The Books of Kings are a compilation made at about the beginning of the Exile, and one object of the compiler was to give a consecutive and complete chronology of the period embraced in his work.
The volume comprised between the cross-section whose area is S and a consecutive cross-section at distance 0 from it is ultimately SO, when B is indefinitely small; and the area between the corresponding ordinates of the trapezette is (S/1).
Other officers are the clerk of the county court, elected for six years, the sheriff, who also acts as tax-collector and treasurer, the prosecuting attorney, one or two assessors, the surveyor of lands and the superintendent of free schools, all elected for the term of four years; the sheriff may not serve two consecutive full terms. In addition there are boards appointed or elected by various authorities and charged with specific duties.
In pure algebra Descartes expounded and illustrated the general methods of solving equations up to those of the fourth degree (and believed that his method could go beyond), stated the law which connects the positive and negative roots of an equation with the changes of sign in the consecutive terms, and introduced the method of indeterminate coefficients for the solution of equations.'
The special form of curb sender mentioned, termed the " Interpolator," has been devised so as to secure the correct re-transmission of any given number of consecutive elements of a letter which are of the same sign, for when signals are received at the end of a long cable the relay arm will not return to its zero position between consecutive elements of the same sign, but will remain on the respective contact surface during the whole time occupied by such consecutive elements.
The instrument consists of two cams, the form of which regulates the components of the curbed signal, one cam being for the dot element and the other for the dash element, which by their sequence give the letter signals; these cams, by means of clutches controlled by the relay, are mechanically rotated by clockwork, the speed of rotation being approximately adjusted to the rate of transmission of a single element, so that the requisite number of consecutive elements is transmitted corresponding to the duration of contact of the relay arm with the side controlling that particular element.
34 shows the effect of the interpolator in dissecting the consecutive elements of any letter combination.
The Phoenicians are the earliest Mediterranean people in the consecutive chain of geographical discovery which joins prehistoric time with the present.
By the aid of one front leg it places consecutive heaps of loosened particles upon its head, then with a smart jerk throws each little pile clear of the scene of operations.
BE.) History The history of Russia may be conveniently divided into four consecutive periods: (I) the period of Independent Principalities; (2) the Mongol Domination; (3) the Tsardom of Muscovy; and (4) the Modern Empire.
- lxvi.; Malachi), but a consecutive sketch is impossible.4 1 Thus a decree of Darius I.
This much has been proved certain of the adventures recounted in the Lanzelet; the theft of an infant by a water-fairy; the appearance of the hero three consecutive days, in three different disguises, at a tournament; the rescue of a queen, or princess, from an Other-World prison, all belong to one wellknown and widely-spread folk-tale, variants of which are found in almost every land, and of which numerous examples have been collected alike by M.
This is of constant occurrence in classical pianoforte music, in which thick chords are subjected to polyphonic laws only in their top and bottom notes, while the inner notes make a solid mass of sound in which numerous consecutive fifths and octaves are not only harmless but essential to the balance of tone.
The introduction of additional diacritical marks, such as - and used to express quantity, and the diaeresis, as in ai, to express consecutive vowels, which are to be pronounced separately, may prove of service, as also such letters as a, o and ii, to be pronounced as in German, and in lieu of the French ai, eu or u.
It is possible that these primitive efforts of American Indians might have been further developed, but the Spanish conquest put a stop to all progress, and for a consecutive history of the map and map-making we must turn to the Old World, and trace this history from Egypt and Babylon, through Greece, to our own age.
Within the rectangle formed by pairs of consecutive dark lines, and not far from its centre, the brightness rises to a maximum; but these subsequent maxima are in all cases much inferior to the brightness at the centre of the entire pattern (=o, n =o).
The secondary pulses diverted by the ruling fall upon an object-glass as usual, and on arrival at the focus constitute a procession equally spaced in time, the interval between consecutive members depending upon the obliquity.
This will be evident if we consider that, since radii vectores of the hodograph represent velocities in the orbit, the elementary arc between two consecutive radii vectores of the hodograph represents the velocity which must be compounded with the velocity of the moving point at the beginning of any short interval of time to get the velocity at the end of that interval, that is to say, represents the change of velocity for that interval.
On the other hand, they are constantly impressed by his power of reasoning both deductively and inductively, by the subtlety and fertility of invention with which he applies analogies, by the clearness and keenness of his observation, by the fulness of matter with which his mind is stored, and by the consecutive force, the precision and distinctness of his style, when employed in the processes of scientific exposition.
The Port Authority fixes the port rates, which, however, must not in any two consecutive years exceed one-thousandth part of the value of all imports and exports, or a three-thousandth of the value of goods discharged from or taken on board vessels not within the premises of a dock.
And another reason for their calculations resulting in so high a figure is suggested by the recent discoveries: they may in all good faith have reckoned as consecutive a number of early dynasties which were as a matter of fact contemporaneous.
Passing the canes through three consecutive sets of rollers, in order to extract everything possible of extraction by pressure) is employed.
A more efficient arrangement consists of a stack of vertical pipes standing up from a main or collecting trough and connected at the top in consecutive pairs by a cross tube.
A faction among the managers of the Republican party attempted to secure his nomination for a third term as president, and in the convention at Chicago in June 1880 he received a vote exceeding 300 during 36 consecutive ballots.
Such a thought can hardly be Micah's, even if we resort to the violent harmonistic process of imagining that two quite distinct sieges, separated by a renewal of the theocracy, are spoken of in consecutive verses.
Amendments to the constitution must be passed by both houses of the General Assembly at two consecutive sessions, and must then be ratified by three-fifths of the electors of the state present and voting thereon in town and ward meetings.
They form a consecutive series from rude unhewn stones to highly finished obelisks, of which the tallest still erect is 60 ft.
The Ethiopians do not reckon the years from the beginning of the era in a consecutive series, but employ a period of 532 years, after the expiration of which they again begin with 1.
Like the previous constitutions of 1776, 1792 and 1831, it was promulgated by a constitutional convention without submission to the people for ratification, and amendments may be adopted by a two-thirds vote of each house in two consecutive legislatures.
This forms a consecutive legendary history of Charles, and is apparently based on earlier versions of the French Charlemagne poems than those which we possess.
However, there are laws requiring that each school be taught at least six months in a year, and that children between the ages of seven and fourteen attend for at least twelve consecutive weeks, and for a total of sixteen weeks in every year.