Definition of Tions. Meaning of Tions. Synonyms of Tions

Here you will find one or more explanations in English for the word Tions. Also in the bottom left of the page several parts of wikipedia pages related to the word Tions and, of course, Tions synonyms and on the right images related to the word Tions.

Definition of Tions

No result for Tions. Showing similar results...

Angular sections
Section Sec"tion, n. [L. sectio, fr. secare, sectum, to cut; akin to E. saw a cutting instrument: cf. F. section. See Saw, and cf. Scion, Dissect, Insect, Secant, Segment.] 1. The act of cutting, or separation by cutting; as, the section of bodies. 2. A part separated from something; a division; a portion; a slice. Specifically: (a) A distinct part or portion of a book or writing; a subdivision of a chapter; the division of a law or other writing; a paragraph; an article; hence, the character [sect], often used to denote such a division. It is hardly possible to give a distinct view of his several arguments in distinct sections. --Locke. (b) A distinct part of a country or people, community, class, or the like; a part of a territory separated by geographical lines, or of a people considered as distinct. The extreme section of one class consists of bigoted dotards, the extreme section of the other consists of shallow and reckless empirics. --Macaulay. (c) One of the portions, of one square mile each, into which the public lands of the United States are divided; one thirty-sixth part of a township. These sections are subdivided into quarter sections for sale under the homestead and pre["e]mption laws. 3. (Geom.) The figure made up of all the points common to a superficies and a solid which meet, or to two superficies which meet, or to two lines which meet. In the first case the section is a superficies, in the second a line, and in the third a point. 4. (Nat. Hist.) A division of a genus; a group of species separated by some distinction from others of the same genus; -- often indicated by the sign [sect]. 5. (Mus.) A part of a musical period, composed of one or more phrases. See Phrase. 6. The description or representation of anything as it would appear if cut through by any intersecting plane; depiction of what is beyond a plane passing through, or supposed to pass through, an object, as a building, a machine, a succession of strata; profile. Note: In mechanical drawing, as in these Illustrations of a cannon, a longitudinal section (a) usually represents the object as cut through its center lengthwise and vertically; a cross or transverse section (b), as cut crosswise and vertically; and a horizontal section (c), as cut through its center horizontally. Oblique sections are made at various angles. In architecture, a vertical section is a drawing showing the interior, the thickness of the walls, ets., as if made on a vertical plane passed through a building. Angular sections (Math.), a branch of analysis which treats of the relations of sines, tangents, etc., of arcs to the sines, tangents, etc., of their multiples or of their parts. [R.] Conic sections. (Geom.) See under Conic. Section liner (Drawing), an instrument to aid in drawing a series of equidistant parallel lines, -- used in representing sections. Thin sections, a section or slice, as of mineral, animal, or vegetable substance, thin enough to be transparent, and used for study under the microscope. Syn: Part; portion; division. Usage: Section, Part. The English more commonly apply the word section to a part or portion of a body of men; as, a section of the clergy, a small section of the Whigs, etc. In the United States this use is less common, but another use, unknown or but little known in England, is very frequent, as in the phrases ``the eastern section of our country,' etc., the same sense being also given to the adjective sectional as, sectional feelings, interests, etc.
