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The existing volcanoes belong to four separate arcs or chains.

31These semicircles and the circles A'A' are joined by tangents and short arcs struck from the centre of the figure.

11elements received symbols composed of circles, arcs of circles, and lines, while certain class symbols, such as1W for metals, - - foracids, for alkalies, for salts, U for calces, &c., were used.

12If the two places are upon the same meridian or upon the equator the exact distance separating them is to be found by reference to a table giving the lengths of arcs of a meridian and of the equator.

00The disk really consists of a series of successive arcs which increase in size until they burst.

00The 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.

00The product MH is first determined by suspending the magnet horizontally, and causing it to vibrate in small arcs.

00In these arrangements, which were similar if not identical, the furnace charge was crushed to a fine powder and passed through two or more electric arcs in succession.

00But Landen's capital discovery is that of the theorem known by his name (obtained in its complete form in the memoir of 1775, and reproduced in the first volume of the Mathematical Memoirs) for the expression of the arc of an hyperbola in terms of two elliptic arcs.

00In the South African war improvised detachable deflection scales of wood or iron placed over the fore-sight, called gun arcs, were used, but this device was clumsy, inaccurate and insufficient, as it only gave about 30° right or left deflection, and only a sight that admitted of all-round laying could really satisfy the requirements.

00While the majority of his researches bear on one or other of the subjects just mentioned, others deal with such widely different topics as the birds of Greenland, ocean temperatures, the Gulf Stream, barometric measurement of heights, arcs of meridian, glacier transport of rocks, the volcanoes of the Hawaiian Islands, and various points of meteorology.

00The 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.

00Repeating the process with the arcs AC and CB, and continuing the repetition indefinitely, we divide up the required area and the remainder of the triangle ATB into corresponding elements, each element of the former being double the corresponding elements of the latter.

00The main girders rest on the revolving platform, and the ends of the bridge are circular arcs fitting the fixed roadway.

00Let measurements along the beam be represented according to any convenient scale, so that calling L 1 and 1 1 the lengths to be drawn on paper, we have L = aL i; now let r1, r 2, r 3 be a series of radii such that r 1 = R i /ab, r 2 = R 2 /ab, &c., where b is any convenient constant chosen of such magnitude as will allow arcs with the radii, r 1, &c., to be drawn with the means at the draughtsman's disposal.

0072 with arcs of the length 1,, l2, l3, &c., and with the radii r1, r 2, &c. (note, for a length 2l 1 at each end the radius will be infinite, and the curve must end with a straight line tangent to the last arc), then let v be the measured deflection of this curve from the straight line, and V the actual deflection of the bridge; we have V = av/b, approximately.

00They exhibit in an exaggerated form the irregularities of distribution visible in our zodiacal constellations, and present the further anomaly of being frequently reckoned as twenty-eight in number, while the ecliptical arcs they characterize are invariably twenty-seven.

00Here the " signs " and the " constellations " of the lunar zodiac form two essentially distinct systems. The ecliptic is divided into twenty-seven equal parts, called bhogas or arcs, of Boo' each.

00His first published writings upon the subject consist of two papers in the Memoires de l'Academie Francaise for 1786 upon elliptic arcs.

00Carbon powder compressed into a rod was slowly passed through a tube in which it was subjected to the action of one or more electric arcs.

00I „ Logarithms of the ratios of arcs to sines from 04 00000 to 0 4.05000, and log sines throughout the quadrant 4 „ Logarithms of the ratios of arcs to tangents from 0 4 00000 to 0 4.05000, and log tangents throughout the quadrant 4 The trigonometrical results are given for every hundred-thousandth of the quadrant (to" centesimal or 3" 24 sexagesimal).

00From these results the mensuration of any figure bounded by circular arcs and straight lines can be determined, e.g.

00the area of a lune or meniscus is expressible as the difference or sum of two segments, and the circumference as the sum of two arcs.

00The islands of these outer arcs consist chiefly of crystalline schists and limestones, overlaid by Jurassic, Cretaceous and Tertiary deposits.

00Eruptive rocks of supposed Cretaceous age are met with in these outer islands, but Tertiary and recent volcanic lavas are confined to the innermost arc. Halmahera lies outside these arcs.

00A spherical angle is a particular dihedral angle; it is the angle between two intersecting arcs on a sphere, and is measured by the angle between the planes containing the arcs and the centre of the sphere.

00These are known as the "arcs of Lowitz," having been first described in 1794 by Johann Tobias Lowitz (1757-1804).

