Approximately sentence example

approximately
  • It was a small white bone approximately one inch long.
    374
    125
  • According to these estimates the total Jewish population of the world in the year named was approximately 11,500,000.
    6
    1
  • Assuming that the lower strata were formed at approximately the same rate as the upper, we have an antiquity of from 12,000 to 14,000 years indicated for the first Neolithic settlement on this spot.
    4
    0
  • British India comprises approximately the area between the 95th and 10th meridians, and between the Tibetan table-land and the Indian Ocean.
    4
    0
  • In 1897 they numbered approximately 240,000.
    4
    0
    Advertisement
  • Some of the material may have existed in aphoristic form before, but the composition of the present book may be put approximately in the century 300-200 B.C. Even its simplest maxims have a certain academic form.
    4
    0
  • The respective shares of the leading customs in the tfade of the country is approximately shown in the following table, which gives the value of their exports and imports (general trade) in 1905 in millions sterling.
    16
    13
  • The catastrophe was the greatest of its kind that has ever occurred in any country; the number of persons killed was approximately 150,000, while the injured were beyond calculation.
    6
    3
  • The palace itself approximately formed a square with a large paved court in the centre.
    4
    1
  • The forests cover approximately 37,700 sq.
    5
    2
    Advertisement
  • The history of Assyria can now be traced back approximately to 2500 B.C., though it does not rise to political prominence until c. 2000 B.C. The name of the god is identical with that of the city, though an older form A-shir, signifying "leader," suggests that a differentiation between the god and the city was at one time attempted.
    3
    0
  • From the later part of the 18th century a stronger tendency to increase set in, and at the taking of the first census, in 1801, it was ascertained that the population numbered 8,892,536, being-if the former estimates were approximately correct-an increase of very nearly 2.1 millions in little over fifty years.
    3
    0
  • At barometric pressures such as exist between 18 and 36 kilometres above the ground the mobility of the ions varies inversely as the pressure, whilst the coefficient of recombination a varies approximately as the pressure.
    2
    0
  • One of the longest circuits upon which it has been successfully worked is that between St Petersburg and Omsk, a distance of approximately 2400 miles of iron wire, with three repeating stations.
    8
    6
  • There are separate schools for whites and blacks, and the equipment and service are approximately equal, although the whites pay about nine-tenths of the school taxes.
    3
    1
    Advertisement
  • Modern science, however, has indicated a line of physical separation along the channel between Borneo and Celebes, called the Straits of Macassar, which follows approximately 120° E., to the west dl which the flora.
    3
    1
  • A city occupying approximately the same site had been the capital of one of the principalities into which China was divided some centuries before the Christian era; and during the reigns of the two Tatar dynasties that immediately preceded the Mongols in northern China, viz.
    15
    14
  • As with other duplex systems it is possible to obtain several approximately correct adjustments with the bridge and its accessories, but only one gives a true balance, and careful experiment is required to make sure that this is obtained.
    4
    3
  • Pupin showed that by placing inductance coils in circuit, at distances apart of less than half the length of the shortest component wave to be transmitted, a non-uniform conductor could be made approximately equal to a uniform conductor.
    5
    4
  • Many circuits have been " loaded " in the manner proposed by Pupin during recent years, especially in underground cables, and it has been found in practice that the transmission value of these when loaded is approximately from three to four times their value unloaded.
    5
    4
    Advertisement
  • The distribution of fossils frequently makes it possible to map out approximately the general features of land and sea in long-past geological periods, and so to enable the history of crustal relief to be traced.'
    20
    19
  • Owing to the increased friction produced by a rotator making approximately 900 revolutions per mile, towed at the end of a line varying from 40 fathoms for a 12 -knot FIG.
    2
    1
  • In Canada the Canadian Pacific was the only transcontinental line, extending from St John, on the bay of Fundy, and from Quebec, on the river St Lawrence, to Vancouver, on the strait of Georgia, the distance from St John to Vancouver being approximately 3379 m.
    8
    7
  • In most of the systems that have been proposed this result is attained by electrical regulation; in one, however, a mechanical method is adopted, the dynamo being so' hung that it allows the driving belt to slip when the speed of the axle exceeds a certain limit, the armature thus being rotated at an approximately constant speed.
    5
    4
  • Two tunnels were built approximately parallel, each taking a single track.
    2
    1
    Advertisement
  • The plateau "lowlands" in the centre of the Basin are approximately 5000 ft.
    2
    1
  • The Tonopah ores were richer in silver than in gold, the respective values in 1904 and 1905 being approximately in the proportion of three to one.
    2
    1
  • But, regarded broadly, the Highland mountains are monuments of erosion, the relic of an old tableland, the upper surface and former inclinations of which are shown approximately by the summits of the existing masses and the direction of the chief water-flows.
    1
    0
  • The isothermals of mean annual temperature lie over northern Asia on curves tolerably regular in their outline, having their western branches in a somewhat higher latitude than their eastern; a reduction of I° of latitude corresponds approximately - and irrespective of modifications due to elevation - to a rise of 2 ° Fahr., as far say as 30° N., where the mean temperature is about 75° Fahr.
    0
    0
  • Kepler's Problem, namely, that of finding the co-ordinates of a planet at a given time, which is equivalent - given the mean anomaly - to that of determining the true anomaly, was solved approximately by Kepler, and more completely by Wallis, Newton and others.
    0
    0
    Advertisement
  • Montenegro in 1911 was approximately the same territory as it is nowadays, but Serbia was smaller than current-day Serbia.
    0
    0
  • To that conflict New Haven contributed approximately $30,000,000, and 3000 men, 500 of whom were killed.
    0
    0
  • The total amount of water given is approximately equivalent to a rainfall of about 35 in.
    0
    0
  • Possessing soil, climate and apparently all the requisite elements from nature for the production of cotton to an almost boundless extent, and of a 1 Approximately.
    0
    0
  • Approximately the supplies were as follows in million lb: British West Indies.
    0
    0
    Advertisement
  • The folds are approximately parallel to those of the Taurus, and geologically these mountains may be said to belong to that range.'
    0
    0
  • The central region is remarkable for its large number of lakes, approximately 30,000 between Gainesville in Alachua county, and Lake Okeechobee.
    0
    0
  • By the forms of the letters of the inscriptions, and by the architectural details, the age of the monument has been approximately fixed in the 3rd century B.C. The bas-reliefs give us invaluable evidence of the literature, and also of the clothing, buildings and other details of the social conditions of the peoples of Buddhist India at that period.
    0
    0
  • In all the cases which have yet arisen in astronomy the extraneous forces are so small compared with the gravitation of the central body that the orbit is approximately an ellipse, and the preliminary computations, as well as all determinations in which a high degree of precision is not necessary, are made on the hypothesis of elliptic orbits.
    0
    0
  • Another curious theorem proposed by Bouilland in 1625 as a substitute for Kepler's second law is that the angular motion of the body as measured around the empty focus F' is (approximately) uniform.
    0
    0
    Advertisement
  • The total height of this Sakiya tope will therefore have been approximately a little under 50 ft.
    0
    0
  • The north slope of the Areopagus, where a number of early tombs were found, was also explored, and the limits of the Agora on the south and north-west were approximately ascertained.
    0
    0
  • In 1880 the capital invested in manufacturing industries was approximately $2,468,000; in 1890 it was $9,508,962; in 1900 it had increased to $16,045,156; and in 1905, when only establishments under the "factory system" were counted in the census, to $21,631,162.
    0
    0
  • Here he met with greater difficulty, and it is to be questioned whether he obtained any of these metals even in an approximately pure form (see Electrometallurgy).
    0
    0
  • We see however the similarity of the metal-working of both countries at approximately the same time; both are in the same style of artistic development, the Egyptian perhaps the more advanced of the two, and (if the published analysis by Mosso is to be relied upon) with the additional technique of the alloy with tin, making the metal bronze, and so easier for the heads to be cast.
    0
    0
    Advertisement
  • Hence the scale is r: r,000,000 approximately.
    0
    0
  • The forces engaged on this day were approximately 14,000 British to about 20,000 French, and the losses were: - British, 1468 killed, wounded and missing, including Abercromby (who died on the 28th), Moore and three other generals wounded; French, 1160 killed and (?) 3000 wounded.