Apostolic constitutions
Apostolic Ap`os*tol"ic, Apostolical Ap`os*tol"ic*al, a. [L. apostolicus, Gr. ?: cf. F. apostolique.] 1. Pertaining to an apostle, or to the apostles, their times, or their peculiar spirit; as, an apostolical mission; the apostolic age. 2. According to the doctrines of the apostles; delivered or taught by the apostles; as, apostolic faith or practice. 3. Of or pertaining to the pope or the papacy; papal. Apostolical brief. See under Brief. Apostolic canons, a collection of rules and precepts relating to the duty of Christians, and particularly to the ceremonies and discipline of the church in the second and third centuries. Apostolic church, the Christian church; -- so called on account of its apostolic foundation, doctrine, and order. The churches of Rome, Alexandria, Antioch, and Jerusalem were called apostolic churches. Apostolic constitutions, directions of a nature similar to the apostolic canons, and perhaps compiled by the same authors or author. Apostolic fathers, early Christian writers, who were born in the first century, and thus touched on the age of the apostles. They were Polycarp, Clement, Ignatius, and Hermas; to these Barnabas has sometimes been added. Apostolic king (or majesty), a title granted by the pope to the kings of Hungary on account of the extensive propagation of Christianity by St. Stephen, the founder of the royal line. It is now a title of the emperor of Austria in right of the throne of Hungary. Apostolic see, a see founded and governed by an apostle; specifically, the Church of Rome; -- so called because, in the Roman Catholic belief, the pope is the successor of St. Peter, the prince of the apostles, and the only apostle who has successors in the apostolic office. Apostolical succession, the regular and uninterrupted transmission of ministerial authority by a succession of bishops from the apostles to any subsequent period. --Hook.
Calculus of functions
Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.
Calculus of operations
Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.
Calculus of variations
Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.
cations
Ion I"on, n. 1. One of the electrified particles into which, according to the electrolytic dissociation theory, the molecules of electrolytes are divided by water and other solvents. An ion consists of one or more atoms and carries a unit charge of electricity, 3.4 x 10^-10 electrostatic units, or a multiple of this. Those which are positively electrified (hydrogen and the metals) are called cations; negative ions (hydroxyl and acidic atoms or groups) are called anions. Note: Thus, hydrochloric acid (HCl) dissociates, in aqueous solution, into the hydrogen ion, H^+, and the chlorine ion, Cl^-; ferric nitrate, Fe(NO3)3, yields the ferric ion, Fe^+++, and nitrate ions, NO3^-, NO3^-, NO3^-. When a solution containing ions is made part of an electric circuit, the cations move toward the cathode, the anions toward the anode. This movement is called migration, and the velocity of it differs for different kinds of ions. If the electromotive force is sufficient, electrolysis ensues: cations give up their charge at the cathode and separate in metallic form or decompose water, forming hydrogen and alkali; similarly, at the anode the element of the anion separates, or the metal of the anode is dissolved, or decomposition occurs. 2. One of the small electrified particles into which the molecules of a gas are broken up under the action of the electric current, of ultraviolet and certain other rays, and of high temperatures. To the properties and behavior of ions the phenomena of the electric discharge through rarefied gases and many other important effects are ascribed. At low pressures the negative ions appear to be electrons; the positive ions, atoms minus an electron. At ordinary pressures each ion seems to include also a number of attached molecules. Ions may be formed in a gas in various ways.
Circular functions
Circular Cir"cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See Circle.] 1. In the form of, or bounded by, a circle; round. 2. repeating itself; ending in itself; reverting to the point of beginning; hence, illogical; inconclusive; as, circular reasoning. 3. Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic. Had Virgil been a circular poet, and closely adhered to history, how could the Romans have had Dido? --Dennis. 4. Addressed to a circle, or to a number of persons having a common interest; circulated, or intended for circulation; as, a circular letter. A proclamation of Henry III., . . . doubtless circular throughout England. --Hallam. 5. Perfect; complete. [Obs.] A man so absolute and circular In all those wished-for rarities that may take A virgin captive. --Massinger. Circular are, any portion of the circumference of a circle. Circular cubics (Math.), curves of the third order which are imagined to pass through the two circular points at infinity. Circular functions. (Math.) See under Function. Circular instruments, mathematical instruments employed for measuring angles, in which the graduation extends round the whole circumference of a circle, or 360[deg]. Circular lines, straight lines pertaining to the circle, as sines, tangents, secants, etc. Circular note or letter. (a) (Com.) See under Credit. (b) (Diplomacy) A letter addressed in identical terms to a number of persons. Circular numbers (Arith.), those whose powers terminate in the same digits as the roots themselves; as 5 and 6, whose squares are 25 and 36. --Bailey. --Barlow. Circular points at infinity (Geom.), two imaginary points at infinite distance through which every circle in the plane is, in the theory of curves, imagined to pass. Circular polarization. (Min.) See under Polarization. Circular or Globular sailing (Naut.), the method of sailing by the arc of a great circle. Circular saw. See under Saw.