00Luminous arcs (T), tangential to the upper and lower parts of each halo, also occur, and in the case of the inner halo, the arcs may be prolonged to form a quasi-elliptic halo.1 The physical explanation of halos originated with Rene Descartes, who ascribed their formation to the presence of icecrystals in the atmosphere.

00The "arcs of Lowitz" (L) are probably due to small oscillations of the vertical prisms.

00The "tangential arcs" (T) were explained by Young as being caused by the thin plates with their axes horizontal, refraction taking place through alternate faces.

00Similarly, the tangential arcs to the halo of 46° are due to refraction through faces inclined at 90°.

00He was buried at Port Royal; in 1711, on the desecration of the cemetery, his, remains were transferred to the church of St Andre des Arcs in Paris.

00those heated by electric arcs, or " induction " ones, i.e.

00A pair of electric arcs play between these electrodes and the molten steel, passing through the layer of slag, G, and generating much heat.

00The instrument is similar to that described above, except that the vertical circle is not continuous, but is formed of two arcs.

00(1) Arcs.

00The ends of arcs frequently extend to the horizon, but often one or both ends stop short of this.

00Several arcs may be visible at the same time.

00These may be nearly straight and regular in outline, as if broken portions of arcs; frequently they are ribbon-like serpentine forms showing numerous sinuosities.

00- TWO Types Of Auroral Arcs.

00Arcs, bands and, generally speaking, the more regular and persistent forms, show their greatest frequencies earlier in the night than rays or patches.

00was the hour of most frequent occurrence for arcs and bands, whereas patches had their maximum frequency at I I P.M.

00In temperate latitudes auroral arcs are seldom near the zenith, and there is reason to believe them at very great heights.

00Very elaborate observations have been made during several Arctic expeditions of the azimuths of the summits of auroral arcs.

00At Cape Thorsden (7) in 1882-1883 the mean azimuth derived from 371 arcs was 24° 12' W., or 11°27' to the W.

00of S.), the mean derived from the 113 arcs observed between midnight and 6 A.M.

00At Jan Mayen (8) in 1882-1883 the mean azimuth of the summit of the arcs was 28.8° W.

00At Jan Mayen (8) in 1882-1883, out of 177 arcs whose position was accurately determined, 44 were seen in the north, their summits averaging 38.5° above the northern horizon; 88 were seen in the south, their average altitude above the southern horizon being 33.5° while 45 were in the zenith.

00The following data for the apparent angular width of arcs were obtained at Cape Thorsden, the arcs being grouped according to the height of the lower edge above the horizon.

00contained thirty arcs whose altitudes did not exceed 11 ° 45' Group II.

00thirty arcs whose altitudes lay between 12° and 35°; and Group III.

00thirty arcs whose altitudes lay between 36° and 80 The altitude.

00At the same time, arcs near the horizon often appeared wider than others near the zenith.

00Furthermore, Gyllenskold says that when arcs mounted, as they not infrequently did, from the horizon, their apparent width might go on increasing right up to the zenith, or it might increase until an altitude of about 45° was reached and then diminish, appearing much reduced when the zenith was reached.

00Of course the phenomenon might be due to actual change in the arc, but it is at least consistent with the view that arcs are of two kinds, one form constituting a layer of no great vertical depth but considerable real horizontal width, the other form having little horizontal width but considerable vertical depth, and resembling to some extent an auroral curtain.

00According to numerous observations made at Cape Thorsden, the apparent angular velocity of arcs increases on the average with their altitude.

00Dividing the whole number of arcs, 156, whose angular velocities were measured into three numerically equal groups, according to their altitude, the following were the results in minutes of arc per second of time (or degrees per minute of time): - Each group contained auroras which appeared stationary.

00In 1882-1883 the direction of motion of arcs was from north to south in 62% of the cases at Jan Mayen, and in 58% of the cases at Cape Thorsden.

00The apparent motion of arcs is sometimes of a complicated character.

00Regular arcs were selected in most cases, but the lowest height obtained was for a collection of rays forming a curtain which was actually situated between the two stations.

00Heights of arcs have often been calculated from the apparent altitudes at stations widely apart in Europe or America.

00Such extremely bright auroras seem very rare, however, even in the Arctic. There is a general tendency for both bands and rays to appear brightest at their lowest parts; arcs seldom appear as bright at their summits as nearer the horizon.

