingly against both the excesses of the revolutionary spirit and the arrogance and incompetence of the extreme party among the nobles.
    0
    0
  • Roman satire, though in form a legitimate development of the indigenous dramatic satura through the written satura of Ennius and Pacuvius, is really a birth of this time, and its author was the youngest of those admitted into the intimacy of the Scipionic circle, C. Lucilius of Suessa Aurunca (c. 180-103).
    0
    0
  • One or two of the circle of Catullus survived into that age; but an entirely new spirit came over the literature of the new period, and it is by new men, educated indeed under the same literary influences, but living in an altered world and belonging originally to a different order in the state, that the new spirit was expressed.
    0
    0
  • Amboyna Island lies off the south-west of Ceram, on the north side of the Banda Sea, being one of a series of volcanic isles in the inner circle round the sea.
    0
    0
  • Like his father, he was nowhere happier than in the family circle, and he was particularly attached to his -sister, the grand-duchess Xenia, who was seven years younger than himself.
    0
    0
  • The etiquette of the imperial circle, scenes from the law-courts and the recitationroom, the reunions of dilettanti and philosophers, the busy life of the capital or of the municipal town, the recreations of the seaside and of the country - all these he brings vividly before our eyes.
    0
    0
  • Lord Ashley now retired into Holland, where he became acquainted with Le Clerc, Bayle, Benjamin Furly, the English Quaker merchant, at whose house Locke had resided during his stay at Rotterdam, and probably Limborch and the rest of the literary circle of which Locke had been a cherished and honoured member nine or ten years before.
    0
    0
  • The Copenhagen post gave him, as well as some other diplomats, an exceptional opportunity of watching the principal moving powers of European politics from a point of vantage, as the matrimonial alliances of the Danish royal family occasionally brought together in a friendly family circle the widow of Alexander III, Nicholas II and the Prince of Wales who was to become King Edward VII.
    0
    0
  • But as the orbits are not centred on the sun, which is in a focus of each, the displacement of the seeming circle would be readily seen in the case of Mercury and of Mars.
    0
    0
  • His influence on literature, which he encouraged after the manner of Maecenas, was considerable, and the group of literary persons whom he gathered round him - including Tibullus, Lygdamus and the poet Sulpicia - has been called "the Messalla circle."
    0
    0
  • In order that no other settlements should encroach upon his centre of government, New Castle, the northern boundary was determined by drawing an arc of a circle, 12 m.
    0
    0
  • The measurement of position angles is provided for by a graduated circle attached to the head.
    0
    0
  • There is also a position circle, attached at m to the eye-end, provided with a slide to move the eye-piece radially from the axis of the telescope, and with a micrometer to measure the distance of an object from that axis.
    0
    0
  • Complete rotation of the head is obviously impossible because of the interference of the declination axis with the rods, and therefore, in some angles, objects cannot be measured in two positions of the circle.
    0
    0
  • It permits complete rotation of the tube and measurement of all angles in reversed positions of the circle; the handles that move the slides can be brought down to the eye-end, inside the tube, and consequently made to rotate with it; and the position circle may be placed at the end of the cradle next the eyeend where it is convenient of access.
    0
    0
  • The hour circle is also read by microscopes, and the instrument can be used in both positions (tube preceding and following) for elimination of the effect of flexure on the position angles.
    0
    0
  • When a shaft is driven by means of gearing the driving torque is measured by the product of the resultant pressure P acting between the wheel teeth and the radius of the pitch circle of the wheel fixed to the shaft.
    0
    0
  • The use of a coronet by the barons dates from the coronation of Charles II., and by letters patent of the 7th of August 1661 their coronet is described as a circle of gold with six pearls on it.
    0
    0
  • 12 times the area of the generating circle; the length of the curve is 8a.
    0
    0
  • Ptolemy Soter (reigned 323-285 B.C.), to whom, in the general distribution of Alexander's conquests, this kingdom had fallen, began to draw around him from various parts of Greece a circle of men eminent in literature and philosophy.
