Relation sentence example

relation
  • We note here that though Ritschl gives Jesus a unique and unapproachable position in His active relation to the kingdom, he declines to rise above this relative teaching.
    38
    34
  • To her consternation she detected in herself in relation to little Nicholas some symptoms of her father's irritability.
    15
    12
  • The chief subjects of discussion were: the relations of faith and modern thought, the supply and training of the clergy, education, foreign missions, revision and "enrichment" of the Prayer-Book, the relation of the Church to "ministries of healing" (Christian Science, &c.), the questions of marriage and divorce, organization of the Anglican Church, reunion with other Churches.
    9
    7
  • The relation to the other sub-regions is slight.
    3
    1
  • This class will include the original relation itself.
    2
    0
    Advertisement
  • She is a relation of yours, Princess Mary Bolkonskaya.
    13
    11
  • "Tell me, my dear," said she to Natasha, "is Mimi a relation of yours?
    24
    22
  • "What relation are you to Intendant General Kiril Andreevich Denisov?" asked Kutuzov, interrupting him.
    12
    10
  • Not only was the paper money valueless which Napoleon so graciously distributed to the unfortunate, but even silver lost its value in relation to gold.
    10
    8
  • Undoubtedly some relation exists between all who live contemporaneously, and so it is possible to find some connection between the intellectual activity of men and their historical movements, just as such a connection may be found between the movements of humanity and commerce, handicraft, gardening, or anything else you please.
    8
    6
    Advertisement
  • Ritschl is so faithful to the standpoint of the religious community, that he has nothing definite to say on many inevitable questions, such as the relation of God to pagan races.
    8
    7
  • Our task is simply to furnish the general reader with an account of the types of instrumentation prevalent at various musical periods, and their relation to other branches of the art.
    13
    12
  • Two relations R and R' are said to be ordinally similar, if a one-one relation holds between the members of the two fields of R and R', such that if x and y are any two members of the field of R, such that x has the relation R to y, and if x' and y are the correlates in the field of R' of x and y, then in all such cases x has the relation R' to y', and conversely, interchanging the dashes on the letters, i.e.
    1
    0
  • The relation-number of a relation is the class whose members are all those relations which are ordinally similar to it.
    1
    0
  • The relation-number of a relation should be compared with the cardinal number of a class.
    1
    0
    Advertisement
  • When a relation is serial its relation-number is often called its serial type.
    1
    0
  • The definition of the ordinal number requires some little ingenuity owing to the fact that no serial relation can have a field whose cardinal number is 1; but we must omit here the explanation of the process.
    1
    0
  • Equally interesting are the relation of the Syro-Hittite with the Minoan, and we seem to find in certain objects found in Egypt and Cyprus and dating probably from the 14th to the Toth centuries, proof of the existence of a mixed art of Syrian origin, probably in Cilicia (Alashiya) at that time.
    0
    0
  • If m and n are finite cardinal numbers, the rational number m/n is the relation which any finite cardinal number x bears to any finite cardinal number y when n X x = m X y.
    0
    0
  • Thus the rational number one, which we will denote by ' r, is not the cardinal number I; for t r is the relation I/I as defined above, and is thus a relation holding between certain pairs of cardinals.
    0
    0
    Advertisement
  • If a is a real number, +a is defined to be the relation which any real number of the form x+a bears to the real number x, and - a is the relation which any real number x bears to the real number x+a.
    0
    0
  • Such a number is a "one-many" relation which relates n signed real numbers (or n algebraic complex numbers when they are already defined by this procedure) to the n cardinal numbers I, 2..
    0
    0
  • Hence the relation has been called above "one-many."
    0
    0
  • 3 All the contradictions can be avoided, and yet the use of classes and relations can be preserved as required by mathematics, and indeed by common sense, by a theory which denies to a class - or relation - existence or being in any sense in which the entities composing it - or related by it - exist.
    0
    0
  • The basis of the system adopted was the double standard with a fixed relation of I to 15.09, and free coinage.
    0
    0
    Advertisement
  • The history of his youth reveals no special predilection for the military service - the bent of his mind was political far more than military, but unlike the politicians of his epoch he consistently applied scientific and mathematical methods to his theories, and desired above all things a knowledge of facts in their true relation to one another.
    0
    0
  • It was the religious capital of all Islam, and the political capital of the greater part of it, at a time when Islam bore the same relation to civilization which Christendom does to-day.
    0
    0
  • Sometimes Clement discusses chronology, sometimes philosophy, sometimes poetry, entering into the most minute critical and chronological details; but one object runs through all, and this is to show what the true Christian Gnostic is, and what is his relation to philosophy.
    0
    0
  • Either of these will supply the names of works upon Clement's biblical text, his use of Stoic writers, his quotations from heathen writers, and his relation to heathen philosophy.
    0
    0
  • A book on Clement's relation to Mysticism is wanted.
    0
    0
    Advertisement
  • Leonardo certainly was in relation with some persons belonging to that circle when he published in 1220 another more extensive work, De practica geometriae, which he dedicated to the imperial astronomer Dominicus Hispanus.
    0
    0
  • As to the relation of the Anti-Atlas to the Atlas proper at its western end nothing certain is known.
    0
    0
  • Maw, explored the central part of the Great Atlas with the special object of investigating its flora and determining its relation to that of the mountains of Europe.
    0
    0
  • Upper Silurian, having a strong relation to the Wenlock group of Britain, but with an American facies, and Lower Silurian, with a succession much the same as in British North America, are found on the shores of Smith Sound, and Nathorst has discovered them in King Oscar Fjord, but not as yet so far south as the Danish possessions.
    0
    0
  • It thus stands in the closest relation to the rite of exorcism, of which it is the complement.
    0
    0
    Advertisement
  • The relation appeared, however, to be far more complicated than was at first supposed.
    0
    0
  • The orbits of earth and moon are elliptical, so that the earth is sometimes nearer, sometimes farther away from the sun, and the same is the case with the moon in relation to the earth.
    0
    0
  • Acting on this view, Faraday set himself to examine the relation between the flow of electricity round the circuit and the amount of chemical decomposition.
    0
    0
  • (2) As the concentration of the solutions increases, the ionization as measured electrically and the dissociation as measured osmotically might decrease more or less together, though, since the thermodynamic theory only holds when the solution is so dilute that the dissolved particles are beyond each other's sphere of action, there is much doubt whether this second relation is valid through any appreciable range of concentration.
    0
    0
  • We may take Arrhenius' first relation as established for the case of potassium chloride.
    0
    0
    Advertisement
  • The second relation, as we have seen, is not a strict consequence of theory, and experiments to examine it must be treated as an investigation of the limits within which solutions are dilute within the thermodynamic sense of the word, rather than as a test of the soundness of the theory.
    0
    0
  • The freezing point curve usually lies below the electrical one, but approaches it as dilution is increased.2 Returning once more to the consideration of the first relation, which deals with the comparison between the number of ions and the number of pressure-producing particles in dilute solution, one caution is necessary.
    0
    0
  • But the converse relation does not necessarily follow.
    0
    0
  • An interesting relation appears when the electrolytic conductivity of solutions is compared with their chemical activity.
    0
    0
  • Now a well-known relation connects the available energy of a reversible system with the corresponding change in its total internal energy.
    0
    0
    Advertisement
  • The earliest formulation of the subject, due to Lord Kelvin, assumed that this relation was true in all cases, and, calculated in this way, the electromotive force of Daniell's cell, which happens to possess a very small temperature coefficient, was found to agree with observation.
    0
    0
  • When the solutions may be taken as effectively dilute, so that the gas laws apply to the osmotic pressure, this relation reduces to E _ nrRT to c1 ey gE c2 where n is the number of ions given by one molecule of the salt, r the transport ratio of the anion, R the gas constant, T the absolute temperature, y the total valency of the anions obtained from one molecule, and c i and c 2 the concentrations of the two solutions.