    0
    0
  • The skull is high, with -the facial and cranial portions approximately equal.
    0
    0
  • The post-glenoid process is small, and the facial and cranial portions of the skull are approximately of equal length.
    0
    0
  • Nitrogen forms approximately 79% by volume (or 77% by weight) of the atmosphere; actual values are:% by volume-79.07 (Regnault), 79.20 (Dumas);% by weight76.87 (Regnault), 77.00 (Dumas), 77.002 (Lewy), 76.900 (Stas), 77.010 (Marignac).
    0
    0
    Advertisement
  • The gross receipts from this export trade amounted in the year1908-1909to £T99,564, and the profits approximately to £T12,000, in spite of the contest between Liverpool and Spanish salt merchants on the Calcutta market, which led to a heavy cutting of prices.
    0
    0
  • The amounts of Turkish gold, silver and debased coinage in circulation are approximately £T16,500,000, in gold, £T8,70o,000 (940,000,000 piastres at 108) in silver mejidies and fractions, and 200,000,000 piastres in beshlik and metallik.
    0
    0
  • The population of Bagdad is estimated variously from 70,000 to 20o,000; perhaps halfway between may represent approximately the reality.
    0
    0
  • The extreme length of Greenland may therefore be set down at about 1650 m., while its extreme breadth, which occurs about 77° 30' N., is approximately Boo m.
    0
    0
  • Its area is estimated at approximately 6 5,000 sq.
    0
    0
  • As early as the 12th century B.C., Chinese chronicles, which are almost the only source for the history of Cambodia till the 5th century A.D., mention a region called Fou-nan, in later times appearing under the name of Tchin-la; embracing the basin of the Menam, it extended eastwards to the Mekong and may be considered approximately coextensive with the Khmer kingdom.
    0
    0
  • Palafox (20,000) was near Saragossa and observing Sanguessa; Castanos with the victors of Baylen" In this account of the war the losses and numbers engaged in different battles are given approximately only; and the former include killed, wounded and missing.
    0
    0
  • The mean values of the relative coagulative powers of sulphates of mono-, di-, and tri-valent metals have been shown experimentally to be approximately in the ratios 1 :35:1023.
    0
    0
  • The temperature coefficient of conductivity has approximately the same value for most aqueous salt solutions.
    0
    0
  • An exactly similar process occurs when any strongly dissociated acid acts on any strongly dissociated base, so that in all such cases the heat evolution should be approximately the same.
    0
    0
  • The fact that the Gibbs-Helmholtz equation is found to apply also indicates that the lead accumulator is approximately reversible in the thermodynamic sense of the term.
    0
    0
  • On the other hand gravel-washing gives a declining yield in West Siberia, for while in 1900 the output from this source was approximately 172,000 oz., in 1904 it was only 81,000 oz.
    0
    0
  • As nearly as can be estimated, the total imports into Siberia amount approximately to £5,000,000, the amount having practically doubled between 1890 and 1902; the total exports average about £9,000,000.
    0
    0
  • Thus the level of the lead is kept approximately constant, and the silver becomes concentrated in the lead.
    0
    0
  • Upon one of these is based the principle of the mariner's compass, which is said to have been known to the Chinese as early as I ioo B.C., though it was not introduced into Europe until more than 2000 years later; a magnet supported so that its axis is free to turn in a horizontal plane will come to rest with its poles pointing approximately north and south.
    0
    0
  • The compass needle is a little steel magnet balanced upon a pivot; one end of the needle, which always bears a distinguishing mark, points approximately, but not in general exactly, to the north,' the vertical plane through the direction of the needle being termed the magnetic meridian.
    0
    0
  • A south pole would be urged oppositely to the conventional " direction " of the line; hence it follows that a very small magnetic needle, if placed in the field, would tend to set itself along or tangentially to the line of force passing through its centre, as may be approximately verified if the compass be placed among the filings on the cardboard.
    0
    0
  • The process of magnetization consists in turning round the molecules by the application of magnetic force, so that their north poles may all point more or less approximately in the direction of the force; thus the body as a whole becomes a magnet which is merely the resultant of an immense number of molecular magnets.
    0
    0
  • This statement, however, is only approximately correct, the distance between the poles depending upon the intensity of the magnetization.
    0
    0
  • Equations (33) and (34) show that when, as is generally the case with ferromagnetic substances, the value of is considerable, the resultant magnetic force is only a small fraction of the external force, while the numerical value of the induction is approximately three times that of the external force, and nearly independent of the permeability.
    0
    0
  • If P is the weight of the magnet, l the length of each of the two threads, 2a the distance between their upper points of attachment, and 2b that between the lower points, then, approximately, MH = P(ab/l) sin 0.
    0
    0
  • The suspended needle is, in the absence of disturbing causes, directed solely by the horizontal component of the earth's field of magnetic force H E, and therefore sets itself approximately north and south.
    0
    0
  • If the distance of the mirror from the scale is equal to n scale divisions, and if a deflection 0 of the needle causes, the reflected spot of light to move over s scale divisions, we shall have s/n = tan 20 exactly, s/2n = tan 0 approximately.
    0
    0
  • The specimen upon which an experiment is to be made generally consists of a wire having a " dimensional ratio " of at least 300 or goo; its length should be rather less than that of the magnetizing coil, in order that the field Ho, to which it is subjected, may be approximately uniform from end to end.
    0
    0
  • Hopkinson pointed out that the greatest dissipation of energy which can be caused by a to-and-fro reversal is approximately represented by Coercive force X maximum induction fir.
    0
    0
  • Denoting by W the work in ergs done upon a cubic centimetre of the metal (=_fHdB or f HdI), he finds W =nips approximately, where n 47r is a number, called the hysteretic constant, depending upon the metal, and B is the maximum induction.
    0
    0
  • It has been shown by Kennelly (Electrician, 1892, 28, 666) that Steinmetz's formula gives approximately correct results in the case Of nickel.
    0
    0
  • The weight W is moved along the scale until the yoke just tilts over upon the stop S; the distance of W from its zero position is then, as can easily be shown, proportional to F, and therefore to B 2, and approximately to I 2.
    0
    0
  • The latter gives values of the constants a and b for different samples of iron and steel, some of which are shown in the following table :- K=a+bH For most samples of steel the straight-line law was found to hold approximately up to H=3; in the case of iron and of soft steel the approximation was less close.
    0
    0
  • While therefore the initial susceptibility of nickel is less than that of iron and steel, the range of magnetic force within which it is approximately constant is about one hundred times greater.
    0
    0
  • So far, the best results have been attained with aluminium, and the permeability was greatest when the percentages of manganese and aluminium were approximately proportional to the atomic weights of the two metals.
    0
    0
  • The hysteretic exponent is therefore much higher than in the case of iron, nickel and cobalt, for which its value is approximately I.6.
    0
    0
  • The effect appeared to be closely connected with the intensity of magnetization, being approximately proportional to I.
    0
    0
  • Fleming and Dewar give for the susceptibility the values-13.7 X 6 at 15° C. and - 15.9X 10 -6 at - 182°, the latter being approximately equivalent to KX Io 6 = - 1.62.
    0
    0
  • The property of orientation, in virtue of which a freely suspended magnet points approximately to the geographical north and south, is not referred to by any European writer before the 12th century, though it is said to have been known to the Chinese at a much earlier period.
    0
    0
  • Its area is approximately 25,096 sq.
    0
    0
  • In the province of Sergipe, on the east coast, the beds are approximately on the horizon of the Cenomanian; in the valley of the Amazon they belong to the highest parts of the Cretaceous system, and the fauna shows Tertiary affinities.
    0
    0
  • The year is usually divided into a winter (inverno) and summer (verao), corresponding approximately to a dry and wet season.
    0
    0
  • But there is no record that the inland districts of western and north-western Brazil were treated in this manner, and their present population may be assumed to represent approximately what it was when the Europeans first came.
    0
    0
  • We know that log l oN(I+9) = log l oN+log 10 (I+0), and inspection of a table of logarithms shows that, when 0 is small, log 10 (I+B);s approximately equal to X0, where X is a certain constant, whose value is.