    0
    0
  • Their works are never national, never addressed to a people, but to a circle of learned men.
    0
    0
  • To perform their task adequately required from the critics a wide circle of knowledge; and from this requirement sprang the sciences of grammar, prosody, lexicography, mythology and archaeology.
    0
    0
  • In 1848 he removed to London to fill a post in the board of health, under Edwin Chadwick, and became a prominent member of the brilliant circle which included George Grote and John Stuart Mill.
    0
    0
  • In the circle of his family and intimate friends, away from the great world in which he made so poor a figure, he was greatly esteemed.
    0
    0
  • The Antarctic circle is drawn at 66° 30' S., but polar conditions of climate, &c., extend considerably north of the area thus enclosed.
    0
    0
  • A few months later Thomas Cranmer, who had been one of those to discuss sympathetically Luther's works in the little circle at Cambridge, and who believed the royal supremacy would tend to the remedying of grave abuses and that the pope had acted ultra vires in issuing a dispensation for the king's marriage with Catherine, was induced by Henry to succeed Warham as archbishop of Canterbury.
    0
    0
  • On the other hand he insisted on the synthetic character of this activity without which it was impossible to get beyond the circle of our own thoughts.
    0
    0
  • If there be any truth in this suggestion it seems likely that the last word of idealism, like the first, will prove to be that the type of the highest reality is to be sought for not in any fixed Parmenidean circle of achieved being but in an ideal of good which while never fully expressed under the form of time can never become actual and so fulfil itself under any other.
    0
    0
  • The defences consist of an inner line of works which preserve the place against surprise, and of an outlying chain of detached forts of fairly modern construction, forming roughly two-thirds of a circle of three miles radius.
    0
    0
  • Their arms comprise two short swords, a longer spear, a round shield, and they sometimes wear a coat of mail; a curious feature is their tactics of fighting in a circle of protecting shields.
    0
    0
  • There is some ground for believing that it was the third-abbot of Monte Cassino who began to spread a knowledge of the Rule beyond the circle of St Benedict's own foundations.
    0
    0
  • Probably the original tradition goes back to a time when Yahweh was recognized as a deity of a circle of connected tribes of which the Israelite tribes formed a part.
    0
    0
  • He places himself in a sense within the dogmatic circle by his declaration that guidance is to be expected from developments - in a " free Protestant evangelical spirit " - out of the old confessions of the Protestant churches.
    0
    0
  • His chief works are: Astronomical History of Observations of Heavenly Motions and Appearances (1634); Ecliptica prognostica (1634); Controversy with Longomontanus concerning the Quadrature of the Circle (1646?); An Idea of the Mathematics, 12m0 (1650); A Table of Ten Thousand Square Numbers (fol.; 1672).
    0
    0
  • The word is used also to designate the supporting frame or arms carrying the microscopes or verniers of a graduated circle.
    0
    0
  • From the Porte electric trams run to the harbour and also in a circle round the native city.
    0
    0
  • If a .JP solid circle be fixed in any one position and a tube be pivoted on its centre so as to move; and if the line C D be drawn upon the circle pointing towards any object Q in the heavens which lies in the plane of the circle, by turn ing the tube A B towards any other object P in the plane of the circle, the angle B 0 D will be the angle subtended by the two objects P and Q at the eye.
    0
    0
  • A collection of circles such as is the armillary sphere, if each circle were fitted with a view-tube, might be considered a complete astrolabe.
    0
    0
  • In fact the modern equatorial, and the altitude and azimuth circle are astrolabes in the strictest and oldest meaning of the term; and Tycho in one of his astrolabes came so near the modern equatorial that it may be taken as the first of the kind.
    0
    0
  • The term " mensuration " is therefore ordinarily restricted to the measurement of areas and volumes, and of certain simple curved lengths, such as the circumference of a circle.
    0
    0
  • This is the simplest case of generation of a plane figure by a moving ordinate; the corresponding figure for generation by rotation of a radius vector is a circle.
