4) in which the field-lens is changed into a meniscus having radii in about the ratio of +I to - 9 gives still better results, but still not quite so good as the results obtained by using the combination of two convexo-plane lenses of the focal ratio 2 to I. Suppose that the ratio of 10, or any other particular number, to i is compounded of a very great number of equal ratios, as, for example, 1,000,000, then it can be shown that the ratio of 2 to i is very nearly equal to a ratio compounded of 301,030 of these small ratios, or ratiunculae, that the ratio of 3 to I is very nearly equal to a ratio compounded of 477,121 of them, and so on. Thus, the gases are not present in simple multiples of their combining weights; atmospheric air results when oxygen and nitrogen are mixed in the prescribed ratio, the mixing being unattended by any manifestation of energy, such as is invariably associated with a chemical action; the gases may be mechanically separated by atmolysis, i.e. so much of either metal as is present in excess over the eutectic ratio, freezes out before the eutectic; (2) that though thus constant, its composition is not in simple atomic proportions; (3) that its freezing-point is constant; and (4) that, when first formed, it habitually consists of interstratified plates of the metals which compose it. In its long course it varies greatly both in depth and width, in some parts being only a few feet deep and spreading out to a width of more than a mile, while in other and mountainous portions of its course its channel is narrowed to 300 or 400 ft., and its depth is increased in inverse ratio. To find the length of the path of contact on either side of the pitch-point I, it is to be observed that the distance between the fronts of two successive teeth, as measured along PiIPi, is less than the pitch in the ratio of cos obliquity: I; and consequently that, if distances equal to the pitch be marked off either way from I towards P~ and Pi respectively, as the extremities of the path of contact, and if, according to Principle IV. Lorenz, assuming that the ratio k/k'=aG, had previously given 0 2 maz Bo g = E2/4a, (12) which is practically identical with the preceding for small differences of temperature. Vera autem ratio, quum virtutibus suis rata atque immutabilis munitur, nullius auctoritatis adstipulatione roborari indiget" (De divisione naturae, i. These con-, ditions pertain in cases where distillation with steam is successfully practised, the relatively high volatility of water being counterbalanced by the relatively high molecular weight of the other component; for example, in the case of nitrobenzene and water the ratio is I to 5. The definition of a ratio is the relationship between two things. (benefit to risk, price to earnings) Used with prepositions: " The ratio of water to salt is too high. " In water and in ethylene experiment shows that 8 parts by weight of oxygen and 6 parts of carbon, respectively, are in union with one part of hydrogen; also, if the diagrams are correct, these numbers must be in the ratio of the atomic weights of oxygen and carbon. These cookies do not store any personal information. Let Ti be the tension of the free part of the band at that side towards which it tends to draw the pulley, or from which the pulley tends to draw it; 1, the tension of the free part at the other side; T the tension of the band at any intermediate point of its arc of contact with the pulley; 0 the ratio of the length of that arc to the radius of the pulley; do the ratio of an indefinitely small element of that arc to the radius; F=TiT2 the total friction between the band and the pulley; dF the elementary portion of that friction due to the elementary arc do; f the coefficient of friction between the materials of the band and pulley. The import of the manufactured product from 1875 to 1900 increased at a much greater ratio than that of the raw grain, for whilst in 1875 the former represented less than one-ninth of the total, by 1900 the proportion had risen to nearly one-fourth. Consequently, one of the forms suitable for the teeth of wheels is the involute of a circle; and the obliquity of the action of such teeth is the angle whose cosine is the ratio of the radius of their base-circle to that of the pitch-circle of the wheel. Women outnumbered men by a ratio of three to two. Archimedes gave his results in the treatise IIepi Ti j c aOaipas Kai roD KUXLvbpov: he left unfinished the problem of dividing a sphere into segments whose volumes are in a given ratio. To illustrate this subject, it may be mentioned that an ellipse rotating about one focus rolls completely round in outside gearing with an equal and similar ellipse also rotating about one focus, the distance between the axes of rotation being equal to the major axis of the ellipses, and the velocity ratio varying from to I ~eccentricitY an hyperbola rotating about its further focus rolls in inside gearing, through a limited arc, with an equal and similar hyperbola rotating about its nearer focus, the distance between the axes of rotation being equal to the axis of the hypereccentricity + I. bolas, and the velocity ratio varying between.. Suppose that the ratio of 10, or any other particular number, to i is compounded of a very great number of equal ratios, as, for example, 1,000,000, then it can be shown that the ratio of 2 to i is very nearly equal to a ratio compounded of 301,030 