    0
    0
  • � � If we took logarithms to base a, we should have loga(I+B) =logoIOXXO, approximately.
    0
    0
  • It is astonishing how many good observers it requires to dissect and draw and record over and over again the structure of an animal before an approximately correct account of it is obtained.
    0
    0
  • The sum of such a series is very approximately zero, each term being neutralized by the halves of its immediate neighbours, which are of the opposite sign.
    0
    0
  • Its greatest length is about 100 m., its greatest width 22 m., its area being approximately 1640 sq.
    0
    0
  • By tracing such indications up the stream or up the hillside the outcrop may sometimes be found, or at least approximately located.
    0
    0
  • When the location of the deposit has been determined approximately, further search is made by trenches or pits or borings through the surface soil.
    0
    0
  • With a number of holes the average thickness and probable extent of the deposit may be determined, at least approximately.
    0
    0
  • A large number of holes must be bored to obtain, even approximately, the average thickness and value of the ore and the shape and size of the ore bodies.
    0
    0
  • Grades are made, whenever possible, in favour of the load, and of such degree that the power required to haul out the loaded cars shall be approximately equal to that for hauling back the empties, viz.
    0
    0
  • On the 27th a general move forward took place, the Turks (9th Div.) offering little opposition, and by nightfall the Allies held a line stretching approximately from the north end of Morto Bay to " Gully " beach.
    0
    0
  • Lumps of glass of approximately the right weight are chosen, and are heated to a temperature just sufficient to soften the glass, when the lumps are caused to assume the shape of moulds made of iron or fireclay either by the natural flow of the softened glass under gravity, or by pressure from suitable tools or presses.
    0
    0
  • For the purpose of rendering this minute examination possible, opposite plane surfaces of the glass are ground approximately flat and polished, the faces to be polished being so chosen as to allow of a view through the greatest possible thickness of glass; thus in slabs the narrow edges are polished.
    0
    0
  • When this is the case the gathering is carried to a block or half-open mould in which it is rolled and blown until it acquires, roughly, the shape of a hemisphere, the flat side being towards the pipe and the convexity away from it; the diameter of this hemisphere is so regulated as to be approximately that of the cylinder which is next to be formed of the viscous mass.
    0
    0
  • The earliest monuments that can be approximately dated come from Lagash (Tello).
    0
    0
  • Evaporation of the Juice to Syrup. - The third operation is the concentration of the approximately pure, but thin and watery, juice to syrup point, by driving off a portion of the water in vapour through some system of heating and evaporation.
    0
    0
  • Eight years later, on the 1st of August 1896, the bounties offered by the governments of Germany and Austria-Hungary were approximately doubled, and France had a bill in preparation to increase hers correspondingly, although it was computed that they were even then equivalent to a grant of 3, 5s.
    0
    0
  • The estimated value of the world's annual crop is approximately £40,000,000.
    0
    0
  • The present population of Tunisia numbers approximately l i, 000,000, and consists of: Berbers, more or less of pure race, say.
    0
    0
  • They annually visited the coasts of India or Ceylon, and often married Indian wives, thus acquiring distinct racial characters of an approximately Dravidian type.
    0
    0
  • South and west of the Fossa Magna the beds are thrown into folds which run approximately parallel to the general direction of the coast, and two zones may be recognizedan outer, consisting of Palaeozoic and Mesozoic beds, and an inner, consisting of Archaean and Palaeozoic rocks, with granitic intrusions.
    0
    0
  • Males exceed females in the ratio of 2% approximately.
    0
    0
  • The ratio of marriages is approximately 8.46 per thousand units of the population, and the ratio of divorces is 1.36 per thousand.
    0
    0
  • Shadows and reflections were ignored, and perspective, approximately correct for landscape distances, was isometrical for near objects, while the introduction of a symbolic sun or moon lent the sole distinction between a day and a night scene.
    0
    0
  • Takemoto and KatO of Tokyo entered the field subsequently to ShOzan, but followed the same models approximately.
    0
    0
  • The lac, when taken from an incision ~ in the trunk of the Rhus vernicifera (urushi-no-ki), contains approximately 70% of lac acid, 4% of gum arabic, 2% of albumen, and 24% of water.
    0
    0
  • The gross earnings of all the lines during the fiscal year I 9051906 were 7 millions sterling, approximately, and the gross expenses (including the payment of interest on loans and debentures) were under 31/8 millions, so that there remained a net profit of 31/8 millions, being at the rate of a little over 81/8% on the invested capital.
    0
    0
  • Its area coincides also approximately with that of the previous Achaean conquests; and if the Dorians were as backward culturally as traditions and archaeology suggest, it is not improbable that they soon adopted the language of the conquered, as the Norman conquerors did in England.
    0
    0
  • The unit of mechanical force in the " centimetre, gramme, second " (C.G.S.) system of units is the dyne, which is approximately equal to 1/981 part of the weight of one gramme.
    0
    0
  • The isothermals are approximately equilateral hyperbolas (pv= constant), with the axes of p and v for asymptotes, for a gas or unsaturated vapour, but coincide with the isopiestics for a saturated vapour in presence of its liquid.
    0
    0
  • Joule (1845) was the first to prove it approximately by direct experiment, but did not see his way to reconcile Carnot's principle, as stated by Clapeyron, with the mechanical theory.
    0
    0
  • If we also assume that they are constant with respect to temperature (which does not necessarily follow from the characteristic equation, but is generally assumed, and appears from Regnault's experiments to be approximately the case for simple gases), the expressions for the change of energy or total heat from 00 to 0 may be written E - Eo = s(0 - 0 0), F - Fo = S(0-00).
    0
    0
  • They are continually changing partners, the ratio c/V representing approximately the ratio of the time during which any one molecule is paired to the time during which it is free.
    0
    0
  • As an example of one of the few cases where a complete solution is possible, we may take the comparatively simple case equation (17), already considered, which is approximately true for the majority of vapours at moderate pressures.
    0
    0
  • The values of the corresponding functions for the liquid or solid cannot be accurately expressed, as the theoretical variation of the specific heat is unknown, but if we take the specific heat at constant pressure s to be approximately constant, and observe the small residual variation dh of the total heat, we may write F'=s'D+dh+B'.
    0
    0
  • He was born at Novum Comum, the modern Como, the date of his birth being approximately determined by the fact that he was in his 18th year at the death of his uncle in August A.D.
    0
    0
  • Its electrical conductivity is approximately 1.2, silver at 0° being taken as 100; it is the most diamagnetic substance known, and its thermoelectric properties render it especially valuable for the construction of thermopiles.
    0
    0
  • The principal industry was the manufacture of iron and steel products, which, including steel and rolling mills, car, foundry and machine shops, and shipyards, represented more than 30% of the total capital, and approximately 25% of the total gross product of the manufactures in the state.
    0
    0
  • Dawes found the best method for the purpose in question was to limit the aperture of the object-glass by a diaphragm having a double circular aperture, placing the line joining the centres of the circles approximately in the position angle under measurement.
    0
    0
  • In the same way a mean angle of slope of approximately half a degree was found for the Adriatic and the Black Sea.
    0
    0
  • Of his fortune (estimated at $5,000,000) approximately $4,000,000 was bequeathed for the establishment and maintenance of "a free public library and reading-room in the City of New York"; but, as the will was successfully contested by relatives, only about $2,000,000 of the bequest was applied to its original purpose; in 1895 the Tilden Trust was combined with the Astor and Lenox libraries to form the New York Public Library.
    0
    0
  • For its complete combustion a volume of acetylene needs approximately twelve volumes of air, forming as products of combustion carbon dioxide and water vapour.
    0
    0
  • Sparse scrub timber, of little value except for posts, poles and rough beams and for fuel, occupies the region westward to approximately the longitude of the Pease river.
    0
    0
  • The unusual provision that two-thirds of each house shall constitute a quorum would probably prove inconvenient, if the political parties were approximately equal in strength.
    0
    0
  • They were to be, in general terms, the Sabine river, the 94th meridian (approximately), the Red river, the tooth meridian, the Arkansas river, and the 42nd parallel.