    0
    0
  • (i) The circle, and the solid figures allied to it, are of special importance.
    0
    0
  • The ordinary definition of a circle is equivalent to definition as the figure generated by the rotation of a radius of constant length in a plane, and is thus essentially analytical.
    0
    0
  • The ideas of the centre and of the constancy of the radius do not, however, enter into the elementary conception of the circle as a round figure.
    0
    0
  • The ratio 47r would thus first appear as the ratio of the average breadth of a circle to the greatest breadth; the interpretation of 7 as the ratio of the circumference to the diameter being a secondary one.
    0
    0
  • A collection of formulae relating to the circle, for instance, would comprise not only geometrical and trigonometrical formulae, but also approximate formulae, such as Huygens's rule (§ 91), which are the result of advanced analysis.
    0
    0
  • For fuller discussion reference should be made to Geometry and Trigonometry, as well as to the articles dealing with particular figures, such as Triangle, Circle, &C.
    0
    0
  • The length of the arc of a circle, for instance, is known if the length of the chord and its distance from the middle point of the arc are known; but it may be more convenient in such a case to use a formula such as Huygens's rule than to obtain a more accurate result by means of trigonometrical tables.
    0
    0
  • - The mensuration of the circle is founded on the property that the areas of different circles are proportional to the squares on their diameters.
    0
    0
  • Denoting the constant ratio by fir, the area of a circle is ira 2, where a is the radius, and ir=3.14159 approximately.
    0
    0
  • The expression 27ra for the length of the circumference can be deduced by considering the limit of the area cut off from a circle of radius a by a concentric circle of radius a - a, when a becomes indefinitely small; this is an elementary case of differentiation.
    0
    0
  • The lengths of arcs of the same circle being proportional to the angles subtended by them at the centre, we get the idea of circular measure.
    0
    0
  • The figure Abdc is a sector of an annulus, which is the portion of a circle left after cutting out a concentric circle.
    0
    0
  • By considering the circle as the limit of a polygon, it follows that the formulae (iii) and (v) of § 26 hold for a right circular cylinder and a right circular cone; i.e.
    0
    0
  • - For elementary mensuration the ellipse is to be regarded as obtained by projection of the circle, and the ellipsoid by projection of the sphere.
    0
    0
  • The circle, for instance, is regarded geometrically as a line described in a particular way, while from the point of view of mensuration it is a figure of a particular shape.
    0
    0
  • Certain approximate formulae for the length of an arc of a circle are obtained by methods similar to those of §§ 71 and 79.
    0
    0
  • Let a be the radius of a circle, and 0 (circular measure) the unknown angle subtended by an arc. Then, if we divide 0 into m equal parts, and L 1 denotes the sum of the corresponding chords, so that L i =2ma sin (0/2m), the true length of the arc is L1 +a9 3 - 5 + ..., where cp. =B/2m.
    0
    0
  • In 1589 Greenwood and Barrow composed " A true Description out of the Word of God of the visible Church," which represents the ideal entertained in their circle.
    0
    0
  • In 1848 he retired to Macon; but there, as in Paris, he was the centre of a brilliant circle, for he was a wonderful causeur, and an equally good listener, and had many interesting experiences to recall.
    0
    0
  • It forms an arc of a circle of which the convexity turns slightly to the north; neither bay nor promontory breaks the regularity of its outline.
    0
    0
  • As a straggler it has occurred within the Arctic Circle (as on the Varanger Fjord in Norway), as well as in Iceland and even Greenland; while it not unfrequently appears in Madeira and the Azores.
    0
    0
  • It became known as the "Delian problem" or the "problem of the duplication of the cube," and ranks in historical importance with the problems of "trisecting an angle" and "squaring the circle."
    0
    0
  • The idea of Oceanus as a river flowing unceasingly round the earth, which was regarded as a flat circle, was of long continuance.
    0
    0
  • Not only do the many intimate y y references to Egyptian history and customs support this position, but it is clear that the Jews of Celsus are not Western or Roman Jews, but belong to the Orient, and especially to that circle of Judaism which had received and assimilated the idea of the Logos.