00It is not unusual for arcs and bands to look as if pulses or waves of light were travelling along them; also the direction in which these pulses travel does not seem to be wholly arbitrary.

00The framework is attached to two independent circular arcs Cs and rr having their centres at 0 and provided with clamps D and A on the axis F of the instrument.

00The Philippines appear to be the remnants of a somewhat complex system of mountain arcs, which from their similarity of form and direction seem to be in some way connected with the mountain ranges of Annam.

00North of the Lycaonian plateau lies another zone of folding which may be divided into the East Pontian and West Pontian arcs.

00I by great-circle arcs.

00Hence, resolving along the tangents to the arcs BC, CA, respectively, we have ~ (3)

00If weights be suspended from various points of a hang ing chain, the intervening por tions will form arcs of equal ~ catenaries, since the horizontal tension (wa) is the same for all.

00A condition equivalent to the above, and necessarily connected with it, is, that at each pair of points of contact the inclinations of the curves to their radii-vectores shall be equal and contrary; or, denoting by r1, rf the radii-vectores at any given pair of points of contact, and s the length of the equal arcs measured from a certain fixed pair of points of contact dri/ds= drm/ds; (18)

00In order that there may always be at least two pairs of teeth in action, each of those arcs should be equal to the pitch.

00It appears from experience that the mean obliquity should not exceed 15; therefore the maximum obliquity should be about 30; therefore the equal arcs DI and ID should each be one-sixth of a circumference; therefore the circumference of the describing circle should be six limes the pitch.

00Describe the figures of teeth for the developed arcs as for a pair of spur-wheels; then wrap the developed arcs on the cones, so as to make them coincide with the pitch-circles, and trace the teeth on the conical surfaces.

00The various improvements in electric illuminants, such as the Nernst oxide lamp, the tantalum and osmium incandescent lamps, and improved forms of arc lamp, enclosed, inverted and flame arcs, are described under Lighting: Electric. Between 1890 and 1900, electric traction advanced rapidly in the United States of America but more slowly in England.

00The two outer arcs of the chart are occupied by the scales for the weight of the goods in lb and oz., and the rest of the chart is occupied by a series of 25 concentric arcs which show the money values of the goods for 25 rates per lb.

00The rates per lb are inscribed on the index arm at points corre - sponding to the values on the concentric arcs of the chart, and the [[[Automatic]] values are indicated on the chart by the toothed edge of the index arm.

00On the customer's side of the machine the weight of the goods is indicated on a pair of arcs by a separate index arm precisely in the same manner as on the seller's side.

00Consider two circles partially drawn so that it does not appear whether the circles, if completed, would or would not intersect in real points, say two arcs of circles; then we can, by means of a third circle drawn so as to intersect in two real points each of the two arcs, determine a right line, which, if the complete circles intersect in two real points, passes through the points, and which is on this account regarded as a line passing through two (real or imaginary) points of intersection of the two circles.

00Gunter's Quadrant, an instrument made of wood, brass or other substance, containing a kind of stereographic projection of the sphere on the plane of the equinoctial, the eye being supposed to be placed in one of the poles, so that the tropic, ecliptic, and horizon form the arcs of circles, but the hour circles are other curves, drawn by means of several altitudes of the sun for some particular latitude every year.

00The result of these repetitions is that, during a number of revolutions, the special mutual actions of the two planets at these three points of their orbits repeat themselves, while the actions corresponding to the three intermediate arcs are wanting.

00in diameter; he substituted equatorial for zodiacal armillae, thus definitively establishing the system of measurements in right ascension and declination; and improved the graduation of circular arcs by adopting the method of " transversals."

00A much more important daughter of Zeus in Homer is Athene, the " greyeyed " or (as some take yXavtc arcs, rather improbably) the " owlheaded " goddess.

00Of practical importance are the following constructions: - (I) Given the axes; (2) given the major axis and the foci; (3) given the focus, eccentricity and directrix; (4) to construct an ellipse (approximately) by means of circular arcs.

00(4) If the axes be given, the curve can be approximately constructed by circular arcs in the following manner: - Let AA', BB' be the axes; determine D the intersection of lines through B and A parallel to the major and minor axes respectively.

00Then with centre 0 1 and radius OJ, =OA 1, describe an arc. By reflecting the two arcs thus described over the centre the ellipse is approximately described.

00Akad., 1899) have gone back to Tait's method at high temperatures, employing arcs of parabolas for limited ranges.