of these small ratios, or ratiunculae, that the ratio of 3 to I is very nearly equal to a ratio compounded of 477,121 of them, and so on. It is found that this gives a consistent result; that is to say, if by an experiment with two particles A and B we get the ratio of their masses, and by an experiment with B and a third particle C we get the ratio of the masses of B and C, and thus the ratio of the masses of A and C, we should get the same ratio by a direct experiment with A and C. For the numerical measure of mass that of some standard body is chosen as a unit, and the masses of other bodies are obtained by comparison with this. Examples of how to use “ratio test” in a sentence from the Cambridge Dictionary Labs The National Democratic Convention declared for the immediate opening of the mints to the free and unlimited coinage of silver at the ratio with gold of 16 to 1; and it nominated for the presidency William Jennings Bryan of Nebraska, who also received the nomination of the People's party and of the National Silver party. His book, Van den Circkel (Delft, 1596), gave the ratio correct to 20 places, but he continued his calculations as long as he lived, and his best result was published on his tombstone in St Peter's church, Leiden. Let us assume that the ratio p/p' of the vapour pressures of the solvent and solution is equal to the ratio of the number of free molecules of solvent to the whole number of molecules in the solution. Ratio is the amount of Concrete Detail in a paragraph compared to the amount of commentary connected to the CD. www.use-in-a-sentence.com English words and Examples of Usage Example Sentences for "proportion" Writer Anais Nin observed that life shrinks or expands in proportion to one's courageBecause we have a home-based business, we can deduct a proportion of our rent as an expense when we do our income tax. He discovered that gases always combined in volumes having simple ratios, and that the volume of the product had a simple ratio to the volumes of the reacting gases. Some operations may be described in different ways. He weighed out a lump of gold and of silver of the same weight as the crown; and, immersing the three in succession in water, he found they spilt over measures of water in the ratio:: A or 33: 24: 44; thence it follows that the gold: silver alloy of the crown was as I I: 9 by weight. The proper terminology When you translate algebraic expressions into phrases, you should use proper terminology (chapters: Basic operations, Additive inverse, What is a fraction, Multiplicative inverse (reciprocal), What is an exponent, What is a root). This law states that: - gases combine with one another in simple proportions by volume, and the volume of the product (if gaseous) has a simple ratio to the volumes of the original mixtures; in other words, the densities of gases are simply related to their combining weights. In the absolute determination of capacity we have to measure the ratio of the charge of a condenser to its plate potential difference. Students will be given 5 minutes to work on the question independently. The actual ratio for response to literature is 1:2+, which means there must be at least two sentences of Commentary for each sentence of Concrete Detail like so: Topic sentence (TS) Which means the answer to ratio 52:12 simplified is: 13:3 Here is the math to illustrate better: 52/4 = 13 and 12/4 = 3 Thus, 52:12 ratio simplified is 13:3 Ratio Simplifier The ratio 52:12 is not the only ratio we can simplify. If the velocity ratio is to be variable, as in s Williss Class B, the figures of the wheels are a pair of rolling curves, subject to the condition that the distance between their poles (which are the centres of rotation) shall be constant. Example sentences with "price-quality ratio", translation memory. That means 10 is … by taking advantage of the different rates of diffusion of the two gases; the solubility of air in water corresponds with the "law of partial pressures," each gas being absorbed in amount proportional to its pressure and coefficient of absorption, and oxygen being much more soluble than nitrogen (in the ratio of 04114 to 02035 at o°); air expelled from water by boiling is always richer in oxygen. P 1 greater than P2, if the molecular weight of A be much less than that of B, then it is obvious that the ratio M 1 P 1 /M 2 P 2 need not be very great, and hence the less volatile liquid B would come over in fair amount. This latter gives the ratio of the length of the working periods to the whole time; e.g. 38. The lack of the true zero in the interval scales, make it impossible to make conclusions about how many times higher one values is than another. Not a state of the Union as it existed in 1850 showed an increase, during the half-century following, in the ratio of white children under 16 to fooo white females over f6 years: the ratio declined for the whole country from 1600 to iioo; and it has fallen for the census area of 1790 from 1900 in that year to 1400 in 1850 and 1000 in 1900. In addition, one individual can be twice as tall as another individual. Rabelais not only lectured on Galen and Hippocrates, but edited some works of the latter; and Michael Servetus (1511-1553), in a little tract Syruporum universa ratio, defended the practice of Galen as compared with that of the Arabians. From (3) it appears that the time in which a disturbance is multiplied in a given ratio