    0
    0
  • I, the solemn introduction to the feet-washing: all up to here reports Jesus' signs and apologetic or polemical discourses to the outer world; hence onwards it pictures the manifestation of His glory to the inner circle of His disciples.
    0
    0
  • The facts of the problem would all appear covered by the hypothesis that John the presbyter, the eleven being all dead, wrote the book of Revelation (its more ancient Christian portions) say in 69, and died at Ephesus say in loo; that the author of the Gospel wrote the first draft, here, say in 97; that this book, expanded by him, first circulated within a select Ephesian Christian circle; and that the Ephesian church officials added to it the appendix and published it in 110 -120.
    0
    0
  • A small circle, say 2 or 3 mm.
    0
    0
  • 2, and round this circle equidistant points, say 8 or 12, are.
    0
    0
  • In the figure the radius of the inner circle is 3 mm.
    0
    0
  • Then the reflected ray QR and the ray reflected at R, and so on, will all touch the circle drawn with ON as radius.
    0
    0
  • A ray making an angle less than 0 with the tangent will, with its reflections, touch a larger circle.
    0
    0
  • Hence all rays between =0 will be confined in the space between the outer dome and a circle of radius OP cos 0, and the weakening of intensity will be chiefly due to vertical spreading.
    0
    0
  • At the instant that the original wave reaches F the wave from E has travelled to a circle of radius very nearly equal to EF-not quite, as S is not quite in the plane of the rails.
    0
    0
  • The wave from D has travelled to a circle of radius nearly equal to DF, that from C to a circle of radius nearly CF, and so on.
    0
    0
  • The second series consists of circles each of which is formed of two sets of perforations, in the first circle arranged as 4:5, in the next as 3:4, then as 2:3, 3: 5, 4: 7.
    0
    0
  • In the outer series is a circle divided by perforations into four sets, the numbers of aliquot parts being as 3: 4: 5: 6, followed by others which we need not further refer to.
    0
    0
  • Hence the note produced with any given circle of holes rises in pitch as the disk revolves more rapidly; and if, the revolution of the disk being kept as steady as possible, the tube be passed rapidly across the circles of the first series, a series of notes is heard, which, if the lowest be denoted by C, form the sequence C, C1, El, G1, C2, &c. In like manner, the first circle in which we have two sets of holes dividing the circumference, the one into say 8 parts, and the other into Io,.
    0
    0
  • The cylinder is mounted on an axis and turned round, while the style attached to the vibrating body is in light contact with it, and traces therefore a wavy circle, which, on taking off the paper and flattening it, becomes a wavy straight line.
    0
    0
  • If the two forks have the same frequency, it is easily seen that the figure will be an ellipse (including as limiting cases, depending on relative amplitude and phase, a circle and a straight line).
    0
    0
  • If the rod is circular in section and perfectly uniform the end will describe a circle, ellipse or straight line; but, as the elasticity is usually not exactly the same in all directions, the figure usually changes and revolves.
    0
    0
  • He allowed a limited number of teeth on the arc of a circle to strike against a card.
    0
    0
  • The circle was complete, but there were no Russians in the centre, and a map of the positions of the Japanese on the evening of the 10th shows the seventeen divisions thoroughly mixed up and pointing in every direction but that of the enemy.
    0
    0
  • All sections of the 1 The surfaces formed by revolving a circle about any chord also received attention at the hands' of the Greeks.
    0
    0
  • The surface and solid traced by the revolution of the lesser segment of a circle is termed a "spindle."
    0
    0
  • An "anchor ring" or "tore" results when a circle revolves about an axis in its plane.
    0
    0
  • If the plane does not contain the centre, the curve of intersection is a "small circle," and the solid cut off is a "segment."
    0
    0
  • The shortest distance between two points on a sphere is the arc of the great circle containing the points.
    0
    0
  • The extremities of the diameter perpendicular to a small circle are called the "poles" of that circle, and the distance from the pole to the circle, measured by the arc of the great circle through the pole, is the "polar distance" of the small circle.