00He used arcs of great circles instead of arcs of great circles instead of arcs of parallel circles on the sphere.

00Upper and lower tangent arcs and a faint 22º halo.

00The two dark arcs at the drawing's base are no doubt colorful infralateral arcs from horizontal column crystals.

00XDrawArc draws a single circular or elliptical arc draws a single circular or elliptical arc, and XDrawArcs draws multiple circular or elliptical arcs.

00carbon arcs shielded from the weather by a glass cover were used to create tramcar flashes.

00Access to the ski area of Les Arcs is via a high-speed 6-seater chairlift out of Plan Peisey.

00collidetars may be flung out from the colliding galaxies to form long arcs.

00galaxystars may be flung out from the colliding galaxies to form long arcs.

00Points, lines, polygons, circles, arcs, and smooth curves can be freely intermixed with text.

00Otherwise, the intersecting pixels of intersecting pixels of intersecting arcs are drawn multiple times.

00Magmas that form island arcs are produced by the partial melting of the descending plate and/or the overlying oceanic lithosphere.

00Both arcs are similar but the 23° parhelion best matches the photographs and visual appearance.

00Otherwise, the intersecting pixels of intersecting arcs are drawn multiple times.

00While orbiting the planet you notice three strange clusters of rocky debris drawn out into long arcs.

00reddened sky with their beams, which swept back and forth in wide arcs.

00The books being released now fit into arcs telling a section of an ongoing saga.

00snipe circles high above in a series of roller-coaster arcs, = each descent marked by a loud and distinctive sound.

00Arcs for the rev counter and fuel gage peek out from the sides of the large speedometer and are flanked by warning lights.

00widened to take punched decoration in the form of interlocking arcs in La Tene style.

00Outside this are three arcs of large cells showing characters typical of the endodermis in a vascular plan.t; these are interrupted by strands ofnarrow, elongated, thick-walled cells, which send branches into the little brown scales borne by the rhizome.

00Sometimes 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.

00Sometimes the activity of the successive cambiums simply results in the formation of concentric rings or arcs of secondary xylem and phloem.

00If the development of secondary tissues is to proceed further, arcs of cambium are formed in the pericycle external to the primary xylems, and the two sets of cambial arcs join, forming a conti,riuous, wavy line on transverse section, with bays opposite the primary phloems and promontories opposite the primary xylems. Owing to the resistance offered by the hard first-formed secondary xylem, the bays are pushed outwards as growth proceeds, and the wavy line becomes a circle.

00From its intersection with A'A' arcs are struck cutting B in two points.

00These semicircles and the circles A'A' are joined by tangents and short arcs struck from the centre of the figure.

00This last determination was effected through four arcs as follows: I.

00North of this lies a broad belt in which the Mesozoic deposits and even the lower divisions of the Tertiary system are thrown into folds which extend in a series of arcs from west to east and now form the principal mountain ranges of central Asia.

00There are considerable tracts which are but little disturbed, but these tracts are enclosed within the arcs formed by the folds, and the zone taken as a whole is distinctly one of crumpling.

00elements received symbols composed of circles, arcs of circles, and lines, while certain class symbols, such as1W for metals, - - foracids, for alkalies, for salts, U for calces, &c., were used.

00If the two places are upon the same meridian or upon the equator the exact distance separating them is to be found by reference to a table giving the lengths of arcs of a meridian and of the equator.

00The disk really consists of a series of successive arcs which increase in size until they burst.

00The 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.

00The product MH is first determined by suspending the magnet horizontally, and causing it to vibrate in small arcs.

00The bows assume the form of concentric circular arcs, having their common centre on the line joining the eye of the observer to the sun.

00In these arrangements, which were similar if not identical, the furnace charge was crushed to a fine powder and passed through two or more electric arcs in succession.

00In practice, in these furnaces, it is possible for small local arcs to be temporarily set up by the shifting of the charge, and these would contribute to the heating of the mass.

00The existing volcanoes belong to four separate arcs or chains.

00But Landen's capital discovery is that of the theorem known by his name (obtained in its complete form in the memoir of 1775, and reproduced in the first volume of the Mathematical Memoirs) for the expression of the arc of an hyperbola in terms of two elliptic arcs.

00In the South African war improvised detachable deflection scales of wood or iron placed over the fore-sight, called gun arcs, were used, but this device was clumsy, inaccurate and insufficient, as it only gave about 30Ã‚° right or left deflection, and only a sight that admitted of all-round laying could really satisfy the requirements.

