noun

definition

That part of a circle which a heavenly body appears to pass through as it moves above and below the horizon.

definition

A continuous part of the circumference of a circle (circular arc) or of another curve.

definition

A curve, in general.

definition

A band contained within parallel curves, or something of that shape.

definition

(electrics) A flow of current across an insulating medium; especially a hot, luminous discharge between either two electrodes or as lightning.

definition

A story arc.

definition

A continuous mapping from a real interval (typically [0, 1]) into a space.

definition

A directed edge.

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The three-point line.

definition

An arclight.

verb

definition

To move following a curved path.

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To shape into an arc; to hold in the form of an arc.

definition

To form an electrical arc.

Examples of arcs in a Sentence

The existing volcanoes belong to four separate arcs or chains.

If 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.

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

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.

In 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.

But 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.

While 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.

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.

Repeating 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.

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

Let 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.

They 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.

Here 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.

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

Carbon 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.

I „ 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).

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

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

Eruptive 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.

A 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.

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

Luminous 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.

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

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

He 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.

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

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

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

Several arcs may be visible at the same time.

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

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

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

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

The 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.

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

Of 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.

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

In 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.

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

Regular 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.

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

Such 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.

It 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.

The 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.

The 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.

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

A 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)

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

It 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.

Describe 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.

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