    0
    0
  • The solid enclosed by a small circle and the radii vectores from the centre of the sphere is a "spherical sector"; and the solid contained between two spherical sectors standing on copolar small circles is a "spherical cone."
    0
    0
  • Calling the radius r, and denoting by the ratio of the circumference to the diameter of a circle, the volume is 31rr 3, and the surface 41rr2.
    0
    0
  • Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.
    0
    0
  • It is impossible to adopt the view that the Homeric poets turned the rude shepherd-god of Arcadia into a messenger, in order to provide him with a place in the Olympian circle.
    0
    0
  • Fauriel was introduced by Madame de Stael to the literary circle of Auteuil, which gathered round Destutt de Tracy.
    0
    0
  • Finally he quarrelled with Hume because the latter would not acknowledge all his own friends and Rousseau's supposed enemies of the philosophe circle to be rascals.
    0
    0
  • But he disliked the friction with his family circle which this policy produced.
    0
    0
  • Formerly it was the general belief that the herring inhabits the open ocean close to the Arctic Circle, and that it migrates at certain seasons towards the northern coasts of Europe and America.
    0
    0
  • Some have supposed the circle of slabs to be the retaining wall of a tumulus; but its structure is not solid enough for such a purpose, and it can hardly be anything but a sacred enclosure.
    0
    0
  • Outside the circle, especially to the south of it, numerous remains of houses of the Mycenaean age have been found, and others, terraced up at various levels, occupy almost the whole of the Acropolis.
    0
    0
  • The motive of some of the substitutions was to avoid the confusion which must have ensued from the duplication of previously existing native asterisms; thus, the Egyptian and Greek Lions were composed of totally different stars.: Abstractions in other cases replaced concrete objects, with the general result of effacing the distinctive character of the Greek zodiac as a " circle of living things."
    0
    0
  • Tradition ascribes their invention to Tajao, minister of the emperor Hwang-ti, who reigned c. 2697 B.e., and it can scarcely be placed later than the 7th century B.e.4 The Chinese circle of the " animals " obtained early a wide diffusion.
    0
    0
  • They were called the " media of the whole circle of the zodiac "; 11 each ten-day period of the Egyptian year was consecrated to the decanal god whose section of the ecliptic rose at its commencement; the body was correspondingly apportioned, and disease was cured by invoking the zodiacal regent of the part affected.
    0
    0
  • The decans are ranged on the outermost of its five concentric zones; the planets and the Greek zodiac in duplicate occupy the next three; while the inner circle is unaccountably reserved for the Chinese cyclical animals.
    0
    0
  • His satire Babie Kolo (The Women's Circle) gave offence on account of its personalities.
    0
    0
  • He introduced several practical improvements, such as the measurement of time to tenths of a second; and he prevailed upon the government to replace Bird's mural quadrant by a repeating circle 6 ft.
    0
    0
  • While his scientific work procured him an extraordinary reputation among his contemporaries, his private character and virtues, the charm of his social manners, his wit and powers of conversation, endeared him to a large circle of personal friends.
    0
    0
  • Outside this improved inner line, which includes the whole area of the attack and defence of 1870, lies a complete circle of detached forts and batteries of modern construction.
    0
    0
  • As a pupil of the famous Pomponius Laetus, and, subsequently, as a member of the circle of Cosmo de' Medici, he received a finished education.
    0
    0
  • If the pressure falls off uniformly, so that the pressure-curve is a straight line PDF sloping downwards and cutting AM in F, then the energy-curve will be a parabola curving downwards, and the velocity-curve can be represented by an ellipse, or circle with centre F and radius FA; while the time-curve will be a sinusoid.
    0
    0
  • 391, aroused in his own immediate circle an interest in Livy, the whole of whose history was still extant.
    0
    0
  • (1447-1455), who had belonged to the literary circle of Cosimo at Florence.