00While the majority of his researches bear on one or other of the subjects just mentioned, others deal with such widely different topics as the birds of Greenland, ocean temperatures, the Gulf Stream, barometric measurement of heights, arcs of meridian, glacier transport of rocks, the volcanoes of the Hawaiian Islands, and various points of meteorology.

00The 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.

00Repeating the process with the arcs AC and CB, and continuing the repetition indefinitely, we divide up the required area and the remainder of the triangle ATB into corresponding elements, each element of the former being double the corresponding elements of the latter.

00To illustrate the method, suppose that we use the chordal area C1, and that the trapezette is in fact parabolic. The difference between C 1 and the true area is made up of a series of areas bounded by chords and arcs; this difference becoming less as we subdivide the figure into a greater number of strips.

00The main girders rest on the revolving platform, and the ends of the bridge are circular arcs fitting the fixed roadway.

00Let measurements along the beam be represented according to any convenient scale, so that calling L 1 and 1 1 the lengths to be drawn on paper, we have L = aL i; now let r1, r 2, r 3 be a series of radii such that r 1 = R i /ab, r 2 = R 2 /ab, &c., where b is any convenient constant chosen of such magnitude as will allow arcs with the radii, r 1, &c., to be drawn with the means at the draughtsman's disposal.

0072 with arcs of the length 1,, l2, l3, &c., and with the radii r1, r 2, &c. (note, for a length 2l 1 at each end the radius will be infinite, and the curve must end with a straight line tangent to the last arc), then let v be the measured deflection of this curve from the straight line, and V the actual deflection of the bridge; we have V = av/b, approximately.

00They exhibit in an exaggerated form the irregularities of distribution visible in our zodiacal constellations, and present the further anomaly of being frequently reckoned as twenty-eight in number, while the ecliptical arcs they characterize are invariably twenty-seven.

00Here the " signs " and the " constellations " of the lunar zodiac form two essentially distinct systems. The ecliptic is divided into twenty-seven equal parts, called bhogas or arcs, of Boo' each.

00His first published writings upon the subject consist of two papers in the Memoires de l'Academie Francaise for 1786 upon elliptic arcs.

00But, as originally pointed out by Euler, the difficulty can be turned if we notice that in the ordinary trajectory of practice the quantities i, cos i, and sec i vary so slowly that they may be replaced by their mean values,, t, cos 7 7, and sec r t, especially if the trajectory, when considerable, is divided up in the calculation into arcs of small curvature, the curvature of an arc being defined as the angle between the tangents or normals at the ends of the arc.

00In the application of Siacci's method to the calculation of a trajectory in high angle fire by successive arcs of small curvature, starting at the beginning of an arc at an angle 4) with velocity v4), the curvature of the arc 4-8 is first settled upon, and now (80) n=1(0+0) is a good first approximation for n.

00Institution, 1888, employing Siacci's method and about twenty arcs; and Captain Ingalls, by assuming a mean tenuity-factor T=0.68, corresponding to a height of about 2 m., on the estimate that the shot would reach a height of 3 m., was able to obtain a very accurate result, working in two arcs over the whole trajectory, up to the vertex and down again (Ingalls, Handbook of Ballistic Problems).

00Carbon powder compressed into a rod was slowly passed through a tube in which it was subjected to the action of one or more electric arcs.

00I „ Logarithms of the ratios of arcs to sines from 04 00000 to 0 4.05000, and log sines throughout the quadrant 4 „ Logarithms of the ratios of arcs to tangents from 0 4 00000 to 0 4.05000, and log tangents throughout the quadrant 4 The trigonometrical results are given for every hundred-thousandth of the quadrant (to" centesimal or 3" 24 sexagesimal).

00From these results the mensuration of any figure bounded by circular arcs and straight lines can be determined, e.g.

00the area of a lune or meniscus is expressible as the difference or sum of two segments, and the circumference as the sum of two arcs.

00He also gave approximate rectifications of circular arcs after the manner of Huygens; and, what is very notable, he made an ingenious and, according to J.

00The islands of these outer arcs consist chiefly of crystalline schists and limestones, overlaid by Jurassic, Cretaceous and Tertiary deposits.

00Eruptive rocks of supposed Cretaceous age are met with in these outer islands, but Tertiary and recent volcanic lavas are confined to the innermost arc. Halmahera lies outside these arcs.