    0
    0
  • - The laws which have just been stated are obeyed very approximately, but not with perfect accuracy, by all gases of which the density is not too great or the temperature too low.
    0
    0
  • The value of the trade during1901-1902was approximately £400,000 in imports (largely railway material) and £50,000 in exports.
    0
    0
  • So large an area of New Guinea remains unexplored that it is impossible, except approximately, to state the number of its inhabitants, but probably 600,000 is under rather than over the mark.
    0
    0
  • 3 Pneumonia and consumption, approximately of equal fatality (15 to 18 per 10,000 each), exceed more than twofold the diseases of next lower fatality, cancer and cholera infantum.
    0
    0
  • Seubert (Ber., 1888, 21, p. 1839) from the analysis of potassium and ammonium osmichlorides, the values obtained being approximately 191.
    0
    0
  • The law has allowed the Federal census office in its discretion to compile and publish the birth statistics of divisions in which they are accurately kept; one Federal report on the statistics of marriages and divorces throughout the country from 1867 to 1886 inclusive was published in 1889, and a second for the succeeding twenty-year period was published in part in 1908; an annual volume gives the statistics of deaths for about half the population of the country, including all the states and cities which have approximately complete records of deaths; Federal agencies like the bureau of labour and the bureau of corporations have been created for the purpose of gathering certain social and industrial statistics, and the bureau of the census has been made a permanent statistical office.
    0
    0
  • Such a formula is approximative, in that it is known that the result of its application will only be approximately correct; it differs from an approximative formula of the kind mentioned in (i) (b) above, in that it is adopted of necessity, not by choice.
    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
  • 5, the volume of the element between these planes, when h is very small, is approximately h X AB X arc PQ = h.
    0
    0
  • The corresponding element of the revolving figure is approximately a rectangle of area h.
    0
    0
  • Similarly a surface of revolution can be divided by planes at right angles to the axis into elements, each of which is approximately a section of the surface of a right circular cone.
    0
    0
  • This limits the accuracy of the result; and we can therefore replace the figure by another figure which coincides with it approximately, provided that the further inaccuracy so introduced is comparable with the original inaccuracies of measurement.
    0
    0
  • If, as is usually the case, the ordinate throughout each strip of the trapezette can be expressed approximately as an algebraical function of the abscissa, the application of the integral calculus gives the area of the figure.
    0
    0
  • The first, which is the best known but is of limited application, consists in replacing each successive portion of the figure by another figure whose ordinate is an algebraical function of x or of x and y, and expressing the area or volume of this latter figure (exactly or approximately) in terms of the given ordinates.
    0
    0
  • The method is then modified by replacing B by an expression which gives the areas of the substituted figures approximately.
    0
    0
  • The position of the central ordinate is given by x = v 1 /po, and therefore is given approximately by pl/po.
    0
    0
  • To measure the volume of a cask, it may be assumed that the interior is approximately a portion of a spheroidal figure.
    0
    0
  • The light of Algol remains constant during close upon 56 hours; then declines in 62 hours (approximately) to nearly one-fourth its normal amount, and is restored by sensibly the same gradations.
    0
    0
  • Its area is approximately 120,000 sq.
    0
    0
  • Several traditional positions have indeed been approximately maintained or reconquered against the critics.
    0
    0
  • At J the displacement is forward, but since the curve at Q is parallel to the axis the displacement is approximately the same for all the points close to J, and the air is neither extended nor compressed, but merely displaced bodily a distance represented by JQ.
    0
    0
  • If two such flames are placed one under the other they may be excited by different sources, and the ratio of the frequencies may be approximately determined by counting the number of teeth in each in the same space.
    0
    0
  • There is a biennial registration of voters, and every five years the electoral areas are to be redivided, with the object of giving to each constituency an approximately equal number of voters.
    0
    0
  • Launhardt found that, for stresses always of the same kind, F = (t-u)/(t-fmax.) approximately agreed with experiment.
    0
    0
  • But it is not difficult to find w e, approximately enough for practical purposes, very simply.
    0
    0
  • 72 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.
    0
    0
  • An electricity meter should therefore have approximately the same accuracy.
    0
    0
  • The constellations bearing the same names coincided approximately in position, when Hipparchus observed them at Rhodes, with the divisions they designate.
    0
    0
  • As early as 1624 vast fortunes had been acquired by trade: two members of the company who died in that year were stated to possess seven and eight tons of gold respectively, an amount approximately equivalent, in the aggregate, to £2,000,000.
    0
    0
  • And as the relative altitudes of crest and pass remain approximately the same as in the Western Kuen-lun, it is evident how greatly the general elevation of the twin border ridge decreases towards the east.
    0
    0
  • - An enumeration of the works published before 1890, and a map of itineraries, will be found in Wegener's Versuch einer Orographie des Kuen-lun (Marburg, 1891), but his map is only approximately correct.
    0
    0
  • Pierpont Morgan, and Mr Carnegie himself retired from business, he was bought out at a figure equivalent to a capital of approximately 100,000,000.
    0
    0
  • The size of the individual particles may be approximately one-five-hundredth of an inch.
    0
    0
  • The estimate of 50o,000 in all may be taken as approximately correct.
    0
    0
  • For the purpose of the manufacturer of this salt these are assorted into a raw material containing approximately, in Ioo parts, 55-65 of carnallite (representing 16 parts of potassium chloride), 20-25 of common salt, 15-20 of kieserite; 2-4 of tachhydrite (CaC12 2MgC12 12H20), and minor components.
    0
    0
  • -During this period the dates are both more abundant, and also, approximately, far more nearly correct, than in any of the earlier periods; nevertheless in details there is still much uncertainty and difficulty.
    0
    0
  • Now, if either of these visits to Jerusalem could be identified with any of the visits whose dates have been approximately settled in the chronology of A.D.
    0
    0
  • On ignition the reaction, 8A1+3Fe 3 O 4 =9Fe+4Al 2 O 3, gives a temperature estimated to be between 2,300° and 2,700°C. The reaction, stated in weights, means that 217 parts of aluminium plus 732 parts magnetite (iron oxide) equals 540 parts steel plus 409 parts slag, or approximately 3 parts of aluminium plus 10 parts of magnetite will produce, on combustion, 7 parts of steel.
    0
    0
  • Then, in 1540, the name was restricted to an area approximately equal to that of modern Costa Rica.
    0
    0
  • In the school year1907-1908the school population was 734,617, the actual enrolment in public schools was 441,377, the average attendance was 260,843; there were approximately 3392 male and.
    0
    0
  • The boundary between the two realms was marked approximately by the valleys of the Meuse and Moselle and by the Jura.
    0
    0
  • Divided decimally in 100ths; but usually marked in Egypt into 7 palms of 28 digits, approximately; a mere juxtaposition.
    0
    0
  • The sum of the primitive characters approximately restores the primitive form; and the gaps in palaeontological evidence are supplied by analysis of the available zoological, embryological and anatomical evidence.
    0
    0
  • For the fiscal year1906-1907the revenue produced a total of 114,286,122 pesos (dollars), or, approximately, £11,428; 612, and the expenditure was 85,076,641 pesos, or £8,507,664.
    0
    0
  • Approximately its south border ran from a point slightly east of Tehuantepec to the bay of Honduras, and its north limit was that of the modern states of Michoacan and Guanajuato, then cutting across San Luis Potosi to a point just above Tampico.
    0
    0
  • Approximately to the same period as these early renderings of the Psalter belongs a version of the Apocalypse with a Commentary, the earliest MS. of which (Harleian 874) is written in the dialect of the North Midlands.
    0
    0
  • The Senate is composed of 24 members, one from each senatorial district, and these districts are formed so as to be approximately equal with respect to the amount of direct taxes paid in each; representation in this body is therefore apportioned on the basis of property.
    0
    0
  • The average yearly product is about 70,000,000 lb, worth approximately £1,300,000, and subject to an export duty of one gold dollar (4s.) per quintal (101 lb).
    0
    0
  • The altitudes along the upraised edge of the block, or range crest, are approximately 5000 ft.
    0
    0
  • The last is the roughest approximation and would indicate a native mass of 50,000,000 in 1900, or a foreign contribution of approximately half.