Comity of nations
Comity Com"i*ty, n.; pl. Comities. [L. comitas, fr. comis courteous, kind.] Mildness and suavity of manners; courtesy between equals; friendly civility; as, comity of manners; the comity of States. Comity of nations (International Law), the courtesy by which nations recognize within their own territory, or in their courts, the peculiar institutions of another nation or the rights and privileges acquired by its citizens in their own land. By some authorities private international law rests on this comity, but the better opinion is that it is part of the common law of the land, and hence is obligatory as law. Syn: Civility; good breeding; courtesy; good will.
Conic sections
Section Sec"tion, n. [L. sectio, fr. secare, sectum, to cut; akin to E. saw a cutting instrument: cf. F. section. See Saw, and cf. Scion, Dissect, Insect, Secant, Segment.] 1. The act of cutting, or separation by cutting; as, the section of bodies. 2. A part separated from something; a division; a portion; a slice. Specifically: (a) A distinct part or portion of a book or writing; a subdivision of a chapter; the division of a law or other writing; a paragraph; an article; hence, the character [sect], often used to denote such a division. It is hardly possible to give a distinct view of his several arguments in distinct sections. --Locke. (b) A distinct part of a country or people, community, class, or the like; a part of a territory separated by geographical lines, or of a people considered as distinct. The extreme section of one class consists of bigoted dotards, the extreme section of the other consists of shallow and reckless empirics. --Macaulay. (c) One of the portions, of one square mile each, into which the public lands of the United States are divided; one thirty-sixth part of a township. These sections are subdivided into quarter sections for sale under the homestead and pre["e]mption laws. 3. (Geom.) The figure made up of all the points common to a superficies and a solid which meet, or to two superficies which meet, or to two lines which meet. In the first case the section is a superficies, in the second a line, and in the third a point. 4. (Nat. Hist.) A division of a genus; a group of species separated by some distinction from others of the same genus; -- often indicated by the sign [sect]. 5. (Mus.) A part of a musical period, composed of one or more phrases. See Phrase. 6. The description or representation of anything as it would appear if cut through by any intersecting plane; depiction of what is beyond a plane passing through, or supposed to pass through, an object, as a building, a machine, a succession of strata; profile. Note: In mechanical drawing, as in these Illustrations of a cannon, a longitudinal section (a) usually represents the object as cut through its center lengthwise and vertically; a cross or transverse section (b), as cut crosswise and vertically; and a horizontal section (c), as cut through its center horizontally. Oblique sections are made at various angles. In architecture, a vertical section is a drawing showing the interior, the thickness of the walls, ets., as if made on a vertical plane passed through a building. Angular sections (Math.), a branch of analysis which treats of the relations of sines, tangents, etc., of arcs to the sines, tangents, etc., of their multiples or of their parts. [R.] Conic sections. (Geom.) See under Conic. Section liner (Drawing), an instrument to aid in drawing a series of equidistant parallel lines, -- used in representing sections. Thin sections, a section or slice, as of mineral, animal, or vegetable substance, thin enough to be transparent, and used for study under the microscope. Syn: Part; portion; division. Usage: Section, Part. The English more commonly apply the word section to a part or portion of a body of men; as, a section of the clergy, a small section of the Whigs, etc. In the United States this use is less common, but another use, unknown or but little known in England, is very frequent, as in the phrases ``the eastern section of our country,' etc., the same sense being also given to the adjective sectional as, sectional feelings, interests, etc.
Conic sections
Conic Con"ic, Conical Con"ic*al, a. [Gr. ?: cf. F. conique. See Cone.] 1. Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel. 2. Of or pertaining to a cone; as, conic sections. Conic section (Geom.), a curved line formed by the intersection of the surface of a right cone and a plane. The conic sections are the parabola, ellipse, and hyperbola. The right lines and the circle which result from certain positions of the plane are sometimes, though not generally included. Conic sections, that branch of geometry which treats of the parabola, ellipse, and hyperbola. Conical pendulum. See Pendulum. Conical projection, a method of delineating the surface of a sphere upon a plane surface as if projected upon the surface of a cone; -- much used by makers of maps in Europe. Conical surface (Geom.), a surface described by a right line moving along any curve and always passing through a fixed point that is not in the plane of that curve.