00A spherical angle is a particular dihedral angle; it is the angle between two intersecting arcs on a sphere, and is measured by the angle between the planes containing the arcs and the centre of the sphere.

00These are known as the "arcs of Lowitz," having been first described in 1794 by Johann Tobias Lowitz (1757-1804).

00Luminous arcs (T), tangential to the upper and lower parts of each halo, also occur, and in the case of the inner halo, the arcs may be prolonged to form a quasi-elliptic halo.1 The physical explanation of halos originated with Rene Descartes, who ascribed their formation to the presence of icecrystals in the atmosphere.

00The "arcs of Lowitz" (L) are probably due to small oscillations of the vertical prisms.

00The "tangential arcs" (T) were explained by Young as being caused by the thin plates with their axes horizontal, refraction taking place through alternate faces.

00Similarly, the tangential arcs to the halo of 46Ã‚° are due to refraction through faces inclined at 90Ã‚°.

00He was buried at Port Royal; in 1711, on the desecration of the cemetery, his, remains were transferred to the church of St Andre des Arcs in Paris.

00those heated by electric arcs, or " induction " ones, i.e.

00A pair of electric arcs play between these electrodes and the molten steel, passing through the layer of slag, G, and generating much heat.

00The instrument is similar to that described above, except that the vertical circle is not continuous, but is formed of two arcs.

00(1) Arcs.

00The ends of arcs frequently extend to the horizon, but often one or both ends stop short of this.

00Several arcs may be visible at the same time.

00These may be nearly straight and regular in outline, as if broken portions of arcs; frequently they are ribbon-like serpentine forms showing numerous sinuosities.

00- TWO Types Of Auroral Arcs.

00Arcs, bands and, generally speaking, the more regular and persistent forms, show their greatest frequencies earlier in the night than rays or patches.

00was the hour of most frequent occurrence for arcs and bands, whereas patches had their maximum frequency at I I P.M.

00In temperate latitudes auroral arcs are seldom near the zenith, and there is reason to believe them at very great heights.

00Very elaborate observations have been made during several Arctic expeditions of the azimuths of the summits of auroral arcs.

00At Cape Thorsden (7) in 1882-1883 the mean azimuth derived from 371 arcs was 24Ã‚° 12' W., or 11Ã‚°27' to the W.

00of S.), the mean derived from the 113 arcs observed between midnight and 6 A.M.

00At Jan Mayen (8) in 1882-1883 the mean azimuth of the summit of the arcs was 28.8Ã‚° W.

00Combining the results from arcs and bands, Carlheim-GyllenskÃld gives the " anomaly " of the auroral meridian at Jan Mayen as 5.7Ã‚° E.

00At Jan Mayen (8) in 1882-1883, out of 177 arcs whose position was accurately determined, 44 were seen in the north, their summits averaging 38.5Ã‚° above the northern horizon; 88 were seen in the south, their average altitude above the southern horizon being 33.5Ã‚° while 45 were in the zenith.

00But clearly, whilst the arcs and bands, and to a lesser extent the patches, showed a marked preference for the magnetic meridian, the rays showed no such preference.

00The following data for the apparent angular width of arcs were obtained at Cape Thorsden, the arcs being grouped according to the height of the lower edge above the horizon.

00contained thirty arcs whose altitudes did not exceed 11 Ã‚° 45' Group II.

00thirty arcs whose altitudes lay between 12Ã‚° and 35Ã‚°; and Group III.

00thirty arcs whose altitudes lay between 36Ã‚° and 80 The altitude.

00At the same time, arcs near the horizon often appeared wider than others near the zenith.

00Furthermore, Gyllenskold says that when arcs mounted, as they not infrequently did, from the horizon, their apparent width might go on increasing right up to the zenith, or it might increase until an altitude of about 45Ã‚° was reached and then diminish, appearing much reduced when the zenith was reached.

00Of course the phenomenon might be due to actual change in the arc, but it is at least consistent with the view that arcs are of two kinds, one form constituting a layer of no great vertical depth but considerable real horizontal width, the other form having little horizontal width but considerable vertical depth, and resembling to some extent an auroral curtain.

00According to numerous observations made at Cape Thorsden, the apparent angular velocity of arcs increases on the average with their altitude.

00Dividing the whole number of arcs, 156, whose angular velocities were measured into three numerically equal groups, according to their altitude, the following were the results in minutes of arc per second of time (or degrees per minute of time): - Each group contained auroras which appeared stationary.