varies, not as d, but as d z. The frequency of the gravest mode is to that of a uniform bar in the ratio .98 15. Since the interval scale has no true zero point, you cannot calculate Ratios. It can be easily seen that this ratio, according to Henry's law, must correspond to that of vapour-pressures, and so be independent of the solvent; in fact, in alcohol the figures are o 0066 and o o052. Example 1 (Writing Ratios - Example 1) The coed basketball league has five times as many boys on it as girls. It may be shown to be the locus of the vertex of the triangle which has for its base the distance between the centres of the circles and the ratio of the remaining sides equal to the ratio of the radii of the two circles. It follows at once that any method which may be available for the determination of the velocity ratio is equally available for the determination of the force ratio, it being clearly understood that the forces involved are the components of the actual forces resolved in the direction of motion of the points. He applied himself more particularly to the oxygen compounds, and determined with a fair degree of accuracy the ratio of carbon to oxygen in carbon dioxide, but his values for the ratio of hydrogen to oxygen in water, and of phosphorus to oxygen in phosphoric acid, are only approximate; he introduced no new methods either for the estimation or separation of the metals. p. 43) In music he held that the notes of the scale are to be judged, not as the Pythagoreans held, by mathematical ratio, but by the ear. rhe ratio of this fluctuation to the mean velocity, sometimes called the unsteadiness of the motion of the body, is (vivi)V =gE/Viw. "Expansible chainwheel variable ratiomechanical drive". Usage examples for "ratios" in English These sentences come from external sources and may not be accurate. The rainfall is sufficient for good grazing, but except in the Flathead valley cultivation was long considered to be dependent on irrigation; and consequently farming was only incidental to stock raising and mining until after 1870, and as late as 1900 the ratio of improved farm land to the total land area was less than in any other state or territory except New Mexico, Wyoming, Arizona and Hawaii. It may be readily shown that the external and internal centres are the points where the line joining the centres of the two circles is divided externally and internally in the ratio of their radii. smaller and smaller proportion of the whole, and the austenitecementite eutectic which forms at the eutectic freezing-point, 1130° (aB), increases in amount until, when the carbon-content reaches the eutectic ratio, 4 30%, there is but a single freezing-point, and the whole mass when solid is made up of this eutectic. The highest ratio of overweight people in the world is in Russia, at 25.4 percent, followed by Mexico at 25.1 percent. unless we increase the length of the stem in the inverse ratio of the sectional area. But opting out of some of these cookies may have an effect on your browsing experience. Its history does not run parallel with the scientific side, but rather varies in inverse ratio with scientific activity. The change in the character of the immigration of Japanese is shown by the fact that in the fiscal year 1906-1907 the ratio of female immigrants to males was as i to 8, in the fiscal year 1907-1908 it was as I to 2, and in the latter year, of 4593 births in the Territory, 2445 were Japanese. An example of a ratio is four chocolates for every three completed homework assignments written as 4:3. Male factory hands greatly outnumbered female, standing in the ratio of four to one. The general theory of ratio and proportion requires the use of general symbols. If V = N/A then N expresses the ratio of the volume of the instrument up to the zero of the scale to that of one of the scale-divisions. All experiments in frequency show that two notes, forming a definite musical interval, have their frequencies always in the same ratio wherever in the musical scale the two notes are situated. 3 X Io 2 ° of an electromagnetic unit, and the ratio of its charge to its mass is nearly 2 X 10 7 using E.M. For the hydrogen atom the ratio of charge to mass as deduced from electrolysis is about Io 1. If the ratio of the radii be as I to 4, we obtain the four-cusped hypocycloid, which has the simple cartesian equation x 2'3+ y 213 = a 21 '. P/E Formula . In the example above, if all of XYZ's current liabilities came due on January 1, 2010, XYZ would be able to meet those obligations with cash . They consider, however, that Kirchhoff's theory, which assumes change of magnetization to be simply proportional to strain, is still in its infancy, the present stage of its evolution being perhaps comparable with that reached by the theory of magnetization at the time when the ratio I/H was supposed to be constant. For Such Gases, Assuming A Constant Ratio Of Rotation To Translation, The Specific Heat At Low Pressures Would Be Very Nearly Constant. The chief term in the lunar longitude which introduces the ratio of the distances of the sun and moon from the earth explicitly is known as the parallactic inequality; by analysis of the observations P. H. It is equally satisfactory to know that there is a nearly constant ratio on any given area (exceeding perhaps 1000 acres) between the true mean annual rainfall, the rainfall of the driest year, the two driest consecutive