    0
    0
  • The north to south distance from Bering Strait to the Antarctic circle is 9300 m., and the Pacific attains its greatest breadth, 10,000 m., at the equator.
    0
    0
  • This literature is especially valuable because it illustrates contemporary Halaka and Haggada, and it illuminates the circle of thought with which Jesus and his followers were familiar; it thus fills the gap between the Old Testament and the authoritative Rabbinical Midrashim which, though often in a form several centuries later, not rarely preserve older material.'
    0
    0
  • These general principles and the novelty of the method ensured the success of the undertaking even after the original circle of exceptionally able men who founded it had been dispersed.
    0
    0
  • It does not, of course, follow that everyone who had shared in the divine afflatus of prophetic enthusiasm gave forth oracles; but the prophets as a class stood nearer than other men to the mysterious workings of Yahweh, and it was in their circle that revelation seemed to have its natural home.
    0
    0
  • As a man of practical aims he required a circle through Elisha.
    0
    0
  • Yahweh's kingdom cannot perish even for a time; nay, Isaiah argues that it must remain visible, and visible not merely in the circle of the like-minded whom he had gathered round him and who formed the first germ of the notion of the church, but in the political form of a kingdom also.
    0
    0
  • He traced his descent from Robert of Mortain, half brother of the Conqueror and first earl of Cornwall; he married about 1200 the daughter of William de Vernon, earl of Devon; and thus, from the beginning of his career, he stood within the circle of the great ruling families.
    0
    0
  • Either from its Pelasgic or Etrurian use or from Romans, this foot appears to have come into prehistoric remains, as the circle of Stonehenge (26) is 100 ft.
    0
    0
  • The totality of being may thus be conceived as a series of concentric circles, fading away towards the verge of non-existence, the force of the original Being in the outermost circle being a vanishing quantity.
    0
    0
  • Round the city lies a circle of populous suburbs - to the north-east Fitzroy (pop. 31,687) and Collingwood (32,749), to the east Richmond (37,824), to the south-east Prahran (40,441), to the south South Melbourne (40,619), to the south-west Port Melbourne (12,176), and to the north-west North Melbourne (18,120).
    0
    0
  • The circumstances which led to his admission into the apostolic circle are not stated; while the motives by which he was actuated in enabling the Jewish authorities to arrest Jesus without tumult have been variously analysed by scholars.
    0
    0
  • The umbrella-like body bears a circle of tentacles at the edge, whereby the body can be divided into a convex exumbrella or exumbral surface and a concave subumbrella or subumbral surface.
    0
    0
  • The eyes are refractive globules set in a cup of red pigment traversed by a nerve fibre, and lie on the proximal side of the body, directly on the postero-dorsal surface of the brain, or at a little distance from it, on the neck, often within the circle on the corona, and usually well within the transparent body.
    0
    0
  • It is generated by the extremities of a rod which is constrained to move so that its middle point traces out a circle, the rod always passing through a fixed point on the circumference.
    0
    0
  • The polar equation is r=a+b cos 0, where 2a= length of the rod, and b= diameter of the circle.
    0
    0
  • It is the inverse of a central conic for the focus, and the first positive pedal of a circle for any point.
    0
    0
  • The form of the limacon depends on the ratio of the two constants; if a be greater than b, the curve lies entirely outside the circle; if a equals b, it is known as a cardioid; if a is less than b, the curve has a node within the circle; the particular case when b= 2a is known as the trisectrix.
    0
    0
  • Properties of the limagon may be deduced from its mechanical construction; thus the length of a focal chord is constant and the normals at the extremities of a focal chord intersect on a fixed circle.
    0
    0
  • There are three fronts; the principal, towards College Green, is a colonnade of the Ionic order, with façade and two projecting wings; it connects with the western portico by a colonnade of the same order, forming the quadrant of a circle.
    0
    0
  • By Maximilian's administrative organization of the empire in 1500 the duchy of Westphalia was included as an appanage of Cologne in the scattered circle of the Lower Rhine.