00In 1882-1883 the direction of motion of arcs was from north to south in 62% of the cases at Jan Mayen, and in 58% of the cases at Cape Thorsden.

00The apparent motion of arcs is sometimes of a complicated character.

00Regular arcs were selected in most cases, but the lowest height obtained was for a collection of rays forming a curtain which was actually situated between the two stations.

00Heights of arcs have often been calculated from the apparent altitudes at stations widely apart in Europe or America.

00Such extremely bright auroras seem very rare, however, even in the Arctic. There is a general tendency for both bands and rays to appear brightest at their lowest parts; arcs seldom appear as bright at their summits as nearer the horizon.

00It is not unusual for arcs and bands to look as if pulses or waves of light were travelling along them; also the direction in which these pulses travel does not seem to be wholly arbitrary.

00The framework is attached to two independent circular arcs Cs and rr having their centres at 0 and provided with clamps D and A on the axis F of the instrument.

00The Philippines appear to be the remnants of a somewhat complex system of mountain arcs, which from their similarity of form and direction seem to be in some way connected with the mountain ranges of Annam.

00North of the Lycaonian plateau lies another zone of folding which may be divided into the East Pontian and West Pontian arcs.

00I by great-circle arcs.

00Hence, resolving along the tangents to the arcs BC, CA, respectively, we have ~ (3)

00If weights be suspended from various points of a hang ing chain, the intervening por tions will form arcs of equal ~ catenaries, since the horizontal tension (wa) is the same for all.

00A condition equivalent to the above, and necessarily connected with it, is, that at each pair of points of contact the inclinations of the curves to their radii-vectores shall be equal and contrary; or, denoting by r1, rf the radii-vectores at any given pair of points of contact, and s the length of the equal arcs measured from a certain fixed pair of points of contact dri/ds= drm/ds; (18)

00In order that there may always be at least two pairs of teeth in action, each of those arcs should be equal to the pitch.

00It appears from experience that the mean obliquity should not exceed 15; therefore the maximum obliquity should be about 30; therefore the equal arcs DI and ID should each be one-sixth of a circumference; therefore the circumference of the describing circle should be six limes the pitch.

00To find the figures of the teeth, draw on a flat surface circular arcs ID1, ID,, with the radii A11, A, I; those arcs will be the developments of arcs of the pitchcircles Bil, B, I, when the conical surfaces AiBf I, A,B~ I are spread out flat.

00Describe the figures of teeth for the developed arcs as for a pair of spur-wheels; then wrap the developed arcs on the cones, so as to make them coincide with the pitch-circles, and trace the teeth on the conical surfaces.

00The various improvements in electric illuminants, such as the Nernst oxide lamp, the tantalum and osmium incandescent lamps, and improved forms of arc lamp, enclosed, inverted and flame arcs, are described under Lighting: Electric. Between 1890 and 1900, electric traction advanced rapidly in the United States of America but more slowly in England.

00The two outer arcs of the chart are occupied by the scales for the weight of the goods in lb and oz., and the rest of the chart is occupied by a series of 25 concentric arcs which show the money values of the goods for 25 rates per lb.

00The rates per lb are inscribed on the index arm at points corre - sponding to the values on the concentric arcs of the chart, and the [[[Automatic]] values are indicated on the chart by the toothed edge of the index arm.

00On the customer's side of the machine the weight of the goods is indicated on a pair of arcs by a separate index arm precisely in the same manner as on the seller's side.

00Consider two circles partially drawn so that it does not appear whether the circles, if completed, would or would not intersect in real points, say two arcs of circles; then we can, by means of a third circle drawn so as to intersect in two real points each of the two arcs, determine a right line, which, if the complete circles intersect in two real points, passes through the points, and which is on this account regarded as a line passing through two (real or imaginary) points of intersection of the two circles.

00Gunter's Quadrant, an instrument made of wood, brass or other substance, containing a kind of stereographic projection of the sphere on the plane of the equinoctial, the eye being supposed to be placed in one of the poles, so that the tropic, ecliptic, and horizon form the arcs of circles, but the hour circles are other curves, drawn by means of several altitudes of the sun for some particular latitude every year.

00The result of these repetitions is that, during a number of revolutions, the special mutual actions of the two planets at these three points of their orbits repeat themselves, while the actions corresponding to the three intermediate arcs are wanting.

00in diameter; he substituted equatorial for zodiacal armillae, thus definitively establishing the system of measurements in right ascension and declination; and improved the graduation of circular arcs by adopting the method of " transversals."

