Of these all except points are quantities: lines involve lengths, planes involve areas, and cubic contents involve volumes.
Deidre nodded, unable to think of a response that didn't involve crying or fleeing.
79-89; v1.49-5 1, 73, 8 5-94), involve critical problems of some difficulty and interest.
Mr. Cooms didn't involve the police so I don't know how we'd check the area clinics or doctors.
Watchers rarely cause us harm, but they rarely involve themselves in our business either.
It is sufficient to show, as has already been done, that the soul is not so absolutely dependent on the body, that the dissolution of the one must necessarily involve the cessation of the other.
ALGEBRAIC FORMS. The subject-matter of algebraic forms is to a large extent connected with the linear transformation of algebraical polynomials which involve two or more variables.
The clipped note in her chief advisor's voice reminded her of how little he approved of her recent decision to involve herself in war planning.
No wonder if they prove to involve happiness; that is their definition!
It was nothing but excitement from first to last--drives, luncheons, receptions, and all that they involve when you have an eager, tireless child like Helen on your hands.
For absurd and impracticable schemes in Italy and elsewhere he neglected Germany, and sought to involve its princes in wars undertaken solely for private aggrandizement or personal jealousy.
The local affairs of the commune are decided by the municipal council, and its decisions become operative after the expiration of a month, save in matters which involve interests transcending those of the commune.
The motions of bodies, or of the ultimate parts of bodies, also involve energy, for stopping them would be a source of work.
For example, does the heat generated by friction vary as the friction and the time during which it acts, or is it proportional to the friction and the distance through which the rubbing bodies are displaced - that is, to the work done against friction - or does it involve any other conditions?
The morality of this course has been much canvassed, though it seems really to involve nothing more than an express declaration of what the two oaths implied.
Giving that argument the highest place seems to involve, as already said, a dash of the same scepticism.
In the 13th century it was recognized that a " clerk " for felony was subject only to ecclesiastical trial and punishment; punishment which might involve lifelong imprisonment.
The idea of an identity of protoplasm does not involve a denial of special powers developed in it in different situations, and the possession of such a power by the vegetable cell is not more striking than the location of the powers of co-ordination and thought in the protoplasm of cells of the human brain.
The metabolic changes in the cells, however, concern other decompositions side by side with those which involve the building up of protoplasm from the products of which it feeds.
Finally, he did not allow his friendliness with Argos to involve him in war with Sparta, towards whom he pursued a policy of moderation.
In neither case did the allegiance involve strict obedience to orders from the superior, and their loyalty was always in danger of being troubled by their love of independence and equality and their desire for loot.
The unfortunate results of this policy led many of the states, from about 1850, to put constitutional limitations upon the power of their legislatures to lend the state's credit or to involve the state as stockholder in the affairs of any corporation.
The arguments of conservative writers involve concessions which, though often overlooked by their readers, are very detrimental to the position they endeavour to support, and the objections they bring against the theory of the introduction of new law-books (under a Josiah or an Ezra) apply with equal force to the promulgation of Mosaic teaching which had been admittedly ignored or forgotten.
The incident is a valuable picture of crude ideas of Yahweh, and, if nothing else were needed, it was sufficient to involve David in a feud with the Benjamites.
The Oligochaeta contrast with the Polychaeta in the general presence of outgrowths of the septa in the genital segments, which are either close to, or actually involve, the gonads, and into which may also open the funnels of the gonad ducts.
To deal adequately with the numerous extensions or qualifications of these and other doctrines in the hands of modern economists would involve us in an attempt to do what we have already said is impossible except on conditions not at present realized.
The changes that take place involve a revolution in the being, and may be summarized under three headings: (I) The food-relations of the individual are profoundly changed, an entirely different set of mouth-organs appears and the kind and quantity of the food taken is often radically different.
- Chemical change or chemical action may be said to take place whenever changes occur which involve an alteration in the composition of molecules, and may be the result of the action of agents such as heat, electricity or light, or of two or more elements or compounds upon each other.
Changes of the first and second kind, according to our views of the constitution of molecules, are probably of very rare occurrence; in fact, chemical action appears almost always to involve the occurrence of both these kinds of change, for, as already pointed out, we must assume that the molecules of hydrogen, oxygen and several other elements are diatomic, or that they consist of two atoms. Indeed, it appears probable that with few exceptions the elements are all compounds of similar atoms united together by one or more units of affinity, according to their valencies.
This is shown in the case of the chloracetic acids: According to van 't Hoff the substitution of chlorine atoms into a methyl group occasions the following increments: The introduction of chlorine, however, may involve a fall in the boiling-point, as is recorded by Henry in the case of the chlorinated acetonitriles: NC CH 3.
In many cases it may be connected with basic oxygen, and the salt formation is assumed to involve the passage of divalent into tetravalent oxygen.
When the plates are connected together by means of a wire, no current flows, and no appreciable amount of zinc dissolves, for the dissolution of zinc would involve the separation of potassium and a gain in available energy.
In order that positively electrified ions may enter a solution, an equivalent amount of other positive ions must be removed or negative ions be added, and, for the process to occur spontaneously, the possible action at the two electrodes must involve a decrease in the total available energy of the system.
To the pope alone is reserved the blessing of the pallium, the golden rose, the "Agnus-Dei" and royal swords; he alone, too, can issue blessings that involve some days' indulgence.
The communion meal would, according to the views of Robertson Smith, also involve the idea of a covenant; while the fact that no person joining in the meal should be uncircumcised connects the feast with the covenant of Abraham.
When the Passover fell upon the sabbath, as occurred during his visit, a difficulty arose about the paschal sacrifice, which might involve work on the sabbath.
But these contradictions do not depend upon any theory of number, for Russell's contradiction 2 does not involve number in any form.
It is remarkable that a great many polymorphous substances assume more symmetrical forms at higher temperatures, and a possible explanation of the increase in density of such compounds as silver iodide, &c., may be sought for in the theory that the formation of a more symmetrical configuration would involve a drawing together of the molecules, and consequently an increase in density.
Coplanar substitution in four hydrogen atoms would involve the pushing apart of the iodine atoms in four horizontal directions.
This tautomerism may be of a twofold nature :-(I) it may involve the mere oscillation of linkages, as in acridine; or (2) it may involve the oscillation of atoms, as in fluorescein.
Changes which involve combination, changes which involve decomposition or separation, and changes which involve at the same time both decomposition and combination.
Equally disastrous are those climatic or seasonal changes which involve temperatures in themselves not excessive but in wrong sequence; how many more useful plants could be grown in the open in the United Kingdom if the deceptively mild springs were not so often followed by frosts in May and June!