    0
    0
  • Mulhall (Industries and Wealth of Nations, edition of 1896, pp. 3435) that Great Britain then produced approximately one-third, the United States one-third, and all other countries collectively one-third of the minerals of the world in weight.
    0
    0
  • The parallel of 49° approximately separates the Saskatchewan waters from the streams going south to the Missouri, though a few sn1all tributaries of the latter river begin on Canadian territory.
    0
    0
  • The province of New Brunswick exhibits approximately parallel but subordinate ridges, with wide intervening areas of nearly flat Silurian and Carboniferous rocks.
    0
    0
  • The Observance Of This Rule Renders It Necessary To Reconcile Three Periods Which Have No Common Measure, Namely, The Week, The Lunar Month, And The Solar Year; And As This Can Only Be Done Approximately, And Within Certain Limits, The Determination Of Easter Is An Affair Of Considerable Nicety And Complication.
    0
    0
  • Approximately three-fourths of the total area of the state is woodland.
    0
    0
  • The largest and southernmost, a broad belt extending from the " fall-line " to a line passing through Clarkesville, Habersham county, Cartersville, Bartow county and Buchanan, Haralson county (approximately), is known as the Piedmont Belt or Plateau, being a region of faint relief eroded on highly complicated crystalline rocks.
    0
    0
  • The yellow pines of the southern part of the state, which have a stand of approximately 1 3,77 8, 000 ft., yielded in 1900 rosin and turpentine valued at $8,110,468 (more than the product of any other state in the Union) and in 1905 valued at $7,705,643 (second only to the product of Florida).
    0
    0
  • The reaction was followed for a short interval by a return to approximately the former party alignment, but in 1854 the rank and file of the Whigs joined the American or Know-Nothing party while most of the Whig leaders went over to the Democrats.
    0
    0
  • Although there was great political excitement, there was not as much extravagance in public administration as there was in other Southern States, the state debt increasing approximately from $6,600,000 to $16,000,000.
    0
    0
  • The dip of the horizon and its distance in sea-miles when the height of the observer's eye above the sea-level is h feet, are approximately given by the formulae: Dip=o' 97 -slh; Distance =1 m.
    0
    0
  • It is assumed further that the absorption is proportional to the incident radiation and (at any rate approximately) independent of the temperature, while the radiation is assumed to be a function of the temperature 6 Phil.
    0
    0
  • In the case of hydrogen rendered luminous in a vacuum tube we may put approximately u equal to 2000 metres per second, if the translatory motion of the luminous molecules is about the same as that at the ordinary temperature.
    0
    0
  • On the other hand the law, once shown to hold approximately, may be used to test the sufficiency of a particular form of equation.
    0
    0
  • The change of frequency (dn) for a series of lines which behave similarly is approximately proportional to the frequency (n) so that we can take the fraction do/n as a measure of the shift.
    0
    0
  • Duffield finds that the iron lines divide themselves into three groups with pressure shifts which are approximately in the ratio i: 2: 4.
    0
    0
  • Curiously enough this is also approximately the ratio of the displacements found by Humphreys in the trunk series, the side branch and main branch in the order named, in cases where these displacements have been measured.
    0
    0
  • The fact that the gases with which we are most familiar are not rendered luminous by being heated in a tube to a temperature well above a white heat has often been a stumbling block and raised the not unreasonable doubt whether approximately homogeneous oscillations could ever be obtained by a mere thermal process.
    0
    0
  • The caves are in three groups, the oldest group being of various dates from 200 B.C. to A.D.200, the second group belonging, approximately, to the 6th, and the third group to the 7th century A.D.
    0
    0
  • For the movements which led to the foundation of the more northern kingdoms we have no evidence worth consideration, nor do we know even approximately when they took place.
    0
    0
  • Most of them lie near the west coast or on the islands off this coast; and they are arranged in lines which run approximately from north to south, with, generally, a slight convexity towards the west.
    0
    0
  • It is approximately 1500 m.
    0
    0
  • On the other hand, the representatives of the contemporary genus Megalohyrax were approximately as large as Pliohyrax, and in some instances had double roots to the second and third incisors.
    0
    0
  • Galileo measured time for the purpose of his experiments by the flow of water through a small hole under approximately constant conditions, which was of course a very old method.
    0
    0
  • The following table gives, approximately, in thousands of yards the quantities exported of the four main divisions of cotton cloths: - In the case of cloth, too, the Board of Trade returns must not be taken as an absolute record of imports to the particular countries, as the ultimate recipient is not always determined.
    0
    0
  • Who the earliest inhabitants of Mesopotamia in approximately historical times were is not yet clear.
    0
    0
  • Nearly the whole of Silesia lies within the basin of the Oder, which flows through it from south-east to north-west, dividing the province into two approximately equal parts.
    0
    0
  • The ridges and intervening valleys, long parts of which have an approximately parallel trend from south-west to north-east, were formed by the erosion of folded sediments of varying hardness, the weak belts of rock being etched out to form valleys and the hard belts remaining as mountain ridges.
    0
    0
  • The value of the state's output increased from approximately $75,000 in 1882 to approximately $19,282,000 in 1888, and the total value of its output during these and the intervening years was more than 80% that of all the United States.
    0
    0
  • There are fifty senators, elected for four years, and approximately two hundred representatives, elected for two years.
    0
    0
  • The general structure of the trans-Himalayan chains appears to indicate that the main axis of upheaval of the whole vast mass of the Tibetan highlands is to be found on two approximately parallel lines, represented the one by the Kuen-lun and the other by a line which is more or less coincident with the watershed between India and the central lake region, extending from Lake Pangong to Tengri Nor, the plateau enclosed between the two being wrinkled by minor folds, of which the relative elevation is comparatively low, averaging from woo to 1500 ft.
    0
    0
  • For most experimental purposes the small terms involving the factor (- p') may be neglected, and we have, approximately, PoV'=Rt log (ply).
    0
    0
  • Approximately one degree lowering of freezing point corresponds with a change of 12 atmospheres in the osmotic pressure.
    0
    0
  • Graham showed that the diffusion was approximately proportional to the difference in concentration, and on these lines a theory of diffusion was founded on the lines of Fourier's treatment of the conduction of heat.
    0
    0
  • In this latter case the determinants for black are carried by separate gametes from those carrying grey, and the two kinds of sex-cells exist in approximately equal numbers.
    0
    0
  • The proportions in which the various coloured individuals appear are approximately those demanded by the Mendelian principle of gametic purity and segregation.
    0
    0
  • The average strength of 98% metal is approximately shown by the following table: - Weight for weight, therefore, aluminium is only exceeded in tensile strength by the best cast steel, and its own alloy, aluminium bronze.
    0
    0
  • The second part of the statement of Herodotus - the reality of the prediction by Thales - has been frequently called in question, chiefly on the ground that, in order to predict a solar eclipse with any chance of success, one should have the command of certain astronomical facts which were not known until the 3rd century, B.C., and then merely approximately, and only employed with that object in the following century by Hipparchus.
    0
    0
  • Similar conditions are repeated at many different points, so that the level at which large snow-beds show themselves along its flanks is approximately horizontal.
    0
    0
  • For instance, if steel has been coarsened by heating to 1400° C., and if, when it has cooled to a lower temperature, say 850° C. we forge it, its grain-size and ductility when cold will be approximately those which it would have had if heated only to 850°.
    0
    0
  • The slag, in order that it may have such an excess of base that this will retain the phosphoric acid as fast as it is formed by the oxidation of the phosphorus of the pig iron, and prevent it from being re-deoxidized and re-absorbed by the iron, should, according to von Ehrenwerth's rule which is generally followed, contain enough lime to form approximately a tetra-calcic silicate, 4CaO,S10 2 with the silica which results from the oxidation of the silicon of the pig iron and tri-calcic phosphate, 3CaO,P205, with the phosphoric acid which forms. The danger of this " rephosphorization " is greatest at the end of the blow, when the recarburizing additions are made.
    0
    0
  • Then the furnaceman, controlling the decarburization and purification of the molten charge by his examination of test ingots taken from time to time, gradually oxidizes and so removes the foreign elements, and thus brings the metal simultaneously to approximately the composition needed and to a temperature far enough above its present meltingpoint to permit of its being cast into ingots or other castings.