    0
    0
  • There must, then, be a relation between the rate of change of the concentration and the osmotic pressure gradient, and thus we may consider the osmotic pressure gradient as a force driving the solute through a viscous medium.
    0
    0
  • Nietzsche's writings must be understood in their relation to these circumstances of his life, and as the outcome of a violent revolt against them on the part of an intensely emotional and nervous temperament.
    0
    0
  • A certain number of Hussites lead by Nicolas of Hus - no relation of John Huss - left Prague.
    0
    0
    Advertisement
  • Other connubial speculations foundered on the personal dislike of the princess for the various suitors proposed to her, so that on the death of her mother (May 1727) and the departure to Holstein of her beloved sister Anne, her only remaining near relation, the princess found herself at the age of eighteen practically her own mistress.
    0
    0
  • In support of their views they appealed to scripture and to the Western Fathers, who had used the term "adoption" as synonymous with "assumption" in the orthodox sense; and especially to Christ's fraternal relation to Christians - the brother of God's adopted sons.
    0
    0
  • Thus they did not teach a dual personality, nor the old Antiochene view that Christ's divine exaltation was due to his sinless virtue; they were less concerned with old disputes than with the problem as the Chalcedon decision had left it - the relation of Christ's one personality to his two natures.
    0
    0
  • This relation implies six equations.
    0
    0
  • 132, 03,�.� we start with the fundamental relation (1+alx+aly)(1+a2x +t2Y) (1+a3x +03y)...
    0
    0
  • In this notation the fundamental relation is written (l + a i x +01Y) (I + a 2x+l32Y) (1 + a3x+133y)...
    0
    0
  • One more relation is easily obtained, viz.
    0
    0
  • From the three equations ax = alxl+ a2x2, b.= blxl+b2x2, cx = clxi+c2x2, we find by eliminating x, and x 2 the relation a x (bc)+b x (ca) +c x (ab) =0.
    0
    0
  • -2 _ ab 2an-2bn-2Crz z x () x x x, Each term on the right-hand side may be shown by permutation of a, b, c to be the symbolical representation of the same covariant; they are equivalent symbolic products, and we may accordingly write 2(ac) (bc)ai -1 bi -1 cx 2 =(ab)2a:-2b:-2c:, a relation which shows that the form on the left is the product of the two covariants n (ab) ay 2 by 2 and cZ.
    0
    0
  • An instantaneous deduction from the relation w= 2 n0 is that forms of uneven orders possess only invariants of even degree in the coefficients.
    0
    0
  • These forms are connected by the relation 2Q2+ 3+Rf2=0.
    0
    0
  • The form j is completely defined by the relation (f,j) 3 =o as no other covariant possesses this property.
    0
    0
  • Hesse's canonical form shows at once that there cannot be more than two independent invariants; for if there were three we could, by elimination of the modulus of transformation, obtain two functions of the coefficients equal to functions of m, and thus, by elimination of m, obtain a relation between the coefficients, showing them not to be independent, which is contrary to the hypothesis.
    0
    0
  • The existence of such a relation, as 0-1+0-2+.,.+cr2=0, necessitates the vanishing of a certain function of the coefficients A2, A 3, ...A 9, and as a consequence one product of these coefficients can be eliminated from the expanding form and no seminvariant, which appears as a coefficient to such a product (which may be the whole or only a part of the complete product, with which the seminvariant is associated), will be capable of reduction.
    0
    0
  • This is the fundamental system; we may, if we choose, replace (ab) 2 by ab =a, 2, +2a1+a2 since the identity a a b b - a, = (ab) 2 shows the syzygetic relation (74+a 2) 2 - (ao +2a +�2) = 2(aoa2 - ai).
    0
    0
  • His publications included: Relation des epidemies de cholera qui ont regne a l'Heggiaz, d Suez, Egypte (1832); De to peste observee en Egypte (1840); A perru general sur l'Egypte (1840); Coup d'ceil sur la peste et les quarantaines (1851); De l'ophthalmie (1864).
    0
    0
  • The determination of the true relation between the length of a pendulum and the time of its oscillation; the invention of the theory of evolutes; the discovery, hence ensuing, that the cycloid is its own evolute, and is strictly isochronous; the ingenious although practically inoperative idea of correcting the "circular error" of the pendulum by applying cycloidal cheeks to clocks - were all contained in this remarkable treatise.
    0
    0
  • For this reason their interest in ethical speculations was all the keener; their great thinkers were endlessly engaged in settling what the relation ought to be between duty and self-interest.
    0
    0
  • For if we inquire into this causal relation we find that though we know isolated facts, we cannot perceive any such connexion between them as that the one should give rise to the other.
    0
    0
  • It is popularly used of a relation between persons amounting to more than goodwill or friendship. By ethical writers the word has been used generally of distinct states of feeling, both lasting and spasmodic; some contrast it with "passion" as being free from the distinctively sensual element.
    0
    0
  • More specifically the word has been restricted to emotional states which are in relation to persons.
    0
    0
  • For the relation of this inequality to the solar parallax see Moon.
    0
    0
  • When therefore sensible uniformity is desired, the radius of the ring should he large in relation to that of the convolutions, or the ring should have the form of a short cylinder with thin walls.
    0
    0
  • The magnetic susceptibility expresses the numerical relation of the magnetization to the magnetizing force.
    0
    0
  • Thus it happens that there is no definite relation between the magnetization of a piece of metal which has been previously magnetized and the strength of the field in which it is placed.
    0
    0
  • When the ellipsoid is so much elongated that I is negligible in relation to m'-, the expression approximates to the simpler form N=412 (log 201-I).
    0
    0
  • Since the induction B is equal to H 47rI, it is easy from the results of experiments such as that just described to deduce the relation between B and H; a curve indicating such relation is called a curve of induction.
    0
    0
  • The ballistic method is largely employed for determining the relation of induction to magnetizing force in samples of the iron and steel used in the manufacture of electrical machinery, and especially for the observation of hysteresis effects.
    0
    0
  • The distinguishing feature of the first is the steepness of its outlines; this indicates that the induction increases rapidly in relation to the magnetic force, and hence the metal is well suited for the construction of dynamo magnets.
    0
    0
  • Ii shows the relation of B to H in a specimen which has never before been magnetized.
    0
    0
  • Curves of magnetization (which express the relation of I to H) have a close resemblance to those of induction; and, indeed, since B = H+47r1, and 47rI (except in extreme fields) greatly exceeds H in numerical value, we may generally, without serious error, put I = B /47r, and transform curves of induction into curves of magnetization by merely altering the scale to which the ordinates are referred.
    0
    0
  • Du Bois's results, which, as given in his papers, show the relation of H to the magnetic moment per unit of mass, have been reduced by Ewing to the usual form, and are indicated in fig.
    0
    0
  • When the saturation value of I has been reached, the relation of magnetic induction to magnetic force may be expressed by B = H +constant.
    0
    0
  • Thomson (Applications of Dynamics to Physics and Chemistry, 47) that on dynamical principles there must be a reciprocal relation between the changes of dimensions produced by magnetization and the changes of magnetization attending mechanical strain.
    0
    0
  • The wire is subject to two superposed magnetizations, the one longitudinal, the other circular, due to the current traversing the wire; the resultant magnetization is consequently in the direction of a screw or spiral round the wire, which will be right-handed or left-handed according as the relation between the two magnetizations is right-handed or left-handed; the magnetic expansion or contraction of the metal along the spiral lines of magnetization produces the Wiedemann twist.
    0
    0
  • Specimens of curves showing the relation of induction to magnetic field at various temperatures, and of permeability to temperature with fields of different intensities, are given in figs.
    0
    0
  • Other experiments showed the relation of resistance to temperature (from o° to about 90°) in different constant fields.
    0
    0
  • 29 shows the variations of resistance in relation to temperature for fields of different constant values.
    0
    0
  • The curves given by Houllevigue for the relation of thermo-electric force to magnetic field are of the same general form as those showing the relation of change of length to field.