    0
    0
  • The Westphalian circle which was formed at the same time comprised nearly all the rest of the modern province (including Mark) and the lands north of it between the Weser and the frontier of the Netherlands, also Verden, Schaumburg, Nassau, Wied, Lippe, Berg, Cleves, Julich, Liege, Bouillon and Cambrai.
    0
    0
  • The places of the objects were at the same time determined with the Dorpat meridian circle (Stellarum fixarum imprimis duplicium et multiplicium positiones mediae, St Petersburg, 1852 seq.).
    0
    0
  • After the manner of the sophists of the period, Bion travelled through Greece and Macedonia, and was admitted to the literary circle at the court of Antigonus Gonatas.
    0
    0
  • Du Bellay returned with Ronsard to Paris to join the circle of students of the humanities attached to Jean Daurat at the College de Coqueret.
    0
    0
  • He lived in a literary circle, and fell in love with the beautiful Vittoria Colonna.
    0
    0
  • When a jack-rabbit starts up before them, one of the coyotes bounds away in pursuit while the other squats on his haunches and waits his turn, knowing full well that the hare prefers to run in a circle, and will soon come round again, when the second wolf takes up the chase and the other rests in his turn..
    0
    0
  • When hunting antelope (prongbuck) and deer the coyotes spread out their pack into a wide circle, endeavouring to surround their game and keep it running inside their ring until exhausted.
    0
    0
  • To start the canter, which should always be done from the walk and not the trot, take up the curb rein a little and turn the horse's head slightly to the right, at the same time pressing the left leg behind the girth; the horse will then lead with the off (right) fore leg, which is generally preferred; but a well-broken hack should lead with either leg at command, and if he be cantered in a circle to the left he must lead with the near leg, as otherwise an ugly fall is likely to result from the leg being crossed.
    0
    0
  • In astronomy, the "celestial equator" is the name given to the great circle in which the plane of the terrestrial equator intersects the celestial sphere; it is consequently equidistant from the celestial poles.
    0
    0
  • The form of a circle is familiar to all; and we proceed to define certain lines, points, &c., which constantly occur in studying its geometry.
    0
    0
  • Any line drawn from an external point to cut the circle in two points, e.g.
    0
    0
  • " The circle was undoubtedly known to the early civilizations, its simplicity specially recommending it as an object for study.
    0
    0
  • In the succeeding three definitions the centre, diameter and the semicircle are defined, while the third postulate of the same book demands the possibility of describing a circle for every " centre " and " distance."
    0
    0
  • Having employed the circle for the construction and demonstration of several propositions in Books I.
    0
    0
  • Euclid devotes his third book entirely to theorems and problems relating to the circle, and certain lines and angles, which he defines in introducing the propositions.
    0
    0
  • The fourth book deals with the circle in its relations to inscribed and circumscribed triangles, quadrilaterals and regular polygons.
    0
    0
  • Reference should be made to the article Geometry: Euclidean, for a detailed summary of the Euclidean treatment, and the elementary properties of the circle.
    0
    0
  • In the article Geometry: Analytical, it is shown that the general equation to a circle in rectangular Cartesian co-ordinates is x 2 - { - y 2 + 2gx-}-2fy+c= o, i.e.
    0
    0
  • The equation x 2 +y 2 =o denotes a pair of perpendicular imaginary lines; it follows, therefore, that circles always intersect in two imaginary points at infinity along these lines, and since the terms x 2 +y 2 occur in the equation of every circle, it is seen that all circles pass through two fixed points at infinity.
    0
    0
  • Since the equation to a circle of zero radius is x 2 +y 2 =o, i.e.
    0
    0
  • The general equation to the circle in trilinear co-ordinates is readily deduced from the fact that the circle is the only curve which intersects the line infinity in the circular points.
    0
    0
  • If we compare (I) with the general equation of the second degree ua2 + v/ 32 +wy2 this equation to represent a circle we must have - kabc =vc 2 +wb 2 -2u'bc=wa g +uc 2 - 2v'ca = ub 2 +va - 2w'ab.
    0
    0