00A much more important daughter of Zeus in Homer is Athene, the " greyeyed " or (as some take yXavtc arcs, rather improbably) the " owlheaded " goddess.

00Of practical importance are the following constructions: - (I) Given the axes; (2) given the major axis and the foci; (3) given the focus, eccentricity and directrix; (4) to construct an ellipse (approximately) by means of circular arcs.

00(4) If the axes be given, the curve can be approximately constructed by circular arcs in the following manner: - Let AA', BB' be the axes; determine D the intersection of lines through B and A parallel to the major and minor axes respectively.

00Then with centre 0 1 and radius OJ, =OA 1, describe an arc. By reflecting the two arcs thus described over the centre the ellipse is approximately described.

00Akad., 1899) have gone back to Tait's method at high temperatures, employing arcs of parabolas for limited ranges.

00Searchlights made effective patterns as they stabbed the reddened sky with their beams, which swept back and forth in wide arcs.

00The books being released now fit into arcs telling a section of an ongoing saga.

00The male snipe circles high above in a series of roller-coaster arcs, = each descent marked by a loud and distinctive sound.

00Arcs for the rev counter and fuel gage peek out from the sides of the large speedometer and are flanked by warning lights.

00Part of the flat surface of this had been widened to take punched decoration in the form of interlocking arcs in La Tene style.

00Each of the subjects should be standing slightly forward and facing the first group, so the row arcs a bit and forms a "C" shape.

00With most of the story arcs played out, it was eventually canceled.

00Snake the rail across your ceiling in wide arcs or subtle curves; the ultimate placement of the system is entirely up to you.

00Delirium: A swinging ring that accommodates 50 riders per ride, this massive pendulum arcs through 240 degrees as it rotates passengers along a delirious course.

00Most feature a team of two characters traversing various terrains, slicing or shooting up baddies and collecting Lego-type goodies as they follow the main plot arcs of the movies.

00Other less common causes of conjunctivitis include exposureto sun lamps or the electrical arcs used during welding and problems with inadequate drainage of the tear ducts.

00In the pilot, Lucy struggles with the fact she doesn't have a period. 7th Heaven did not rely on ethical tales alone, but also employed the use of story arcs.

00Start standing upright with your arms at your sides, then jump a little as you move your feet to a wide stance while raising your arms in wide arcs so they're stretched above your head.

00All of the episodes are planned before being filmed so that producers can identify necessary arcs that viewers can follow better.

00In Season Three, Barney's attempts to establish herself as a real estate agent and get her wayward oldest son on the right track were prominent story arcs.

00The final season of Enterprise was a mixture of long story arcs and self-contained episodes.

00The soap was relatively popular in its original form, but as the spookier story arcs gained in popularity, the writers went wild.

00Outside this are three arcs of large cells showing characters typical of the endodermis in a vascular plan.t; these are interrupted by strands ofnarrow, elongated, thick-walled cells, which send branches into the little brown scales borne by the rhizome.

01Sometimes 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.

01Sometimes the activity of the successive cambiums simply results in the formation of concentric rings or arcs of secondary xylem and phloem.

01The rough surface of the bark of many trees is due to the successive phellogens not arising in regular concentric zones, but forming in arcs which join with the earlier-formed arcs, and thus causing the bark to come off in flakes or thick chunks.

01From its intersection with A'A' arcs are struck cutting B in two points.

01This last determination was effected through four arcs as follows: I.

01North of this lies a broad belt in which the Mesozoic deposits and even the lower divisions of the Tertiary system are thrown into folds which extend in a series of arcs from west to east and now form the principal mountain ranges of central Asia.

01There are considerable tracts which are but little disturbed, but these tracts are enclosed within the arcs formed by the folds, and the zone taken as a whole is distinctly one of crumpling.

01He also gave approximate rectifications of circular arcs after the manner of Huygens; and, what is very notable, he made an ingenious and, according to J.

01Combining the results from arcs and bands, Carlheim-Gyllenskäld gives the " anomaly " of the auroral meridian at Jan Mayen as 5.7° E.

01But clearly, whilst the arcs and bands, and to a lesser extent the patches, showed a marked preference for the magnetic meridian, the rays showed no such preference.

01The rough surface of the bark of many trees is due to the successive phellogens not arising in regular concentric zones, but forming in arcs which join with the earlier-formed arcs, and thus causing the bark to come off in flakes or thick chunks.

01

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.