    0
    0
  • In the case of cobalt no such relation could be traced; it appeared that the thermo-electric power of the unmagnetized with respect.
    0
    0
  • The magnetic properties of the metal at different temperatures and in fields up to 1350 units have been studied by P. Curie (loc. cit.), who found that its " specific susceptibility " (K) was independent of the strength of the field, but decreased with rise of temperature up to the melting-point, 273° C. His results appear to show the relation - K X10 6 = I'381 - O'o0155t°.
    0
    0
  • Thus a relation between susceptibility and atomic weight is clearly indicated.
    0
    0
  • Another was the magnetic rotation of the plane of polarization of light, which was effected in 1845, and for the first time established a relation between light and magnetism.
    0
    0
  • It seems that there is a primitive tendency in the Arthropoda for the arteries to accompany the nerve cords, and a " supra-spinal " artery - that is to say, an artery in close relation to the ventral nerve cords--has been described in several cases.
    0
    0
  • Scorpio certainly comes nearer to Limulus in the high development of its arterial system, and the intimate relation of the anterior aorta and its branches to the nerve centres and great nerves, than does any other Arthropod.
    0
    0
  • The Pantopoda stand in the same relation to Limulus and Scorpio that Cyamus holds to the thoracostracous Crustacea.
    0
    0
  • Recently Schubert has sought to derive the elements which are found in the Petrine Gospel, but not in the canonical gospels, from the original Ada Pilati, while Zahn exactly reverses the relation of these two works.
    0
    0
  • It is difficult to determine the relation of the so-called Latin Actus Vercellenses (which there are good grounds for assuming were originally called the IIpa cts IIirpov) with the Acts of John and Paul.
    0
    0
  • According to his view, all mountain ranges parallel to the same great circle of the earth are of strictly contemporaneous origin, and between the great circles a relation of symmetry exists in the form of a pentagonal reseau.
    0
    0
  • There is a close relation between the pollination of many yuccas and the life of a moth (Pronuba yuccasella); the flowers are open and scented at night when the female moth becomes active, first collecting a load of pollen and then depositing her eggs, generally in a different flower from that which has supplied the pollen.
    0
    0
  • Its starting-point was a dispute with Melanchthon in 1527 as to the relation between repentance and faith.
    0
    0
  • With regard to birds and land shells the relation is much closer to the Comoros species, and the latter, of which I have collected seven species besides Rachis aldabrae, may serve to point out more than the birds the land connexion of Aldabra with the neighbouring countries."
    0
    0
  • " Political differences " on the other hand, are such as affect states in their external relations, or in relation to their subjects or dependants who may be in revolt against them.
    0
    0
  • It may be that, just as the usages of civilized nations have slowly crystallized into international law, so there may come a time when the political principles that govern states in relation to each other will be so clearly defined and so generally accepted as to acquire something of a legal or quasi-legal character.
    0
    0
  • Its communities were bound together by a sense of close fraternal relation.
    0
    0
  • The relation of reason and faith remains external, and certain doctrines - an increasing number as times goes on - are withdrawn from the sphere of reason.
    0
    0
  • But, although the relation of reason to an external authority thus constitutes the badge of medieval thought, it would be unjust to look upon Scholasticism as philosophically barren, and to speak as if reason, after an interregnum of a thousand years, resumed its rights at the Renaissance.
    0
    0
  • This pure individualism, consistently interpreted, involves the denial of all real relation whatsoever; for things are related and classified by means of their general characteristics.
    0
    0
  • In the Persons of the Trinity, on the other hand the relation is one of absolute identity.
    0
    0
  • His system is conditioned throughout by its relation to that of Aquinas, of which it is in effect an elaborate criticism.
    0
    0
  • At a time when everything depended on the army, they had destroyed the main tie which bound the Austrian court to their interests by tampering with the relation of the Hungarian army to the crown.
    0
    0
  • Bodin showed a more rational appreciation than many of his contemporaries of the causes of this revolution, and the relation of the variations in money to the market values of wares in general as well as to the wages of labour.
    0
    0
  • The main work of Descartes, so far as algebra was concerned, was the establishment of a relation between arithmetical and geometrical measurement.
    0
    0
  • The important thing to notice is that where, in any of these five cases, one statement is followed by another, the second is not to be regarded as obtained from the first by logical reasoning involving such general axioms as that " if equals are taken from equals the remainders are equal "; the fact being that the two statements are merely different ways of expressing the same relation.
    0
    0
  • It is part of the general theory of quantitative relation, and in its elementary stages is a suitable subject for graphical treatment (� 31).
    0
    0
  • We start with related facts, and adopt a particular method of visualizing the relation.
    0
    0
  • Another useful set of graphs comprises those which give the relation between the expressions of a length, volume, &c., on different systems of measurement.
    0
    0
  • In relation to algebra, the graphic method is mainly useful in connexion with the theory of limits (�� 58, 61) and the functional treatment of equations (� 60).
    0
    0
  • (v.) The further extension to fractional values (positive or negative) of n depends in the first instance on the establishment of a method of algebraical evolution which bears the same relation to arithmetical evolution (calculation of a surd) that algebraical division bears to arithmetical division.
    0
    0
  • The relation, when written in the form (23), is known as Vandermonde's theorem.
    0
    0
  • Simultaneous equations in two unknowns x and y may be treated in the same way, except that each equation gives a functional relation between x and y.
    0
    0
  • A solution was also given by Fermat in his Relation.
    0
    0
  • As a unity Gandharva has no special attributes but many duties, and is in close relation with the great I gods.
    0
    0
  • Outside the scientific world an immense mass of observation and experiment had grown up in relation to this subject.
    0
    0
  • In consequence of this excess of births there is a struggle for existence and a survival of the fittest, and consequently an ever-present necessarily acting selection, which either maintains accurately the form of the species from generation to generation or leads to its modification in correspondence with changes in the surrounding circumstances which have relation to its fitness for success in the struggle for life.
    0
    0
  • The immediate result was, as pointed out above, a reconstruction of the classification of animals upon a genealogical basis, and an investigation of the individual development of animals in relation to the steps of their gradual building up by cell-division, with a view to obtaining evidence of their genetic relationships.
    0
    0
  • When light passes through a small circular or annular aperture, the illumination at any point along the axis depends upon the precise relation between the aperture and the distance from it at which the point is taken.
    0
    0
  • If A' be the area over which the intensity must be Io in order to give the actual total intensity in accordance with A'102 =ff + 12d4dn, the relation between A and A' is AA' = X 2 f 2 .
    0
    0
  • If, however, the half-covered aperture be in front of the object-glass, the phenomenon is magnified as a whole, and the desirable relation between the (unmagnified) dispersion and the aperture is the same as without the telescope.
    0
    0
  • Since the angles of incidence and refraction are connected by the relation sin i=µ sin r (Snell's Law), µ being the index of refraction of the medium, then the problem may be stated as follows: to determine the value of the angle i which makes D = 2 (i - r) +n (7r - 2r) a maximum or minimum, in which i and r are connected by the relation sin i =µ sin r, µ being a constant.
    0
    0
  • In 1686 his famous allegory of Rome and Geneva, slightly disguised as the rival princesses Mreo and Eenegu, in the Relation de file de Borneo, gave proof of his daring in religious matters.
    0
    0
  • His art has no relation to his own time or to the country in which he lived.
    0
    0
  • Ennius, Pacuvius, Accius and Lucilius is their relation to the national and moral spirit of the age in which they were written.
    0
    0
  • - Granulauun tissue showing the character and relation of the cellular elements to the new blood-vessels in the young temporary tissue.
    0
    0
  • The special interest of Map lies in the perplexing question of his relation to the Arthurian legend and literature.
    0
    0
  • In preserving the public health, the medical profession is again brought into direct relation with the state, through the public medical officers.
    0
    0
  • That philosopher and several of his successors were physicians, but we do not know in what relation they stood to later medical schools.