Contradictions
Contradictions Con`tra*dic"tions, a. 1. Filled with contradictions; inconsistent. [Obs.] 2. Inclined to contradict or cavil [Obs.] --Sharp. -- Con`tra*dic"tious*ness, n. --Norris.
Coordinate conjunctions
Coordinate Co*["o]r"di*nate, a. [Pref. co- + L. ordinatus, p. p. of ordinare to regulate. See Ordain.] Equal in rank or order; not subordinate. Whether there was one Supreme Governor of the world, or many co["o]rdinate powers presiding over each country. --Law. Conjunctions joint sentences and co["o]rdinate terms. --Rev. R. Morris. Co["o]rdinate adjectives, adjectives disconnected as regards ane another, but referring equally to the same subject. Co["o]rdinate conjunctions, conjunctions joining independent propositions. --Rev. R. Morris.
Corporations aggregate
Corporation Cor`po*ra"tion (k[^o]r`p[-o]*r[=a]"sh[u^]n), n. [L. corporatio incarnation: cf. F. corporation corporation.] A body politic or corporate, formed and authorized by law to act as a single person, and endowed by law with the capacity of succession; a society having the capacity of transacting business as an individual. Note: Corporations are aggregate or sole. Corporations aggregate consist of two or more persons united in a society, which is preserved by a succession of members, either forever or till the corporation is dissolved by the power that formed it, by the death of all its members, by surrender of its charter or franchises, or by forfeiture. Such corporations are the mayor and aldermen of cities, the head and fellows of a college, the dean and chapter of a cathedral church, the stockholders of a bank or insurance company, etc. A corporation sole consists of a single person, who is made a body corporate and politic, in order to give him some legal capacities, and especially that of succession, which as a natural person he can not have. Kings, bishops, deans, parsons, and vicars, are in England sole corporations. A fee will not pass to a corporation sole without the word ``successors' in the grant. There are instances in the United States of a minister of a parish seized of parsonage lands in the right of his parish, being a corporation sole, as in Massachusetts. Corporations are sometimes classified as public and private; public being convertible with municipal, and private corporations being all corporations not municipal. Close corporation. See under Close.
Determinate equations
Determinate De*ter"mi*nate, a. [L. determinatus, p. p. of determinare. See Determine.] 1. Having defined limits; not uncertain or arbitrary; fixed; established; definite. Quantity of words and a determinate number of feet. --Dryden. 2. Conclusive; decisive; positive. The determinate counsel and foreknowledge of God. --Acts ii. 23. 3. Determined or resolved upon. [Obs.] My determinate voyage. --Shak. 4. Of determined purpose; resolute. [Obs.] More determinate to do than skillful how to do. --Sir P. Sidney. Determinate inflorescence (Bot.), that in which the flowering commences with the terminal bud of a stem, which puts a limit to its growth; -- also called centrifugal inflorescence. Determinate problem (Math.), a problem which admits of a limited number of solutions. Determinate quantities, Determinate equations (Math.), those that are finite in the number of values or solutions, that is, in which the conditions of the problem or equation determine the number.
Diazo reactions
Diazo- Di*az"o- [Pref. di- + azo-] (Chem.) A combining form (also used adjectively), meaning pertaining to, or derived from, a series of compounds containing a radical of two nitrogen atoms, united usually to an aromatic radical; as, diazo-benzene, C6H5.N2.OH. Note: Diazo compounds are in general unstable, but are of great importance in recent organic chemistry. They are obtained by a partial reduction of the salts of certain amido compounds. Diazo reactions (Chem.), a series of reactions whereby diazo compounds are employed in substitution. These reactions are of great importance in organic chemistry.