    0
    0
  • The latitude is approximately that of Moscow, Berwickon-Tweed and Hopedale in Labrador.
    0
    0
  • In this equation a relates to molecular attraction; and it is not improbable that in isomeric molecules, containing in sum the same amount of the same atoms, those mutual attractions are approximately the same, whereas the chief difference lies in the value of b, that is, the volume occupied by the molecule itself.
    0
    0
  • According to the above formula the critical temperature is given by 8aA/54b, and as the critical temperature is approximately proportional to the boiling-point, both being estimated on the absolute scale of temperature, we may conclude that the larger value of b corresponds to the lower boilingpoint, and indeed the isomer corresponding to the left-hand formula boils at 74°, the other at 114°.
    0
    0
  • The sugar factories and refineries, situated chiefly in the governments of Warsaw, Lublin and Plock, turn out approximately one million tons of sugar in the year, the Polish sugar industry being exceeded in Russia only by that of Kiev.
    0
    0
  • In general form, so far as can be judged from the disarticulated skeleton, the okapi was more like an antelope than a giraffe, the fore and hind cannon-bones, and consequently the entire limbs, being of approximately equal length.
    0
    0
  • Wolff, who have obtained it by dissolving graphite in a fused mixture of silicates having approximately the composition of the blue ground.
    0
    0
  • To the Peshin valley the distance is about fro m., and from Peshin to India the three principal routes measure approximately as follows: by the Zhob valley to Dera Ismail Khan, 300 m.; by the Bori valley to Dera Ghazi Khan, 275 m.; by Quetta and the Bolan to Dadar, 125 m.; and by Chappar and Nari to Sibi, 120 m.
    0
    0
  • Kandahar is approximately a square-built city, surrounded by a wall of about 31 m.
    0
    0
  • The results of Forbes are interesting historically as having been the first approximately correct determinations of conductivity in absolute value.
    0
    0
  • - If the inside of a glass tube is exposed to steam, and the outside to a rapid current of water, or vice versa, the temperatures of the surfaces of the glass may be taken to be very approximately equal to those of the water and steam, which may be easily observed.
    0
    0
  • It is necessary that the thickness x should be approximately uniform.
    0
    0
  • The steam pressure in the heater may be periodically varied by the gauge in such a manner as to produce an approximately simple harmonic oscillation of temperature at the hot end, while the cool end is kept at a steady temperature.
    0
    0
  • They are now broken apart and sorted by mechanical sifters into the various grades or qualities, which are described as Orange Pekoe, Pekoe, Pekoe Souchong and Souchong, each of which names represents approximately the leaf-bud and the three lower leaves.
    0
    0
  • The rocks which compose the ancient floor are thrown into folds which run approximately from W.S.W.
    0
    0
  • Vote is by ballot, and one member is elected by (approximately) every 150,000 inhabitants.
    0
    0
  • The number of booksellers in Germany was not less than 10,000 in 1907, among whom were approximately 6000 publishers.
    0
    0
  • In addition, each would leave behind depot troops to form the nucleus on which the 2nd ban Landwehr and the Landsturm would eventually be built up. The total number of units of the three arms in all branches may be stated approximately at 2200 battalions, 780 squadrons and 950 batteries.
    0
    0
  • Remounts.The peace establishment in horses is approximately 100,000.
    0
    0
  • These rays are more or less perpendicular to the arc or band; sometimes they are very approximately parallel to one another, on other occasions they converge towards a paint.
    0
    0
  • This makes t=11.6 months after the middle of January, otherwise the 3rd of January, approximately.
    0
    0
  • A classification of the groups in the new Chamber presents many difficulties, but the following statement is approximately accurate.
    0
    0
  • Approximately, the value of the annual catch may be reckoned at from £600,000 to £800,000.
    0
    0
  • And since the revelations given in Medina frequently take notice of events about which we have fairly accurate information, and whose dates are at least approximately known, we are often in a position to fix their date with at any rate considerable certainty; here again tradition renders valuable assistance.
    0
    0
  • In many cases the historical occasion is perfectly clear, in others we can at least Medinan recognize the general situation from which they Sums. arose, and thus approximately fix their time.
    0
    0
  • At its initiation the proceeds were divided in approximately equal shares between the central government and the native administration, and a means was thus found of creating a legitimate revenue for the native chiefs to supersede the proceeds of slave-raiding and slave-dealing, and of oppression and extortion, by which they had hitherto supplied their needs.
    0
    0
  • In temples of Ptolemaic and Roman age the full series is figured presenting their tribute to the god, and this series approximately agrees with the scattered data of early monuments.
    0
    0
  • Demotic.Demotic Egyptian seems to represent approximately the vulgar speech of the Saite ~period, and is written in.
    0
    0
  • The Egyptian defences consisted of a long line of trench (21/2 m.) approximately at right Teii..ei.
    0
    0
  • The preponderance of the female population over the male is approximately as 1052 to 1000.
    0
    0
  • It extends to the death of Christian I., in 1481, which may be supposed to be approximately the date of the poem.
    0
    0
  • Although Portland cement is later in date than either Roman cement or hydraulic lime, yet on account of its greater industrial importance, and of the fact that, being an artificial product, it is of approximately uniform composition and properties, it may conveniently be treated of first.
    0
    0
  • The composition of typical samples of chalk and clay is shown in the following analyses: These materials are mixed in the proportion of about 3 :Iby weight so that the dried mixture contains approximately 75% of calcium carbonate, the balance being clay.
    0
    0
  • The term Natural Cements is applied to cements made by burning mixtures of clay and carbonate of lime naturally occurring in approximately suitable proportions.
    0
    0
  • Its church (13th and 16th centuries) is interesting only for the possession of two masterpieces of sculpture of uncertain authorship, executed approximately between 1490 and 1550.
    0
    0
  • The (approximately pure) metallic sponge obtained is washed, made compact by compression, fused in a porcelain crucible in an atmosphere of hydrogen, and cast into sticks.
    0
    0
  • Rouelle, is found in the urine of mammalia, birds and some reptiles; human urine contains approximately 2-3%, a grown man producing about 30 grammes daily.
    0
    0
  • The mountainous regions are mostly massed in the west and lie generally north and south, or approximately facing the rain-bringing winds from the Atlantic. Thus the climates of the west are essentially wet.
    0
    0
  • The conflict is usually solved for practical purposes by an understanding which is approximately general, namely that, in cases not provided for by treaty, no state shall protect those whom it claims as its nationals while residing in the territory of another state which claims them as its own nationals by any title, whether jus soli, jus sanguinis, naturalization, or the refusal to allow expatriation.
    0
    0
  • Of the migration itself no doubt is now felt, but the first entrance of the Polynesians into the Pacific must have been an event so remote that neither by tradition nor otherwise can it be even approximately fixed.
    0
    0
  • He has studied the folk-lore of those islands exhaustively, and from this source comes to the conclusion that the Polynesian migration from the Indian Archipelago may be approximately assigned to the close of the 1st or to the 2nd century.
    0
    0
  • Oxygen occurs naturally as one of the chief constituents of the atmosphere, and in combination with other elements it is found in very large quantities; it constitutes approximately eight-ninths by weight of water and nearly one-half by weight of the rocks composing the earth's crust.
    0
    0
  • Among other sources of revenue are an inheritance tax, which yields approximately $1,000,000 a year, and 7% of the annual gross earnings of the Illinois Central railway, given in return for the state aid in the construction of the road.
    0
    0
  • The pith is in the centre of the tree and around it the wood is disposed in approximately concentric rings; that part near the pith is hard and close in grain, and from its position is termed heart-wood.
    0
    0
  • From the Indian Ocean the Gulf of Oman is entered approximately where Persian territory begins at the tiny port of Gwattar.
    0
    0
  • The approximately contemporaneous Pliauchenaa makes another step by the loss of the second lower cheek-tooth.
    0
    0
  • Bearing in mind the details already given as to the dates of Fra Giovanni's sojournings in various localities, the reader will be able to trace approximately the sequence of the works which we now proceed to name as among his most important productions.
    0
    0
  • The means of the four seasons are approximately - for December, January, February and successive quarters-23°, 27°, 28° and 26° C. (73.4°, 80.6°, 82.4° and 78.8° F.).