years and any other groups of driest consecutive years. How to calculate a company’s P/E ratio This ratio is calculated by dividing a company’s stock price by the company’s earnings-per-share (EPS.) Company stock price/Earnings-per-share (EPS) Fortunately, you don’t have to calculate this ratio yourself, as there are many resources that calculate this number for you. A volume entitled Opera posthuma (Leiden, 1703) contained his "Dioptrica," in which the ratio between the respective focal lengths of object-glass and eye-glass is given as the measure of magnifying power, together with the shorter essays De vitris figurandis, De corona et parheliis, &c. An early tract De ratiociniis tin ludo aleae, printed in 16J7 with Schooten's Exercitationes mathematicae, is notable as one of the first formal treatises on the theory of probabilities; nor should his investigations of the properties of the cissoid, logarithmic and catenary curves be left unnoticed. It is also necessary to notice that shunt instruments cannot be used for high frequencies, as then the relative inductance of the shunt and wire becomes important and affects the ratio in which the current is divided, whereas for low frequency currents the inductance is unimportant. A temperature of 20 degrees is not twice as warm as one of 10 degrees. which shows that the ratio of the two forces may be found by taking moments about the instantaneous centre of the link on which they act. 109) is a contrivance for varying and adjusting the velocity ratio communicated between a pair of parallel shafts by means of a belt. The ratio of boys to girls in the classroom was much higher than last year. The average attendance of enrolled black and white pupils is practically identical, but the enrolment of whites (about 52% in 1902) is somewhat higher and that of the blacks about a third lower than their ratio in the population. For example, when people drive, they travel at a … (ruined, destroyed, improved, strengthened) " We ended our relationship. An ordinary British 10-ton wagon often weighs about 6 tons empty, and rarely much less than 5 tons; that is, the ratio of its possible paying load to its tare weight is at the best about 2 to 1. In every case which occurs in practice, however, the velocity ratio is FIG. All of the example sentences above can be used with students to illustrate the different types of topic sentences. It is represented by the ratio of a number containing about a hundred and sixty figures to unity, and so we are at once forced to the conclusion that this remarkable feature of the planetary motions must have some physical explanation. In the North there was little difference in 1900 in the ratios shown by city and country districts, but in the South the ratio in the latter was almost twice that reported for the former. The axes of rotation of a pair of turning pieces connected by a link are almost always parallel, and perpendicular to the line of connection n which case the angular velocity ratio at any instant is the recipocal of the ratio of the common perpendiculars let fall from the me of connection upon the respective axes of rotation. If The Molecules Are Supposed To Be Like Smooth, Hard, Elastic Spheres, Incapable Of Receiving Any Other Kind Of Energy Except That Of Translation, The Specific Heat At Constant Volume Would Be The Increase Per Degree Of The Kinetic Energy Namely 3Pv/20=3R/2, That At Constant Pressure Would Be 5R/2, And The Ratio Of The Specific Heats Would Be 5/3 Or 1.666. The heat evolved by this process of solidification retards the fall of temperature; but after this the rate of cooling remains regular until T (750°) on the line Sa (Ar 3) is reached, when a second retardation occurs, due to the heat liberated by the passage within the pasty mass of part of the iron and carbon from a state of mere solution to that of definite combination in the ratio Fe 3 C, forming microscopic particles of cementite, while the remainder of the iron and carbon continue dissolved in each other as austenite. In 1699 Abraham Sharp, on the suggestion of Edmund Halley, took Gregory's series, and, putting tan 0=11/3, found the ratio equal to 1 112 (I { 5 32 - 7 33 +...), from which he calculated it correct to 71 fractional places.'. As with light the ratio involved in the second law is always equal to the ratio of the velocity of the wave in the first medium to the velocity in the second; in other words, the sines of the angles in question are directly proportional to the velocities. Sliding Contact (direct): Teeth of Wheels, their Number anc PitchThe ordinary method of connecting a pair of wheels, or wheel and a rack, and the only method which ensures the exaci maintenance of a given numerical velocity ratio, is by means of i series of alternate ridges and hollows parallel or nearly parallel t(the successive lines of contact of the ideal smooth wheels whon velocity ratio would be the same with that of the toothed wheels The ridges are called teeth; the hollows, spaces. A periodic sentence has the main clause or predicate at the end. Soc., 1905, 27, p. 222), by determinations of the ratio of cadmium chloride to silver chloride, and of the amount of silver required to precipitate cadmium chloride. If there are n molecules of solute to N of solvent originally, and each molecule of solute combines with a molecule of solvent, we get for the ratio of vapour pressures p/p'=(N - an)/(N - an+n), while the