Doctrine of definite proportions
Atomic A*tom"ic, Atomical A*tom"ic*al, a. [Cf. F. atomique.] 1. Of or pertaining to atoms. 2. Extremely minute; tiny. Atomic philosophy, or Doctrine of atoms, a system which, assuming that atoms are endued with gravity and motion, accounted thus for the origin and formation of all things. This philosophy was first broached by Leucippus, was developed by Democritus, and afterward improved by Epicurus, and hence is sometimes denominated the Epicurean philosophy. Atomic theory, or the Doctrine of definite proportions (Chem.), teaches that chemical combinations take place between the supposed ultimate particles or atoms of bodies, in some simple ratio, as of one to one, two to three, or some other, always expressible in whole numbers. Atomic weight (Chem.), the weight of the atom of an element as compared with the weight of the atom of hydrogen, taken as a standard.
Five nations
Nation Na"tion, n. [F. nation, L. natio nation, race, orig., a being born, fr. natus, p. p. of nasci, to be born, for gnatus, gnasci, from the same root as E. kin. [root]44. See Kin kindred, and cf. Cognate, Natal, Native.] 1. (Ethnol.) A part, or division, of the people of the earth, distinguished from the rest by common descent, language, or institutions; a race; a stock. All nations, and kindreds, and people, and tongues. --Rev. vii. 9. 2. The body of inhabitants of a country, united under an independent government of their own. A nation is the unity of a people. --Coleridge. Praise the power that hath made and preserved us a nation. --F. S. Key. 3. Family; lineage. [Obs.] --Chaucer. 4. (a) One of the divisions of university students in a classification according to nativity, formerly common in Europe. (b) (Scotch Universities) One of the four divisions (named from the parts of Scotland) in which students were classified according to their nativity. 5. A great number; a great deal; -- by way of emphasis; as, a nation of herbs. --Sterne. Five nations. See under Five. Law of nations. See International law, under International, and Law. Syn: people; race. See People.
Five nations
Five nations (Ethnol.), a confederacy of the Huron-Iroquois Indians, consisting of five tribes: Mohawks, Onondagas, Cayugas, Oneidas, and Senecas. They inhabited the region which is now the State of new York.
Fugitive compositions
Fugitive Fu"gi*tive, a. [OE. fugitif, F. fugitif, fr. L. fugitivus, fr. fugere to flee. See Bow to bend, and cf. Feverfew.] 1. Fleeing from pursuit, danger, restraint, etc., escaping, from service, duty etc.; as, a fugitive solder; a fugitive slave; a fugitive debtor. The fugitive Parthians follow. --Shak. Can a fugitive daughter enjoy herself while her parents are in tear? --Richardson A libellous pamphlet of a fugitive physician. --Sir H. Wotton. 2. Not fixed; not durable; liable to disappear or fall away; volatile; uncertain; evanescent; liable to fade; -- applied to material and immaterial things; as, fugitive colors; a fugitive idea. The me more tender and fugitive parts, the leaves . . . of vegatables. --Woodward. Fugitive compositions, Such as are short and occasional, and so published that they quickly escape notice. Syn: Fleeting; unstable; wandering; uncertain; volatile; fugacious; fleeing; evanescent.
Gouty concretions
Gouty Gout"y, a. 1. Diseased with, or subject to, the gout; as, a gouty person; a gouty joint. 2. Pertaining to the gout. ``Gouty matter.' --Blackmore. 3. Swollen, as if from gout. --Derham. 4. Boggy; as, gouty land. [Obs.] --Spenser. Gouty bronchitis, bronchitis arising as a secondary disease during the progress of gout. Gouty concretions, calculi (urate of sodium) formed in the joints, kidneys, etc., of sufferers from gout. Gouty kidney, an affection occurring during the progress of gout, the kidney shriveling and containing concretions of urate of sodium.
Hyperbolic functions
Hyperbolic Hy`per*bol"ic, Hyperbolical Hy`per*bol"ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. 2. (Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. ``This hyperbolical epitaph.' --Fuller. Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc. Hyperbolic logarithm. See Logarithm. Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.