    0
    0
  • The work on diseases of women is the only complete work on that subject which has come down to us from antiquity, and shows remarkable fullness of practical knowledge in relation to its subject.
    0
    0
  • Galen was a man furnished with all the anatomical, medical and philosophical knowledge of his time; he had studied all kinds of natural curiosities, and had stood in near relation to important political events; he possessed enormous industry, great practical sagacity and unbounded literary fluency.
    0
    0
  • The so-called iatro-chemical school stood in a much closer relation to practical medicine than the iatrophysical.
    0
    0
  • All phenomena, moral as well as material, are contemplated by him in their relation to one great organic whole, which he acknowledges under the name of "Natura daedala rerum," and the most beneficent manifestations of which he seems to symbolize and almost to deify in the "Alma Venus," whom, in apparent contradiction to his denial of a divine interference with human affairs, he invokes with prayer in the opening lines of the poem.
    0
    0
  • Some, however, as well as other natural features effaced by the growth of the city, retain an historical interest through the survival of their names in streets and districts, or through their relation to the original site of London (in the present City).
    0
    0
  • This explains the position of Middlesex in relation to London.
    0
    0
  • Nor can the relation of master and pupil be certainly inferred from the superscription quoted (observe the omission of any article), which really asserts no more than that Hero re-edited an earlier treatise by Ctesibius, and implies nothing about his being an immediate predecessor.
    0
    0
  • In the same way glass can be rendered more or less fusible, and its stability can be increased both in relation to extremes of temperature and to the chemical action of solvents.
    0
    0
  • On the other hand, while in the older crown and flint glasses the relation between refraction and dispersion had been practically fixed, dispersion and refraction increasing regularly with the density of the glass, in some of the new glasses introduced by Abbe and Schott this relation is altered and a relatively low refractive index is accompanied by a relatively high dispersion, while in others a high refractive index is associated with low dispersive power.
    0
    0
  • In 1847 he was made tutor of his college, and in 1853 he delivered the Bampton lectures, his subject being "The Atoning Work of Christ viewed in Relation to some Ancient Theories."
    0
    0
  • But by Green's transformation f flpdS = f f PPdxdydz, (2) thus leading to the differential relation at every point = dy dp The three equations of equilibrium obtained by taking moments round the axes are then found to be satisfied identically.
    0
    0
  • With variation of temperature, the surfaces of equal pressure and density need not coincide; but, taking the pressure, density and temperature as connected by some relation,such as the gas-equation, the surfaces of equal density and temperature must intersect in lines lying on a surface of equal pressure.
    0
    0
  • In the absolute path in space cos Ili = (2 - 3 sin 2 6)/1/ (4-sin 2 6), and sin 3 B = (y 3 -c 2 y)/a 3, (19) which leads to no simple relation.
    0
    0
  • Expressed as a differential relation, with the value of c-TKL ai,G+2 (a 2 +A) a d ?
    0
    0
  • One of these is the so-called " Synchronous History of Assyria and Babylonia," consisting of brief notices, written by an Assyrian, of the occasions on which the kings of the two countries had entered into relation, hostile or otherwise, with one another; a second is the Babylonian Chronicle discovered by Dr Th.
    0
    0
  • True and Exact Relation of both the Battles fought by.
    0
    0
  • He also pointedly alludes to John's work and the people's relation to it, in many sayings and parables (sometimes in a tone of irony).
    0
    0
  • Ruff effects the same change by oxidizing the sugar to the oxy-acid, ' See Fermentation; and for the relation of this property to structure see Stereoisomerism.
    0
    0
  • If the configuration of d-saccharic acid were given by either 6 or To, bearing in mind the relation of mannose to glucose, it would then be necessary to represent d-mannosaccharic acid by either 7 or 8 - as the forms 6 and Io pass into 7 and 8 on changing the sign of a terminal group; but this cannot be done as mannosaccharic acid is optically active.
    0
    0
  • Lastly, when d-galactonic acid is heated with pyridine, it is converted into talonic acid, which is reducible to talose, an isomeride bearing to galactose the same relation that mannose bears to glucose.
    0
    0
  • Certain others are referred to in relation with the important radicle contained in the salt.
    0
    0
  • In the days of the decaying empire and of the chaotic German settlement, the weak freeman, the small landowner, was exposed to attack in almost every relation of life and on every side.
    0
    0
  • There are thus distinguished at the beginning those two great sides of feudalism which remained to the end of its history more or less distinct, the personal relation and the land relation.
    0
    0
  • The owner could call in his land and terminate the relation at any time, for any reason, or for none at all.
    0
    0
  • The same class continued to furnish the king's men, and to form his household and body-guard whether the relation was that of the patrocinium or the comitatus, and to be made noble by entering into it.
    0
    0
  • Grants of land of the Merovingian kings had carried with them ownership and not a limited right, and the king's patrocinium had not widened in extent in the direction of the later vassal relation.
    0
    0
  • Itcompleted the transformation of the army into a vassal army; it completed the recognition of feudalism by the state, as a legitimate relation between different ranks of the people; and it recognized the transformation in a great number of cases of a public duty into a private obligation.
    0
    0
  • The chief of these are the following: the relation of vassal and lord; the principle that every holder of land is a tenant and not an owner, until the highest rank is reached, sometimes even the conception rules in that rank; that the tenure by which a thing of value is held is one of honourable service, not intended to be economic, but moral and political in character; the principle of mutual obligations of loyalty, protection and service binding together all the ranks of this society from the highest to the lowest; and the principle of contract between lord and tenant, as determining all rights, controlling their modification, and forming the foundation of all law.
    0
    0
  • So long as they were fulfilled, he, and his heir after him, held the fief as his property, practically and in relation to all under tenants as if precarium and patrocinium were lacking.
    0
    0
  • They did not have their origin in economic considerations, but were either intended to mark the vassal's tenant relation, like the relief, or to be a part of his service, like the aid, that is, he was held to come to the aid of his lord in a case of financial as of military necessity.
    0
    0
  • Hence he is spoken of with respect in the Clementines; while Paul, as a radical in relation to the Law, is discountenanced.
    0
    0
  • The kingdom of Hira was never really independent, but always stood in a relation of dependence on Persia, probably receiving pay from it and employing Persian soldiers.
    0
    0
  • Shortly after it came into relation with Islam.
    0
    0
  • K They seem to have stood in much the same relation to the rulers of Yemen, as the people of Hira to the Persians and the Ghassanids to Rome.
    0
    0
  • Diamines.-The diamines contain two amino groups and bear the same relation to the glycols that the primary monamines bear to the primary alcohols.
    0
    0
  • The simplest experience - a single note struck upon the piano - would not be what it is to us but for its relation by contrast or comparison with other experiences.
    0
    0
  • This is true; but we may easily exaggerate it into a falsehood by saying that a piece of experience is entirely constituted by its relation to other experiences.
    0
    0
  • Of the tribal distribution of this race, of its linguistic, social and political characteristics, and of the history of its relation to the other peoples of Spain, we have only the most general, fragmentary and contradictory accounts.
    0
    0
  • The relation here indicated between the Shepherd's instruction and the initial message of one definitive repentance, open to those believers who have already "broken" their "seal" of baptism by deadly sins, as announced in Visions i.-iv.
    0
    0
  • The technology of distillation is best studied in relation to the several industries in which it is employed; reference should be made to the articles COAL-TAR, GAS, PETROLEUM, SPIRITS, NITRIC ACID, &c. (C. E.*)
    0
    0
  • Like Mach, he started from the principle of economy of thinking, and in the Kritik endeavoured to explain pure experience in relation to knowledge and environment.
    0
    0
  • - Ectoparasitic Trematodes, in which a large posterior adhesive apparatus is present and is usually accompanied by a pair of suckers placed anteriorly in relation to the mouth.
    0
    0
  • There he had William Cullen bor his instructor in chemistry, and the relation between the two soon became that of professor and assistant rather than of master and pupil.