    0
    0
  • From Kushkinski the boundary runs north-east, crossing the Murghab river near Maruchak (which is an Afghan fortress), and thence passes north-east through the hills of the Chul, and the undulating deserts of the Aleli Turkmans, to the Oxus, leaving the valleys of Charshamba and of Andkhui (to which it runs approximately parallel) within Afghan limits.
    0
    0
  • The total length of line is about 69,000 m., and the net profits of the service approximately pay for new new expenditure on capital account.
    0
    0
  • By numerous delicate experiments he proved that Boyle's law is only approximately true, and that those gases which are most readily liquefied diverge most widely from obedience to it.
    0
    0
  • Since the transit circle is preferable to the equatorial for such observations wherein great accuracy is required, the declination and hour circles of an equatorial are employed, not for the determination of the right ascensions and declinations of celestial objects, but for directing the telescope with ease and certainty to any object situated in an approximately known position, and which may or may not be visible to the naked eye, or to define approximately the position of an unknown object.
    0
    0
  • When the star enters the field of view its image is approximately bisected by the spider web of the micrometer n, the exact bisection being completed in the immediate neighbourhood of the meridian.
    0
    0
  • His most valuable works include the Bengal Atlas (1779), the first approximately correct map of India (1783), the Geographical System of Herodotus (1800), the Comparative Geography of Western Asia (1831), and important studies on the geography of northern Africa - in introductions to the Travels of Mungo Park and Hornemann - and the currents of the Atlantic and Indian Oceans.
    0
    0
  • The population is approximately 450,000, of which, exclusive of soldiers, not more than 3000 are whites.
    0
    0
  • The great bulk of the population, approximately 90%, is included in seven Christian tribes as follows: Visayan, 3,219,030; Tagalog, 1,460,695; Ilocano, 803,942; Bicol, 566,365; Pangasinan, 343,686; Pampangan, 280,984; and Cagayan, 159,648.
    0
    0
  • The members of the Assembly are elected by districts (the population of which is approximately equal) for a term of two years.
    0
    0
  • These Variations, So Far As They Were Of A Purely Accidental Nature, Would Be Approximately Eliminated On The Mean Of A Large Number Of Trials, So That The Accuracy Of The Final Result Would Be Of A Higher Order Than Might Be Inferred From A Comparison Of Separate Pairs Of Trials.
    0
    0
  • The Heat Loss Hdo Is Determined And Eliminated By Varying The Flow Of Liquid And The Electric Current Simultaneously, In Such A Manner As To Secure Approximately The Same Rise Of Temperature For Two Or More Widely Different Values Of The Flow Of Liquid.
    0
    0
  • The Well Known Experiments Of Regnault And Wiedemann On The Specific Heat Of Gases At Constant Pressure Agree In Showing That The Molecular Specific Heat, Or The Thermal Capacity Of The Molecular Weight In Grammes, Is Approximately Independent Of The Temperature And Pressure In Case Of The More Stable Diatomic Gases, Such As 112,02, N2, Co, &C., And Has Nearly The Same Value For Each Gas.
    0
    0
  • Albrecht has shown that, of the 10 members of the S Cephei class for which both the orbits and the light-variations are thoroughly known, the maximum light always occurs approximately at the time when the brighter component is approaching us most rapidly; this relation, which seems to be well established, is a most perplexing one.
    0
    0
  • Thus each cluster seems to consist of two kinds of stars, which we may distinguish as bright and faint; the bright stars are all approximately of one standard size, and the faint stars of another standard size and brightness.
    0
    0
  • C. Kapteyn, with the result that it appears to be not even approximately accordant with the facts.
    0
    0
  • There is also clear evidence that the mean distances of both drifts from us are very approximately the same.
    0
    0
  • As has been explained the mean distance of a group of stars can be readily determined from the parallactic motion, which, when not foreshortened, is approximately four times the parallax; but to obtain a complete knowledge of the distribution of stars it is necessary to know, not merely the mean parallax of the group, but also the frequency law, i.e.
    0
    0
  • The temple proper, according to this plan, consisted of an outer and inner court (each covering approximately 8 acres), surrounded by double walls, with ziggurat on the north-western edge of the latter.
    0
    0
  • So too, if the canon of the Method of Agreement is never more than approximately satisfied, intermixture of effects will in practice mean that we at least often do not know the cause or antecedent equivalent of a given effect, without the possibility of an alternative.
    0
    0
  • The stages at which heat is taken from the furnace and rejected to the cooler (C) are approximately isothermal at the upper and lower limits of temperature respectively, and the cycle accordingly is approximately "perfect" in the thermodynamic sense.
    0
    0
  • 0' and 0", we see that Rankine's result follows immediately, provided that p(v-b) is equal to (S-s)0 or Rolm, which is approximately true for gases and vapours when v is very large compared with b.
    0
    0
  • Admitting the value S =0.497 for the specific heat at 108° C., it is clear that the form of Regnault's equation (io) must be wrong, although the numerical value of the coefficient 0.305 may approximately represent the average rate of variation over the range (loo° to 190° C.) of the experiments on which it chiefly depends.
    0
    0
  • (is) The index n in the above formula, representing the rate of variation of c with temperature, is approximately the same as that expressing the rate of variation of the cooling effect Q, which is nearly proportional to c, and is given by the formula SQ= (n+i)c - b..
    0
    0
  • Observing that this rate of diminution is approximately as the square of the reciprocal of the absolute temperature, we see that the almost equally simple formula log p=A+B/0 represents a much closer approximation to experiment.
    0
    0
  • Under these conditions both S and s may be regarded as approximately constant, so that L is a linear function of the temperature.
    0
    0
  • For limits of date 400-150 B.C. may be regarded as approximately probable; the two most important inscriptions - those of Bindisi and Vaste - may perhaps be assigned provisionally to the 3rd century B.C.
    0
    0
  • 2% of the whole area of the state, that of 1900 (16,636,719 acres) was 49 70; and while only a fifth of this farm area was actually improved in 1860, two-fifths were improved in 1900; thus, the part of the state's area actually cultivated approximately quadrupled in four decades.
    0
    0
  • At any rate it may be said that generally speaking the maximum, minimum and mean temperatures of points of approximately equal altitude are respectively but slightly different in northern or southern California.2 Death Valley surpasses for combined heat and aridity any meteorological stations on earth where regular observations are taken, although for extremes of heat it is exceeded by places in the Colorado desert.
    0
    0
  • They afford 60% of a colourless or pale-yellow, sweettasting, non-drying oil, which has a specific gravity of 0.92 nearly, becomes solid at - 19° C. (Cloez), and consists approximately of carbon 77, and hydrogen and oxygen each 11.5%.
    0
    0
  • A German firm runs vessels at approximately bi-monthly intervals from Singapore to Labuan and thence to Sandakan, calling in on occasion at Jesselton and Kudat en route.
    0
    0
  • It approximately corresponds to the period of the 15th of July to the 15th of August.
    0
    0
  • The magnet is so weighted that its axis is approximately horizontal, and any change in the inclination of the axis is observed by means of an attached mirror, a second mirror fixed to the stand serving to give a base line for the records, which are obtained in the same way as in the case of the declination.
    0
    0
  • Accurate statistics as to the growth and distribution of the population cannot be obtained, and the figures given below are based on estimates which can only be approximately correct.
    0
    0
  • The table on p. 660 contains the names that have been applied to the subdivisions of the Cambrian strata in the areas of outcrop in Wales and England; at the same time it indicates approximately their relative position in the system.
    0
    0
  • The middle division covers approximately the same region as the lower one, and in addition it is found in Texas, Oklahoma, Indian Territory, Arizona, in western Montana, and possibly in western Wisconsin.
    0
    0
  • Before history begins it had also lost, except sporadically in out-of-the-way dialects, the semi-vowel i (approximately English y).
    0
    0
  • In the Phoenician alphabet Zain was the seventh letter, occupying the same position and having the same form approximately (i) as the early Greek Z, while in pronunciation it was a voiced s-sound; Samech () followed the 'symbol for n of and was the ordinary s-sound, though, as we have seen, e it is in different Greek states at the earliest period as well as E; after the symbol for p came Zade (v), which was a strong palatal s, though in name it corresponds to the Greek Nra; while lastly Shin (W) follows the symbol for r, and was an sh-sound.
