## Proportional Sentence Examples

- The equation then becomes a 2 /V = k, or a = A / Vk, so that the molecular conductivity is
**proportional**to the square root of the dilution. - The
**proportional**rent is from I% to 5:/. - The close agreement between the results at least indicates that "the amount of heat produced by friction is
**proportional**to the work done and independent of the nature of the rubbing surfaces." - The Liber abaci, which fills 459 printed pages, contains the most perfect methods of calculating with whole numbers and with fractions, practice, extraction of the square and cube roots, proportion, chain rule, finding of
**proportional**parts, averages, progressions, even compound interest, just as in the completest mercantile arithmetics of our days. - He found that the amounts of the substances liberated in each cell were
**proportional**to the chemical equivalent weights of those substances. - We may sum up the chief results of Faraday's work in the statements known as Faraday's laws: The mass of substance liberated from an electrolyte by the passage of a current is
**proportional**(I) to the total quantity of electricity which passes through the electrolyte, and (2) to the chemical equivalent weight of the substance liberated. - Thus the smallest rotation of either head communicates to the corresponding slide motion, which, if the screws are accurate, is
**proportional**to the amount through which the head is turned. - The ordinates of the curve give the strain in cwts., and the abscissae the distance in miles measured from the Canso end; as the strain is
**proportional**to the depth, 18 cwts. - By means of this " light-relay " the intensity of the light acting at any moment upon the sensitized paper is made
**proportional**to the illumination of the selenium in the transmitter. - It is
**proportional**, and is collected by deduction from salaries and pensions paid to servants of the state, where it is assessed on three-eighths of the income, and from interest on consolidated stock, where it is assessed on the whole amount; and by register in the cases of private individuals, who pay on three-fourths of their income, professional men, capitalists or manufacturers, who pay on one-half or nine-twentieths of their income. - The exhaust steam passing from the engine through the blastpipe and the chimney produces a diminution of pressure, or partial vacuum, in the smoke-box roughly
**proportional**to the weight of steam discharged per unit of time. - Quesnay and Mirabeau had advocated a
**proportional**tax (impot de quotite), but Turgot a distributive tax (impot de repartition). - While furnishing - almost unconsciously, however - additional evidence for overthrowing that classification, there is, nevertheless, no attempt made to construct a better one; and the elaborate tables of dimensions, both absolute and
**proportional**, suggestive as is the whole tendency of the author's observations, seem not to lead to any very practical result, though the systematist's need to look beneath the integument, even in parts that are so comparatively little hidden as birds' feet, is once more made beyond all question apparent. - If at least half of the harvest in any year is destroyed by accident, the lessee (a) in the case of a lease for several years, obtains, at the end of his lease, a refund of rent, by way of indemnity, unless he has been indemnified by preceding harvests; (b) in the case of a lease for a year only, may secure a
**proportional**abatement of the current rent. - The reason is that the heat produced in a given time in a wire is
**proportional**to the square of the strength of the current passing through it, and hence the rate at which the heat is produced in the wire, and therefore its temperature, increases much faster than the current itself increases. - Since the current passing through the balance when equilibrium is obtained with a given weight is
**proportional**to the square root of the couple due to this weight, it follows that the current strength when equilibrium is obtained is**proportional**to the product of the square root of the weight used and the square root of the displacement distance of this weight from its zero position. - We therefore have the fundamental theorem that the angular velocity of the body around the centre of attraction varies inversely as the square of its distance, and is therefore at every point
**proportional**to the gravitation of the sun. - The violence or completeness of combustion was
**proportional**to the amount of phlogiston present. - The oxychloride being precipitated; but if smaller quantities of water be added the decomposition is incomplete, and it is found that the extent to which decomposition takes place is
**proportional**to the quantity of water employed, the decomposition being incomplete, except in presence of large quantities of water, because of the occurrence of the reverse action BiOC1-1-2HC1= BiC13-{-02H. - 7V k / R, and since Vk is
**proportional**to the volume at absolute zero, the ratio T k /P k should exhibit additive relations. - It may he shown theoretically that the absolute boiling-point is
**proportional**to the molecular volume, and, since this property is additive, the boiling-point should also be additive. - In the migration of birds we are still uncertain asto the exact nature and
**proportional**value of the instinctive and intelligent factors. - Duties on profession (temettu) consist (a) of a fixed duty leviable at rates declared in a