    0
    0
  • They occur in particular in relation with the orifice of the zooecium, and with that of the compensation-sac. This delicate structure is frequently guarded by an avicularium at its entrance, while avicularia are also commonly found on either side of the operculum or in other positions close to that structure.
    0
    0
  • The vestibule breaks through to the exterior, and the tentacles, which have been developed within it, are brought into relation with the external water.
    0
    0
  • In the Positive state, inherent volition or external volition and inherent force or abstraction personified have both disappeared from men's minds, and the explanation of a phenomenon means a reference of it, by way of succession or resemblance, to some other phenomenon, - means the establishment of a relation between the given fact and some more general fact.
    0
    0
  • Comte's special object is a study of social physics, a science that before his advent was still to be formed; his second object is a review of the methods and leading generalities of all the positive sciences already formed, so that we may know both what system of inquiry to follow in our new science, and also where the new science will stand in relation to other knowledge.
    0
    0
  • The elaboration of these ideas in relation to the history of the civilization of the most advanced portion of the human race occupies two of the volumes of the Positive Philosophy, and has been accepted by very different schools as a masterpiece of rich, luminous, and far-reaching suggestion.
    0
    0
  • As he recedes from us, however, we begin to see that he has a much closer relation to the great Georgian writers than we used to be willing to admit.
    0
    0
  • This same idea of necessary relation to national character and circumstance is also applied to dramatic poetry, and more especially to Shakespeare.
    0
    0
  • The writer does not make that use of the fact of man's superior organic endowments which one might expect from his general conception of the relation of the physical and the mental in human development.
    0
    0
  • In opposition to the general spirit of the 18th century he saw, by means of his historic sense, the naturalness of religion, its relation to man's wants and impulses.
    0
    0
  • The God of Judaism and Christianity is essentially a person in close personal relation to his creatures; emanation is the denial of personality both for God and for man.
    0
    0
  • He conceived it as " a religious monopoly " to which " the nation at large contributes," while " Presbyterians alone receive," and which placed him in " a relation to the state " so " seriously objectionable " as to be " impossible to hold."5 The invidious distinction it drew between Presbyterians on the one hand, and Catholics, Friends, freethinking Christians, unbelievers and Jews on the other, who were compelled to support a ministry they " conscientiously disapproved," offended his always delicate conscience; while possibly the intellectual and ecclesiastical atmosphere of the city proved uncongenial to his liberal magnanimity.
    0
    0
  • The rise of evolution, and the new scientific way of looking at nature and her creative methods, compelled him to rethink and reformulate his theistic principles and conclusions, especially as to the forms under which the relation of God to the world and His action within it could be conceived.
    0
    0
  • It was not possible, however, that the theistic idea could be discussed in relation to nature only.
    0
    0
  • In 1734 he also published Prodromus philosophiae ratiocinantis de infinito et causa finali creationis, which treats of the relation of the finite to the infinite, and of the soul to the body, seeking to establish a nexus in each case as a means of overcoming the difficulty of their relation.
    0
    0
  • In 1901, Professor Max Neuberger of Vienna called attention to certain anticipations of modern views made by Swedenborg in relation to the functions of the brain.
    0
    0
  • Neither by geometrical, nor physical, nor metaphysical principles had he succeeded in reaching and grasping the infinite and the spiritual, or in elucidating their relation to man and man's organism, though he had caught glimpses of facts and methods which he thought only required confirmation and development.
    0
    0
  • "All religion," he said, "has relation to life, and the life of religion is to do good."
    0
    0
  • And the attention of modern psychologists is now being drawn to his doctrine of the relation of the elements of the universe to the membranes of the body.
    0
    0
  • They appear to be connected with Semitic sun-worship, and are assigned by Bent to the same period as the temple at Baalbek, though some antiquarians would place them much earlier; the representation of a castle in a single stone seems to bear some relation to the idea worked out in the monolith churches of Lalibela described byRaffray.
    0
    0
  • Ramus also set the modern fashion of deducing the figures from the position of the middle term in the premises, instead of basing them, as Aristotle does, upon the different relation of the middle to the so-called major and minor term.
    0
    0
  • The first difficulty was to make it sufficiently light in relation to the power its machinery could develop; and several machines were built in which trials were made of steam, and of compressed air and carbonic acid gas as motive agents.
    0
    0
  • In 1706 appeared the True Relation of the Apparition of one Mrs Veal, long supposed to have been written for a bookseller to help off an unsaleable translation of Drelincourt, On Death, but considerable doubt has been cast upon this by William Lee.
    0
    0
  • How was the relation of the humanity to the divinity in Christ to be conceived?
    0
    0
  • The double election to the German throne in 141 o first brought Frederick into relation with Brandenburg.
    0
    0
  • The exact relation of the Eupatridae to the other two classes has been a matter of dispute.
    0
    0
  • The integuments of the head are divided into non-imbricate shields or plates, symmetrically arranged, but not corresponding in size or shape with the underlying cranial bones or having any relation to them.
    0
    0
  • The importance is now widely recognized of considering the mechanical properties of alloys in connexion with the freezing-point curves to which reference has already been made, but the subject is a very complicated one, and all that need be said here, is that when considered in relation to their meltingpoints the pure metals are consistently weaker than alloys.
    0
    0
  • The result was, however, extremely bad for the allies, whose status in the league necessarily became lower in relation to that of Athens, while at the same time their military and naval resources correspondingly diminished.
    0
    0
  • (2) Who were the Dorian invaders, and in what relation did they stand to the rest of the population of Greece?
    0
    0
  • But this simple relation is only true of the net balances of heat and work in a complete cyclical process, which must be adopted for theoretical purposes if we wish to eliminate the unknown changes of intrinsic energy.
    0
    0
  • The significance of relation (I) is best appreciated by considering the graphic representation of quantities of heat and energy on a work-diagram.
    0
    0
  • This is mathematically expressed by the statement that dE is an exact differential of a function of the co-ordinates defining the state of the body, which can be integrated between limits without reference to the relation representing the path along which the variations are taken.
    0
    0
  • Substituting these symbols in the expression for the area, the relation becomes H=o(p' - p„)(v„_v')/(o' - o").
    0
    0
  • (3) This relation may be interpreted in two ways, according as we require the heat absorbed in terms of the change of pressure or volume.
    0
    0
  • Substituting for H its value from (3), and employing the notation of the calculus, we obtain the relation S - s =0 (dp /do) (dv/do),.
    0
    0
  • The value of the specific heat s at constant volume can also be measured in a few cases, but it is generally necessary to deduce it from that at constant pressure, by means of relation (6).
    0
    0
  • It is often impossible to observe the pressure-coefficient dp/de directly, but it may be deduced from the isothermal compressibility by means of the geometrically obvious relation, BE = (BEÆC) XEC. The ratio BEÆC of the diminution of pressure to the increase of volume at constant temperature, or - dp/dv, is readily observed.
    0
    0
  • For a finite change it is necessary to represent the path by a series of small steps, which is the graphic equivalent of integration along the path represented by the given relation between v and 0, or p and 0.
    0
    0
  • We thus obtain the relation ds/dv(o const) =od 2 p/d0 2 (v const),.
    0
    0
  • This may be interpreted as the equation of the border curve giving the relation between p and 0, but is more easily obtained by considering the equilibrium at constant pressure instead of constant volume.
    0
    0
  • Assuming the function G to be expressed in terms of p and 0, this condition represents the relation between p and 0 corresponding to equilibrium between the two states, which is the solution of the relation (v" - v')dp/dO=L/D, (5).
    0
    0
  • In view of these conditions, the prophet's message is to reassert the true relation of Israel to Yahweh, and to call for a corresponding holiness, especially in regard to questions of ritual and of marriage.
    0
    0
  • Nor are the numina, not being anthropomorphic, capable of relation XXIII.
    0
    0
  • But the practical mind of the Roman gives this relation a legal turn: the ius sacrum, which regulates the dealings of men with the divine powers, is an inseparable part of ius publicum, the body of civil law, and the various acts of worship, prayer and thanksgiving are conceived of under the legal aspect of a contract.