    0
    0
  • On the western edge of the plateau several short ranges, running approximately east and west, rise above the general level: - Sultan Dagh (6500 ft.); SalbacusCadmus (8000 ft.); Messogis (3600 ft.); Latmus (6000 ft.); Tmolus (5000 ft.); Dindymus (8200 ft.); Ida (5800 ft.); and the Mysian Olympus (7600 ft.).
    0
    0
  • In Ireland, Sir William Wilde has assigned their range approximately to the period between the 9th and 16th centuries; while Dr Munro holds that the vast majority of them, both in Ireland and in Scotland, were not only inhabited, but constructed during the Iron Age, and that their period of greatest development was as far posterior to Roman civilization as that of the Swiss Pfahlbauten was anterior to it.
    0
    0
  • Since 1888, when Altona joined the imperial Zollverein, approximately half a million sterling has been spent upon harbour improvement works.
    0
    0
  • ~ the inclination to the horizontal at A or B, we have 2T~=W, AB =2p~t, approximately, where p is the radius of curvature.
    0
    0
  • This appears to be the case very approximately with steel or glass balls; generally, however, there is some appreciable loss of apparent energy; this is accounted for by vibrations produced in the balls and imperfect elasticity of the materials.
    0
    0
  • The acceleration is towards the vertical through the point of suspension, and is equal to g~/l, approximately, if r denote distance from this vertical.
    0
    0
  • Hence the path is approximately, an ellipse, and the period is 2sr ~/ (l/g).
    0
    0
  • Assuming that r=a+x, where x is small, we have, approximately, dix hiI 3x\
    0
    0
  • Again, the half-period of x i irf-~ lf(a) +3a_if(a) ~, and since the angular velocity in the orbit i h/af, approximately, the apsidal angle is, ultimately, IS f(a) ?
    0
    0
  • With a very rapid spin, or (more precisely) with Cu large in comparison with ij(4AMgh cos 0), one value of ~l is small and the other large, viz, the two values are Mgh/Cn and Cu/A cos 6 approximately.
    0
    0
  • When 1 is large we have, for the slow precession cr=p/A, and for the rapid precession o-=A/v cos a=~l, approximately.
    0
    0
  • When both are near the lowest point the horizontal projection of the path is approximately an ellipse, as shown in 13; a closet investigation shows that the ellipse is to be regarded as revolving about its centre with the angular velocity ~ab~~/l2, where a, b are the semi-axes.
    0
    0
  • If 0, 4, be the inclinations of the two strings to the vertical, we have, approximately, 2T=Ma1O2+~n(aO+b~)1, ~ 1
    0
    0
  • If M be large compared with in, u is small, and the roots are g/a and g/b, approximately.
    0
    0
  • If, on the other hand M is small compared with in, u is nearly equal to unity, and the root1 of (12) are a2=g/(a+b) and fri_-=nigIM.(a~b)/ab, approximately The former root makes 0=4,, nearly; in the corresponding normal mode m oscillates like the bob of a simple pendulum of length a+b.
    0
    0
  • In the second mode aO+b4i =0, nearly, so that m is approximately at rest.
    0
    0
  • If x be measured upwards from the lower end, the horizontal component of the tension P at any point will be Pay/ax, approximately, if y denote the lateral displacement.
    0
    0
  • For the proportions approved of by Willis, sin 0 = 3/4 nearly; r = (the pitch) nearly; c=1/2p nearly; and, if N be the number of teeth in the wheel, r/R =6/N nearly; therefore, approximately, p C=~.
    0
    0
  • To make the teeth of a pair of endless screws fit correctly and work smoothly, a hardened steel screw is made of the figure of the smaller screw, with its thread or threads notched so as to form a cutting tool; the larger screw, or wheel, is cast approximately of the required figure; the larger screw and the steel screw are fitted up in their proper relative position, and made to rotate in contact with each other by turning the steel screw, which cuts the threads of the larger screw to their true figure.
    0
    0
  • The more recent experiments of Lasche (Zeitsch, Verein Deutsche Ingen., 1902, 46, 1881) show that the product of the coefficient of friction, the load on the bearing, and the temperature is approximately constant.
    0
    0
  • This result, which is exact for involute teeth, is approximately true for teeth of any figure.
    0
    0
  • In balancing the mechanism of a steam engine it is often sufficiently accurate to consider the motion of the pistons as simple harmonic, and the effect on the framework of the acceleration of the connecting rod may be approximately allowed for by distributing the weight of the rod between the crank pin and the piston inversely as the centre of gravity of the rod divides the distance between the centre of the cross head pin and the centre of the crank pin.
    0
    0
  • In 1908 their numbers were estimated at approximately 5,500,000.
    0
    0
  • Thus in 1901 the department of the Herault alone produced nearly 300 million gallons of wine, or approximately a quarter of the whole output of France.
    0
    0
  • The Pliocene is of marine origin, and rests unconformably upon all the older beds, including the Post-oligocene igneous rocks, thus proving that the final folding and the last volcanic outbursts were approximately of Miocene age.
    0
    0
  • The conditions of peasant ownership differ from those which prevail in other parts of Russia, and of the total area the peasants hold approximately one-half; 42% of the total is in the hands of private owners, a considerable number of Germans having settled and bought land in the government.
    0
    0
  • To the mask itself no real importance attaches, though that feature of the story gave it a romantic Approximately.
    0
    0
  • The largest church of this section, consisting of approximately 500 members, originated in Edinburgh in 1765, before which date only one Baptist church - that of Keiss in Caithness, formed about 1750 - appears to have existed in Scotland.
    0
    0
  • In one or two cases the number of spindles is obtained approximately by reckoning twenty spindles per loom, which is about the average for the Indian mills.
    0
    0
  • About 250 vessels enter the port every year, and the annual value of the foreign trade is, approximately, £200,000 to £250,000.
    0
    0
  • While working on the olefines he noticed that a change takes place in the density of the vapour of amylene hydrochloride, hydrobromide, &c., as the temperature is increased, and in the gradual passage from a gas of approximately normal density to one of half-normal density he saw a powerful argument in favour of the view that abnormal vapour densities, such as are exhibited by sal-ammoniac or phosphorus pentachloride, are to be explained by dissociation.
    0
    0
  • The amount of revenue accruing to the Crown from the whole Reduktion it is impossible to estimate even approximately; but by these means, combined with the most careful management and the most rigid economy, Charles XI.
    0
    0
  • The great longitudinal valley of Chile runs approximately, but only approximately, along the boundary between the two zones.
    0
    0
  • The mountain ranges of Baluchistan consist chiefly of Cretaceous and Tertiary beds, which are thrown into a series of folds running approximately parallel to the mountain ridges.
    0
    0
  • Throughout this vast space of elevated plateau and mountain face geologists now trace a system of main chains, or axes, extending from the Hindu Kush to Assam, arranged in approximately parallel lines, and traversed at intervals by main lines of drainage obliquely.
    0
    0
  • Although the northern limits of the Tsanpo basin are not :sufficiently well known to locate the Indo-Tibetan watershed even approximately, there exists some scattered evidence of the nature of that strip of Northern Hima p laya on the Tibeto-Nepalese border which lies between the line of greatest elevation and the trough of the snowy Tsanpo.
    0
    0
  • North of Bhutan, between the Himalayan crest and Lhasa, this formation is approximately maintained; farther east, although the same natural forces first resulted in the same effect of successive folds of the earth's crust, forming extensive curves of ridge and furrow, the abundant rainfall and the totally distinct climatic conditions which govern the processes of denudation subsequently led to the erosion of deeper valleys enclosed between forest-covered ranges which rise steeply from the river banks.
    0
    0
  • There is a series of such faults, approximately parallel to one another, and although they have not been traced throughout the whole chain, yet wherever they occur they seem to have formed the northern boundary of deposition of the deposits immediately to the south of them.
    0
    0
  • The annual value of the foreign trade of Portugal amounts approximately to £19,000,000.
    0
    0