Law of nations
Nation Na"tion, n. [F. nation, L. natio nation, race, orig., a being born, fr. natus, p. p. of nasci, to be born, for gnatus, gnasci, from the same root as E. kin. [root]44. See Kin kindred, and cf. Cognate, Natal, Native.] 1. (Ethnol.) A part, or division, of the people of the earth, distinguished from the rest by common descent, language, or institutions; a race; a stock. All nations, and kindreds, and people, and tongues. --Rev. vii. 9. 2. The body of inhabitants of a country, united under an independent government of their own. A nation is the unity of a people. --Coleridge. Praise the power that hath made and preserved us a nation. --F. S. Key. 3. Family; lineage. [Obs.] --Chaucer. 4. (a) One of the divisions of university students in a classification according to nativity, formerly common in Europe. (b) (Scotch Universities) One of the four divisions (named from the parts of Scotland) in which students were classified according to their nativity. 5. A great number; a great deal; -- by way of emphasis; as, a nation of herbs. --Sterne. Five nations. See under Five. Law of nations. See International law, under International, and Law. Syn: people; race. See People.
laws or regulations
Sumptuary Sump"tu*a*ry, a. [L. sumptuarius, fr. sumptus expense, cost, fr. sumere, sumptum, to take, use, spend; sub under + emere to take, buy: cf. F. somptuaire. See Redeem.] Relating to expense; regulating expense or expenditure. --Bacon. Sumptuary laws or regulations, laws intended to restrain or limit the expenditure of citizens in apparel, food, furniture, etc.; laws which regulate the prices of commodities and the wages of labor; laws which forbid or restrict the use of certain articles, as of luxurious apparel.
Local actions
Local Lo"cal, a. [L. localis, fr. locus place: cf. F. local. See Lieu, Locus.] Of or pertaining to a particular place, or to a definite region or portion of space; restricted to one place or region; as, a local custom. Gives to airy nothing A local habitation and a name. --Shak. Local actions (Law), actions such as must be brought in a particular county, where the cause arises; -- distinguished from transitory actions. Local affection (Med.), a disease or ailment confined to a particular part or organ, and not directly affecting the system. Local attraction (Magnetism), an attraction near a compass, causing its needle to deviate from its proper direction, especially on shipboard. Local battery (Teleg.), the battery which actuates the recording instruments of a telegraphic station, as distinguished from the battery furnishing a current for the line. Local circuit (Teleg.), the circuit of the local battery. Local color. (a) (Paint.) The color which belongs to an object, and is not caused by accidental influences, as of reflection, shadow, etc. (b) (Literature) Peculiarities of the place and its inhabitants where the scene of an action or story is laid. Local option, the right or obligation of determining by popular vote within certain districts, as in each county, city, or town, whether the sale of alcoholic beverages within the district shall be allowed.
Martime nations
Maritime Mar"i*time, a. [L. maritimus, fr. mare the sea: cf. F. maritime. See Mere a pool.] 1. Bordering on, or situated near, the ocean; connected with the sea by site, interest, or power; having shipping and commerce or a navy; as, maritime states. ``A maritime town.' --Addison. 2. Of or pertaining to the ocean; marine; pertaining to navigation and naval affairs, or to shipping and commerce by sea. ``Maritime service.' --Sir H. Wotton. Maritime law. See Law. Maritime loan, a loan secured by bottomry or respodentia bonds. Martime nations, nations having seaports, and using the sea more or less for war or commerce.
Partial fractions
Partial Par"tial, a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See Part, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a partial eclipse of the moon. ``Partial dissolutions of the earth.' --T. Burnet. 2. Inclined to favor one party in a cause, or one side of a question, more then the other; baised; not indifferent; as, a judge should not be partial. Ye have been partial in the law. --Mal. ii. 9. 3. Having a predelection for; inclined to favor unreasonably; foolishly fond. ``A partial parent.' --Pope. Not partial to an ostentatious display. --Sir W. Scott. 4. (Bot.) Pertaining to a subordinate portion; as, a compound umbel is made up of a several partial umbels; a leaflet is often supported by a partial petiole. Partial differentials, Partial differential coefficients, Partial differentiation, etc. (of a function of two or more variables), the differentials, differential coefficients, differentiation etc., of the function, upon the hypothesis that some of the variables are for the time constant. Partial fractions (Alg.), fractions whose sum equals a given fraction. Partial tones (Music), the simple tones which in combination form an ordinary tone; the overtones, or harmonics, which, blending with a fundamental tone, cause its special quality of sound, or timbre, or tone color. See, also, Tone.