    0
    0
  • This conception of the nature of the numina and man's relation to them is the root notion of the old Roman religion, and the fully-formed state cult of the di indigetes even at the earliest historical period, must have been the result of long and gradual development, of which we can to a certain extent trace the stages.
    0
    0
  • Organization showed itself in the fixing of the annual calendar and the development of the character and functions of the priesthood, and as we should expect, in a new conception of the legal relation of the gods to the state.
    0
    0
  • The relation of the gold to the potassium bromide, as well as the amounts of silver and silver bromide which are equivalent to the potassium bromide, were determined.
    0
    0
  • In this article an account will be given of the general significance of Montanism in relation to the history of the Church in the 2nd century, followed by a sketch of its origin, development and decline.
    0
    0
  • Tertullian exhausted the resources of dialectic in the endeavour to define and vindicate the relation of the spiritualists to the "psychic" Christians; but no one will say he has succeeded in clearing the Montanistic position of its fundamental inconsistency.
    0
    0
  • It was a very important experience in relation to his life-work.
    0
    0
  • 1 While all critics agree in tracing back this form to the earliest years of the 2nd century, and regard it as the archetype of all similar Western creeds, there is great diversity of opinion on its relation to Eastern forms. Kattenbusch maintains that the Roman Creed reached Gaul and Africa in the course of the 2nd century, and perhaps all districts of the West that possessed Christian congregations, also the western end of Asia Minor possibly in connexion with Polycarp's visit to Rome A.D.
    0
    0
  • His reconstruction of the creed of Aphraates is interesting in relation to the other traces of a Syriac creed form existing prior to the 4th century.
    0
    0
  • We cannot ask to be as if through nineteen centuries no one had ever asked a question about the relation of the Lord Jesus Christ to the Father and the Holy Spirit.
    0
    0
  • Again, the relation between logic in its widest sense and the theory of knowledge is extremely close.
    0
    0
  • If this appearance be not fallacious, the obvious relation between the two superscriptions will be best explained by the supposition that the author of Jude gave currency to the existing homily (James) before composing under the pseudonym of Jude.
    0
    0
  • Sieffert, on account of the superscription, would date as early as 70-80, but acknowledges the hyper-Pauline affinity of the heresy, its propagation as a doctrine, and close relation to the Nicolaitan of Rev. ii.
    0
    0
  • According to this method of dating the years a new era commences with every reign; and the year corresponding to a Chinese date can only be found when we have before us a catalogue of the Nien-hao, with their relation to the years of our era.
    0
    0
  • Among these were the exponential calculus, and the curve called by him the linea brachistochrona, or line of swiftest descent, which he was the first to determine, pointing out at the same time the relation which this curve bears to the path described by a ray of light passing through strata of variable density.
    0
    0
  • In later memoirs Reynolds followed up this subject by proceeding to establish definitions of the velocity and the momentum and the energy at an element of volume of the molecular medium, with the precision necessary in order that the dynamical equations of the medium in bulk, based in the usual manner on these quantities alone, without directly considering thermal stresses, shall be strictly valid - a discussion in which the relation of ordinary molar mechanics to the more complete molecular theory is involved.
    0
    0
  • On the other hand in the Diplarthra, the tcl group to which the vast majority of modern Ungulates A i n belong, the second or lower row has been shifted altogether towards the inner side of the limb, so that the magnum is brought considerably into relation with the scaphoid, and is entirely removed from the cuneiform, as in most existing mammals.
    0
    0
  • In expressing the absolute or relative density of any substance, it is necessary to specify the conditions for which the relation holds: in the case of gases, the temperature and pressure of the experimental gas (and of the standard, in the case of relative density); and in the case of solids and liquids, the temperature.
    0
    0
  • It is chiefly known from the causal relation of one of its species of the most serious of vine-diseases.
    0
    0
  • 3 Nehemiah's attitude towards intermarriage is markedly moderate in contrast to the drastic measures of Ezra, whose mission and work the simpler and perhaps earlier narratives of Nehemiah originally ignored, and the relation between the two is complicated further by the literary character of the memoir of Ezra.
    0
    0
  • 38 is very obscure, and the relation to Ezr.
    0
    0
  • (Cyrus); the reverse seems more probable, and the possibility of some confusion or of an intentional adjustment to the earlier date is emphasized by the relation between the popular feeling in Ezr.
    0
    0
  • This construction would give all the advantage of the younger Dollond's object-glass micrometer, and more than its sharpness of definition, without liability to the systematic errors which may be due to want of homogeneity of the object-glass; for the lenses will not be turned with respect to each other, but, in measurement, will always have the same relation in position angle to the line joining the objects under observation.
    0
    0
  • He is not a person of much importance in history except in relation to a strange theory raised in a later age about his birth, which we shall notice presently.
    0
    0
  • It might be supposed that all possible methods had now been considered, and that a combination of the three methods which have established their validity in relation to the interpretation of the Apocalypse would be adequate to the solution of all the problems of the book, but this is not so; for even when each in turn has vindicated the provinces in the book that rightly belong to it, and brought intelligibility into these areas, there still remain outlying regions which they fail to illumine.
    0
    0
  • Sorensen, carried out a careful investigation of the relation between the amount of chlorine, the total salinity and the specific gravity of sea-water of different strengths including an entirely new determination of the thermal expansion of sea-water.
    0
    0
  • Further Physical Properties of Sea-water.---The laws of physical chemistry relating to complex dilute solutions apply to seawater, and hence there is a definite relation between the osmotic pressure, freezing-point, vapour tension and boiling-point by which when one of these constants is given the others can be calculated.
    0
    0
  • The relation of the elevation of the boiling-point (t°) to the osmotic pressure (P) is very simply derived from the formula t=o 02407P 0, while the reduction of vapour pressure proportional to the concentration can be very easily obtained from the elevation of the boiling-point, or it may be obtained directly from tables of vapour tension.
    0
    0
  • Sarasin and longer series of experiments by Tornde and Kriimmel this relation is shown to be so close that the salinity of a sample can be ascertained by determining the index of refraction.
    0
    0
  • Fox, of the Central Laboratory of the International Council at Christiania, has investigated the relation of the atmospheric gases to sea-water by very exact experimental methods and arrived at the following expressions for the absorption of oxygen and nitrogen by sea-water of different degrees of concentration.
    0
    0
  • As the amount of ash varies very considerably in different coals, and stands in no relation to the proportion of the other constituents, it is necessary in forming a chemical classification to compute the results of analysis after deduction of the ash and hygroscopic water.
    0
    0
  • Although his kingdom was nominally independent of Carthage, it really stood to it in a relation of vassalage; it was directly under Carthaginian influences, and was imbued to a very considerable extent with Carthaginian civilization.
    0
    0
  • 3, 4, (b) in the letter to Victor, where Irenaeus gives an account of Polycarp's visit to Rome, (c) in the letter to Florinus - a most important document which describes the intercourse between Irenaeus and Polycarp and Polycarp's relation with St John.
    0
    0
  • The fact too that he never shows any signs of having been influenced by Polycarp and never once quotes his writings is a further proof that the relation between them was slight.
    0
    0
  • Structurally it would seem to have some relation to the siskins (Chrysomitris), though the members of the two groups have very different habits, and perhaps its nearest kinship lies with the hawfinches (Coccothraustes).
    0
    0
  • For many kinds of spring the change of form is practically proportional to the force, but the relation should always be determined experimentally.
    0
    0
  • The relation between the two should in all cases be found experimentally.
    0
    0
  • At Schulpforta he had read with delight Lessing's Anti-Goeze, and during his Jena days had studied the relation between philosophy and religion.
    0
    0
  • This equation is found experimentally to be capable of representing the relation between p, v, and T over large ranges of values.
    0
    0
  • He dealt with (a) human life as explained by the relative nature of Man and God, (b) the Divine nature and the existence of God, and, (c) the great Logos doctrine as the explanation of the relation between God and the material universe.