relative lowering of vapour pressure is (p - p')/p=n/(N - an). In such cases the speed with which the wings are driven is increased in the direct ratio of the mutilation. Golden-ratio sentence examples. The ratio of the surface speeds of the drawing roller and the feed roller is termed the draft: surface speed of drawing roller _ draft. He maintained that, under varying conditions, two substances could combine in an indefinitely large number of different ratios, that there could in fact be a continuous variation in the combining ratio. Write the items in the ratio as a fraction. (8) The linear magnitude which measures the ratio of translation to rotation in a screw is called the pitch. GLANCES AT EUROPE HORACE GREELEY This ratio constitutes one of the most important points in diagnosis, since it … Calling the radius r, and denoting by the ratio of the circumference to the diameter of a circle, the volume is 31rr 3, and the surface 41rr2. 1 V 2+2A/ From this point onwards, therefore, no knowledge whatever of geometry was necessary in any one who aspired to determine the ratio to any required degree of accuracy; the problem being reduced to an arithmetical computation. Double Hookes Coupling.It has been shown in 66 that the velocity ratio of a pair of shafts coupled by a universal joint fluctuates between the limits cos 0 and 1/cos 0. The horsepower available at the driving-axle, conveniently called the brake horse-power, is from 20 to 30% less than the indicated horse-power, and the ratio, B.H.P./I.H.P. The aspect ratio states the comparison of width to height and is commonly used to describe the shape of a TV or computer screen. which is the ratio of the linear velocity of rotation 2dp to u, the velocity of advance, -T2 d2 C 22 tans = n 2 = 4 = (c 2 - Ct) cg C12 2 W! 37 36 The accounts receivable turnover ratio is an efficiency ratio and is an indicator of a company’s financial and operational performance Analysis of Financial Statements How to perform Analysis of Financial Statements. Blaine, on the other hand, contended that representation should be based on population instead of voters, as being fairer to the North, where the ratio of voters varied widely, and he insisted that it should be safeguarded by security for impartial suffrage. In the case of solutions, if the absorption of the solvent is negligible, the effect of increasing the concentration of the absorbing solute is the same as that of increasing the thickness in the same ratio. (ii.) the ratio of the total area of the islands to that of the water surface) is higher than that of any other lake in Great Britain, Loch Lomond coming next. EfficiencyThe efficiency of a machine is the ratio of the useful work to the total workthat is, to the energy exertedand is represented by 1~. The ratio of the axes of the ellipse is sec a, the longer axis being in the plane of 0. The ratio of the two components of that velocity is = p/2lrr = tan 0. If the forks are not of exactly the same frequency the ellipse will slowly revolve, and from its rate of revolution the ratio of the frequencies may be determined (Rayleigh, Sound, i. If the Federal Reserve's reserve ratio requirement is 10%, Bank XYZ must keep at least $40 million in an account at a Federal Reserve bank and may not use that cash for lending or … If the writing assignment requires a particular text structure, there are specific transition words that can help students organize their paragraphs. For example, a company with a ratio of four, not inherently a “high” number, will appear to be performing considerably better if the average ratio for its industry is two. In ocean water the ratio of soda (Na 2 O) to potash (K 2 0) is loo: 3.23 (Dittmar); in kelp it is, on the average, ioo: 5.26 (Richardson). He generalized Weber's law in the form that sensation generally increases in intensity as the stimulus increases by a constant function of the previous stimulus; or increases in an arithmetical progression as the stimulus increases in a geometrical ratio; or increases by addition of the same amount as the stimulus increases by the same multiple; or increases as the logarithm of the stimulus. This property of the parallelogram is utilized in the construction of the pantograph, an instrument used for obtaining a copy of a map or drawing on a different scale. Explanation: On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio. Members of the elite federal government and military personnel darted between greencars and buildings, the buzz of radios and shouts adding to the compound's chaos. The ratio of students to teachers is 12 to 1. Girl petting cat as periodic sentence examples Periodic Sentences in Everyday Life. In the Snow telescope the ratio of aperture to focal length is I: 30. Pulleys and drums for communi cating a constant velocity ratio are circular. A moratorium of the death penalty is necessary to address the blatant prejudice in our application of the You must then deal fully with the ratio decidendi of the case, with a detailed analysis of Lord Templeman's judgment on behalf of the majority. The ratio between a person’s income and their expenses will help determine how much money they can save monthly. A crystal may be regarded as built up of primitive parallelepipeda, the edges of which are in the ratio of the crystallographic axes, and the angles the axial angles of the crystals.
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