private corporations
Corporation Cor`po*ra"tion (k[^o]r`p[-o]*r[=a]"sh[u^]n), n. [L. corporatio incarnation: cf. F. corporation corporation.] A body politic or corporate, formed and authorized by law to act as a single person, and endowed by law with the capacity of succession; a society having the capacity of transacting business as an individual. Note: Corporations are aggregate or sole. Corporations aggregate consist of two or more persons united in a society, which is preserved by a succession of members, either forever or till the corporation is dissolved by the power that formed it, by the death of all its members, by surrender of its charter or franchises, or by forfeiture. Such corporations are the mayor and aldermen of cities, the head and fellows of a college, the dean and chapter of a cathedral church, the stockholders of a bank or insurance company, etc. A corporation sole consists of a single person, who is made a body corporate and politic, in order to give him some legal capacities, and especially that of succession, which as a natural person he can not have. Kings, bishops, deans, parsons, and vicars, are in England sole corporations. A fee will not pass to a corporation sole without the word ``successors' in the grant. There are instances in the United States of a minister of a parish seized of parsonage lands in the right of his parish, being a corporation sole, as in Massachusetts. Corporations are sometimes classified as public and private; public being convertible with municipal, and private corporations being all corporations not municipal. Close corporation. See under Close.
Probationship
Probationship Pro*ba"tion*ship, n. A state of probation.
Relationship
Relationship Re*la"tion*ship, n. The state of being related by kindred, affinity, or other alliance. --Mason.
Simultaneous equations
Simultaneous Si`mul*ta"ne*ous, a. [LL. simultim at the same time, fr. L. simul. See Simulate.] Existing, happening, or done, at the same time; as, simultaneous events. -- Si`mul*ta"ne*ous*ly, adv. -- Si`mul*ta"ne*ous*ness, n. Simultaneous equations (Alg.), two or more equations in which the values of the unknown quantities entering them are the same at the same time in both or in all.

Meaning of Tions from wikipedia

- up tion in Wiktionary, the free dictionary. Tion is a given name and may refer to: Tion Green (born 1993), an American football running back Tion Otang...
- Dennis Junior Odunwo (born 1 September 1993), known professionally as Tion Wayne, is a British rapper and DJ from Edmonton, North London. He appeared on...
- Emotion (stylized as E•MO•TION) is the third studio album by Canadian singer and songwriter Carly Rae Jepsen. It was released on June 24, 2015 in ****an...
- Chion-in (知恩院, Monastery of Gratitude) in Higashiyama-ku, Kyoto, ****an is the headquarters of the Jōdo-shū (Pure Land Sect) founded by Hōnen (1133–1212)...
- Integrated Brilliant Education Limited is a registered charity in Hong Kong (IR 91/16221), with Section 88 Inland Revenue Ordinance tax-exempt status....
- "Tion Wayne and Russ Millions top Official Trending Chart with Body following huge new remix". Official Charts Company. Retrieved 5 May 2021. "Tion Wayne...
- track to reach the top 10. Russ Millions has collaborated with Buni, Taze, Tion Wayne, Digga D, Pressa, LD and Dappy. The dance that Russ performs in the...
- Tion Otang is an I-Kiribati bureaucrat. On March 28, 2003, Teburoro Tito, President of Kiribati was removed from power by a motion of no confidence in...
- Emotion: Side B (stylized as E•MO•TION: Side B) is the third extended play (EP) by Canadian singer Carly Rae Jepsen. It was released on August 26, 2016...
- the series was completed in mid June 2023. The Block auctions (or Block-tions) for the houses were held on Sa****ay, 4 November 2023, with the final episode...