    0
    0
  • This classification, though it is of high value in the clearing up of our conceptions of the essential contrasted with the accidental, the relation of genus, differentia and definition and so forth, is of more significance in connexion with abstract sciences, especially mathematics, than for the physical sciences.
    0
    0
  • Thus defined, idealism is opposed to ordinary common-sense dualism, which regards knowledge or experience as the result of the more or less accidental relation between two separate and independent entities - the mind and its ideas on one side, the thing with its attributes on the other - that serve to limit and condition each other from without.
    0
    0
  • They are seen to be united under the relation of cause and effect, determining and determined, which turns out to mean that they are merely passing manifestations of some single entity or energy which constitutes the real unknown essence of the things that come before our knowledge.
    0
    0
  • But these ideas are themselves intelligible only in relation to one another and to the whole.
    0
    0
  • (b) From this it followed that difficult as we might find it to explain the relation of terms so remote from each other as sense and thought, the particular and the universal, matter and mind, these oppositions cannot in their nature be absolute.
    0
    0
  • It was these paradoxes that Kant sought to rebut by a more thoroughgoing criticism of the basis of knowledge the substance of which is summed up in his celebrated Refuta tion of Idealism,' wherein he sought to undermine Hume's scepticism by carrying it one step further and demonstrating that not only is all knowledge of self or object excluded, but the consciousness of any series of impressions and ideas is itself impossible except in relation to some external permanent and universally accepted world of objects.
    0
    0
  • More particularly by the confusion in which he left the relation between the two logical principles of identity and of sufficient reason underlying respectively analytic and synthetic, deductive and inductive thought, he may be said to have undermined in another way the idealism he strove to establish.
    0
    0
  • Object stands in essential relation to subject, subject to object.
    0
    0
  • This being so, it is wholly illogical to seek for any test of the truth and reality of either except in the form which that relation itself takes.
    0
    0
  • The relation of these impressions (and for the matter of that of their inter-relations among themselves) to our minds is only one out of many.
    0
    0
  • They bear a definite relation to the structure of our physical and psychical nature, and correspond to definite needs of the subject that manifests itself therein.
    0
    0
  • But the guarantee of freedom is to be sought for not in the denial of law, but in the whole nature of mind and its relation to the structure of experience.
    0
    0
  • In interpreting its environment first as a world of things that seem to stand in a relation of exclusion to one another and to itself, then as a natural system governed by rigid mechanical necessity, the mind can yet feel that in its very opposition the world is akin to it, bone of its bone and flesh of its flesh.
    0
    0
  • The relation of the Ephetae to the court of the Areopagus is obscure; cf.
    0
    0
  • The relation of the Americas to each other and to the rest of the world, as the home of plants and animals, is greatly affected by the breadth of the adjacent oceans, and also by the geologically recent changes of altitude whereby the breadth of the narrower parts of the lands and the oceans has been significantly altered.
    0
    0
  • In strong contrast with this relation of close fellowship is the exceptional isolation of far southern South America.
    0
    0
  • Heat and cold, rain and drought, the winds in relation to the points of the compass, were nearest their wants and supplies, and were never out of their thoughts.
    0
    0
  • (For the relation of the poems to E's narrative, see below.) Deut.
    0
    0
  • This creed formulates its relation to Scripture over and over, as the one regula by which all dogmata are to be tried.
    0
    0
  • It seems hardly better than a caput mortuum, out of relation to the original faith or the original facts that are held to have given it birth.
    0
    0
  • Putting these views aside as unsubstantial, we will consider the relation of the Waldenses as they appear in actual history with the sects which preceded them.
    0
    0
  • The law under which the census of 1840 was taken contained a novel provision for the preparation in connexion with the census of statistical tables giving "such information in relation to mines, agriculture, commerce, manufactures and schools as will exhibit a full view of the pursuits, industry, education and resources of the country."
    0
    0
  • During this stay in Europe, which lasted more than four years, he visited Germany to see the emperor; he also (1542) wrote his Veynte Razones, in defence of the liberties of the Indians and the Brevisima Relation de la Destruycion des las Indias occidentales, the latter of which was published some twelve years later.
    0
    0
  • The corresponding solid figure, in its most general form, is such as would be constructed to represent the relation of a magnitude E to two magnitudes F and G of which it is a function; it would stand on a plane base, and be comprised within a cylindrical boundary whose cross-section might be of any shape.
    0
    0
  • The relation between the inaccuracy of the data and the additional inaccuracy due to substitution of another figure is similar to the relation between the inaccuracies in mensuration of a figure which is supposed to be of a given form (§ 20).
    0
    0
  • Here Browne distinguishes acceptance of the covenant relation with God (religion) and the forming or " planting " of churches on the basis of God's covenant (with its laws of government), from the enforcing of the covenant voluntarily accepted, whether by church-excommunication or by civil penalties - the latter only in cases of flagrant impiety, such as idolatry, blasphemy or Sabbath-breaking.
    0
    0
  • Congregationalists, on the other hand, whether Independents or Baptists, remained on the whole Trinitarians, largely perhaps in virtue of their very polity, with its intimate relation between the piety of the people and that of the ministry.
    0
    0
  • Yet the relation of Congregational polity to its religious ideal had already become less intimate and conscious than even half a century before: the system was held simply as one traditionally associated with a serious and unworldly piety.
    0
    0
  • But after half a century's further experience, public opinion, stimulated by growing need for common action in relation to certain practical problems of home and foreign work, proved ripe for the realization of the earlier idea in its double form.
    0
    0
  • Church and State, citizenship in the one and membership in the other, thus became identical, and the foundation was laid for those troubles and consequent severities that vexed and shamed the early history of Independency in New England, natural enough when all their circumstances are fairly considered, indefensible when we regard their idea of the relation of the civil power to the conscience and religion, but explicable when their church idea alone is regarded.
    0
    0
  • The relation between membership of the church and membership of the civic community has been mentioned.
    0
    0
  • Coins of the time of Alexander the Great, found on the island of Oesel, show that the coasts of the Baltic were at an early period in commercial relation with the civilized world.
    0
    0
  • Strutt has found that phosphatized nodules and bones are rich in radioactive constituents, and has brought this into relation with their geological age.
    0
    0
  • To Cornell University, a non-sectarian institution opened at Ithaca in 1868, the state turned over the proceeds from the National land-grant act of 1862 on condition that it should admit free one student annually from each Assembly district, and in 1909 a still closer relation between this institution and the state was established by an act which makes, the governor, lieutenant-governor, speaker of the Assembly and commissioner of education ex-officio members of its board of trustees, and authorizes the governor with the approval of the Senate to appoint five other members, one each year.
    0
    0
  • These are probably guardian angels, standing to the churches in the same relation that the " princes " in Daniel stand to the nations; practically the " angels " are personifications of the churches.
    0
    0
  • The relation of St Benedict's Rule to earlier monastic rules, and of his institute to the prevailing monachism of his day, is explained in the article Monasticism.
    0
    0
  • The relation between integral numbers of months and years expressed by Meton's rule therefore deviates only two hours from the truth.
    0
    0
  • Since 19 Julian years make 6939 days, 18 hours, the relation errs by only I.
    0
    0
  • Prescot was formerly of greater importance in relation to the now populous district of south-west Lancashire; it was also a postal centre, and it is curious to notice that such addresses as.
    0
    0
  • The idea of an Incarnation of God is absurd; why should the human race think itself so superior to bees, ants and elephants as to be put in this unique relation to its maker?
    0
    0
  • And whilst the Synoptist speeches and actions stand in loose and natural relation to each other, the Johannine deeds so closely illustrate the sayings that each set everywhere supplements the other: the history itself here tends to become one long allegory.