schedule forming part of the special law (Dec. 8, 1907) regulating the tax, and (b) of a
**proportional**duty at the rate of 3% on the value of buildings occupied by companies or individuals in the prosecution of their business; of 3% on salaries (subject to certain deductions) of employes of such companies and individuals; and on government contractors and revenue farmers, at the rate of 3% of 10% of the value of contracts filled and of revenues farmed. - Under the first head would be included
**proportional**taxes dependent upon the value of the property taxed; under the second, taxes whose amount does not depend upon that value. - He also found that, for the same current, the amount of chemical action was independent of the size of the electrodes and
**proportional**to the time that the current flowed. - Of all these experiments may be summed up in the statement that the amount of chemical action is
**proportional**to the quantity of electricity which passes through the cell. - Kohlrausch has prepared water of which the conductivity compared with that of mercury was only o 4 oX 11 at 18° C. Even here some little impurity was present, and the conductivity of chemically pure water was estimated by thermodynamic reasoning as o 36X1011 at 18° C. As we shall see later, the conductivity of very dilute salt solutions is
**proportional**to the concentration, so that it is probable that, in most cases, practically all the current is carried by the salt. - If we eliminate the reverse electromotive forces of polarization at the two electrodes, the conduction of electricity through electrolytes is found to conform to Ohm's law; that is, once the polarization is overcome, the current is
**proportional**to the electromotive force applied to the bulk of the liquid. - An explanation of the failure of the usual dilution law in these cases may be given if we remember that, while the electric forces between bodies like undissociated molecules, each associated with equal and opposite charges, will vary inversely as the fourth power of the distance, the forces between dissociated ions, each carrying one charge only, will be inversely
**proportional**to the square of the distance. - To pass a steady current in the direction opposite to this electromotive force of polarization, the applied electromotive force E must exceed that of polarization E', and the excess E - E' is the effective electromotive force of the circuit, the current being, in accordance with Ohm's law,
**proportional**to the applied electromotive force and represented by (E - E')/ R, where R is a constant called the resistance of the circuit. - On the analogy between this case and that of the interface between two solutions, Nernst has arrived at similar logarithmic expressions for the difference of potential, which becomes
**proportional**to log (P 1 /P 2) where P2 is taken to mean the osmotic pressure of the cations in the solution, and P i the osmotic pressure of the cations in the substance of the metal itself. - When induction or magnetic flux takes place in a ferromagnetic metal, the metal becomes magnetized, but the magnetization at any point is
**proportional**not to B, but to B - H. - For crystalline bodies the value of or -) is nearly always small and constant, the magnetization being therefore independent of the form of the body and
**proportional**to the force. - - The so-called " ballistic " method of measuring induction is based upon the fact that a change of the induction through a closed linear conductor sets up in the conductor an electromotive force which is
**proportional**to the rate of change. - Under the influence of the transient current, the galvanometer needle undergoes a momentary deflection, or " throw," which is
**proportional**to Q, and therefore to 8B, and thus, if we know the deflection produced by the discharge through the galvanometer of a given quantity of electricity, we have the means of determining the value of 8B. - The experiment may be made in two different ways: (I) the magnetizing current is increased by a series of sudden steps, each of which produces a ballistic throw, the value of B after any one throw being
**proportional**to the sum of that and all the previous throws; the magnetizing FIG. - This causes a ballistic throw
**proportional**to the induction through the bar at the moment when the two portions were separated. - The strength of the field is
**proportional**to the swing of the galvanometer-needle, and, when the galvanometer is calibrated, can be expressed in C.G.S. - Other conditions remaining unchanged, the force between two poles is
**proportional**to the product of their strengths; it is repulsive or attractive according as the signs of the poles are like or unlike. - If the covariant (f,4) 1 vanishes f and 4 are clearly
**proportional**, and if the second transvectant of (f, 4 5) 1 upon itself vanishes, f and 4) possess a common linear factor; and the condition is both necessary and sufficient. - Van 't Hoff's formula is equivalent to taking the frequency of dissociation as
**proportional**to the square of the concentration of the molecules, and the frequency of recombination as**proportional**to the cube of the concentration of the ions. - When there is no current the shutter covers the perforations and no light passes, but when a current traverses the wires they are depressed by electromagnetic action, carrying the shutter with them, and a quantity of light
**proportional**to the current strength is admitted through the perforations.