    0
    0
  • Let E be the bulk modulus of elasticity, defined as increase of pressure = decrease of volume per unit volume where the pressure increase is so small that this ratio is constant, w the small increase of pressure, and - (dy/dx) the volume decrease, then E=e/(- dy/dx) or w Æ= - dy/dx (I) This gives the relation between pressure excess and displacement.
    0
    0
  • To find the relation of the velocity to displacement and pressure we shall express the fact that the wave travels on carrying all its conditions with it, so that the displacement now at M will arrive at N while the wave travels over MN.
    0
    0
  • That is to say, instead of using Boyle's law, which supposes that the pressure changes so exceedingly slowly that conduction keeps the temperature constant, we must use the adiabatic relation p = kpy, whence d p /d p = y k p Y 1= yp/p, and U = (yp/p) [Laplace's formula].
    0
    0
  • When the value of dyldx is not very small E is no longer constant, but is rather greater in compression and rather less in extension than -yP. This can be seen by considering that the relation between p and is given by a curve and not by a straight line.
    0
    0
  • The relation between the pitch of a note and the frequency of the corresponding vibrations has also been studied by graphic methods.
    0
    0
  • & 'm =21rnapU, for in the stationary wave system the pressure change and the amplitude are both double those in either train, so that the same relation holds.
    0
    0
  • In order to understand the attitude which the Free State took at this time in relation to the Transvaal, it is necessary to review the history of Mr Reitz from an earlier date.
    0
    0
  • These antinomies are four - two mathematical, two dynamical - connected with (I) the limitation of the universe in respect of space and time, (2) the theory that the whole consists of indivisible atoms (whereas, in fact, none such exist), (3) the problem of freedom in relation to universal causality, (4) the existence of a universal being - about each of which pure reason contradicts the empirical, as thesis and antithesis.
    0
    0
  • "For all purposes of our relation with powers the subjects of Indian native states must be regarded as subjects of Her Majesty" (Our Indian Protectorate, 18 93, p. 353).
    0
    0
  • Even if the origin was a compact or contract, after the "United States" were formed by a "constitutional act" there no longer existed a mere contractual relation: there existed a state to which all were subject, and which all must obey (von Stengel, Staatenbund and Bundesstaat; Jahrbuch fiir Gesetzgebung, 1898, p. 754; Cooley, Principles of Constitutional Law, pp. 21, 102).
    0
    0
  • The stability of such structures depends on the position of the line of pressure in relation to the extrados and intrados of the arch ring.
    0
    0
  • Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.
    0
    0
  • Then the deflection at the centre is the value of y for x = a, and is _ 5 wa4 S - 14 EI' The radius of curvature of the beam at D is given by the relation R=EI/M.
    0
    0
  • The State administration comprised all affairs having relation to rights, duties and interests " which are common to all territories"; all other administrative tasks were left to the territories.
    0
    0
  • In addition to this there was another quite exceptional source of difficulties which had the most serious consequences for Austria, namely her relation with Hungary, due to the peculiar constitutional structure of the Austro-Hungarian Monarchy.
    0
    0
  • On Solomon's relation to philosophical and proverbial literature, see PROVERBS.
    0
    0
  • But this is not certain, and even if it were, it does not necessarily imply that Hippolytus enjoyed the personal teaching of the celebrated Gallic bishop; it may perhaps merely refer to that relation of his theological system to that of Irenaeus which can easily be traced in his writings.
    0
    0
  • Fesch therefore stood almost in the relation of an uncle to the young Bonapartes, and after the death of Lucien Bonaparte, archdeacon of Ajaccio, he became for a time the protector and patron of the family.
    0
    0
  • It may be admitted that, in many cases, the distinction between Ultramontanism and Catholicism cannot be clearly traced; and it is impossible to draw a sharp line of severance between the two, which could be absolutely valid under all circumstances and in relation to all questions.
    0
    0
  • The relation of these writers to the apostolic teaching generally has become pretty evident.
    0
    0
  • Whilst all who approached the queen bore witness to her candour and reasonableness in relation to her ministers, all likewise proclaimed how anxiously she considered advice that was submitted to her before letting herself be persuaded that she must accept it for the good of her people.
    0
    0
  • From this time to her death the relation between the king and his mother was one of concealed or open hostility.
    0
    0
  • (a) There is a natural relation between God and man in which God looks favourably upon man.
    0
    0
  • (b) This relation has been disturbed so that God regards man's character and conduct with disapproval, and inflicts suffering upon him by way of punishment.
    0
    0
  • (c) The normal relation may be restored, i.e.
    0
    0
  • Moreover, it could not define the relation of Christ to the atonement.
    0
    0
  • The New Testament, however, does not indicate that its writers were agreed as to any formal dogma of the atonement, as regards the relation of the death of Christ to the sinner's restoration to God's favour; but various suggestions are made as to the solution of the problem.
    0
    0
  • This approximate relation was first systematically developed by the early inhabitants of Mesopotamia, and formed the startingpoint for all their divisions of time.
    0
    0
  • Darwin's experiments in reference to the movements of climbing and twining plants, and of leaves in insectivorous plants, have opened up a wide field of inquiry as to the relation between plants and the various external factors, which has attracted numerous workers.
    0
    0
  • To it Sundanese stands in the relation that Low German holds to High German, and the Madurese in the relation of a strongly individualized dialect.
    0
    0
  • Mayer entirely ignored the grand fundamental principle laid down by Sadi Carnot - that nothing can be concluded as to the relation between heat and work from an experiment in which the working substance is left at the end of an operation in a different physical state from that in which it was at the commencement.
    0
    0
  • In addition to the Transactions of these societies - many of which contain valuable contributions to their respective departments in their relation to the East Indies - a considerable number of publications are issued in Batavia.
    0
    0
  • The evidence for this view, that all these agencies are at bottom connected together and parts of the same scheme, was enormously strengthened during the latter half of the 19th century by the development of a relation of simple quantitative equivalence between them; it has been found that we can define quantities relating to them, under the names of mechanical energy, electric energy, thermal energy, and so on, so that when one of them disappears, it is replaced by the others to exactly equal amount.
    0
    0
  • It thus appears that the doctrine of atomic material constitution and the doctrine of a universal aether stand to each other in a relation of mutual support; if the scheme of physical laws is to be as precise as observation and measurement appear to make it, both doctrines are required in our efforts towards synthesis.
    0
    0
  • If this relation is true along all paths, the velocity of the aether must be of irrotational type, like that of frictionless fluid.
    0
    0
  • We may now, as is somewhat the more natural course in the terrestrial application, take axes (x,y,z) which move with the matter; but the current must be invariably defined by the flux across surfaces fixed in space, so that we may say that relation (i) refers to a circuit fixed in space, while (ii) refers to one moving with the matter.
    0
    0
  • If v varies with respect to locality, or if there is a velocity of convection (p,q,r) variable with respect to direction and position, and analytical expression of the relation (ii) assumes a more complex form; we thus derive the most general equations of electrodynamic propagation for matter treated as continuous, anyhow distributed and moving in any manner.
    0
    0
  • According to the early disciples Jesus was the Jewish Messiah, and had significance only in relation to the expected Messianic kingdom.
    0
    0
  • What is the relation of the divine and human natures in Christ?
    0
    0
  • Meanwhile in the Western Church the subject of sin and grace, and the relation of divine and human activity in salvation, received especial attention; and finally, at the second council of Orange in 529, after both Pelagianism and semi-Pelagianism had been repudiated, a moderate form of Augustinianism was adopted,, involving the theory that every man as a result of the fall is in such a condition that he can take no steps in the direction of salvation until he has been renewed by the divine grace given in baptism, and that he cannot continue in the good thus begun except by the constant assistance of that grace, which is mediated only by the Catholic Church.
    0
    0
  • But was it possible for the relation between Empire and Papacy to remain what Henry III.
    0
    0
  • This involved the question of the relation in theology of authority and reason, and of whether the theological method is authoritative or rational.
    0
    0
  • Abelard, too, started from tradition; but he discovered that the statements of the various authorities are very often in the relation of sic et non, yes and no.
    0
    0