Definition of Infin. Meaning of Infin. Synonyms of Infin

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Definition of Infin

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Ad infinitum
Ad infinitum Ad in`fi*ni"tum [L., to infinity.] Without limit; endlessly.
Circle at infinity
4. (Math.) A quantity greater than any assignable quantity of the same kind. Note: Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it. --Davies & Peck (Math. Dict.). 5. (Geom.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass. Circular points at infinity. See under Circular.
Circular points at infinity
4. (Math.) A quantity greater than any assignable quantity of the same kind. Note: Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it. --Davies & Peck (Math. Dict.). 5. (Geom.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass. Circular points at infinity. See under Circular.
Circular points at infinity
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.
cleft infinitive
Split infinitive Split infinitive (Gram.) A simple infinitive with to, having a modifier between the verb and the to; as in, to largely decrease. Called also cleft infinitive.
dative infinitive
Gerund Ger"und, n. [L. gerundium, fr. gerere to bear, carry, perform. See Gest a deed, Jest.] (Lat. Gram.) 1. A kind of verbal noun, having only the four oblique cases of the singular number, and governing cases like a participle. 2. (AS. Gram.) A verbal noun ending in -e, preceded by to and usually denoting purpose or end; -- called also the dative infinitive; as, ``Ic h[ae]bbe mete t[^o] etanne' (I have meat to eat.) In Modern English the name has been applied to verbal or participal nouns in -ing denoting a transitive action; e. g., by throwing a stone.
Infinite
Infinite In"fi*nite, a. [L. infinitus: cf. F. infini. See In- not, and Finite.] 1. Unlimited or boundless, in time or space; as, infinite duration or distance. Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least can not sink. --H. Brooke. 2. Without limit in power, capacity, knowledge, or excellence; boundless; immeasurably or inconceivably great; perfect; as, the infinite wisdom and goodness of God; -- opposed to finite. Great is our Lord, and of great power; his understanding is infinite. --Ps. cxlvii. 5. O God, how infinite thou art! --I. Watts. 3. Indefinitely large or extensive; great; vast; immense; gigantic; prodigious. Infinite riches in a little room. --Marlowe. Which infinite calamity shall cause To human life. --Milton. 4. (Math.) Greater than any assignable quantity of the same kind; -- said of certain quantities. 5. (Mus.) Capable of endless repetition; -- said of certain forms of the canon, called also perpetual fugues, so constructed that their ends lead to their beginnings, and the performance may be incessantly repeated. --Moore (Encyc. of Music). Syn: Boundless; immeasurable; illimitable; interminable; limitless; unlimited; endless; eternal.
Infinitely
Infinitely In"fi*nite*ly, adv. 1. Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity. 2. Very; exceedingly; vastly; highly; extremely. ``Infinitely pleased.' --Dryden.
Infiniteness
Infiniteness In"fi*nite*ness, n. The state or quality of being infinite; infinity; greatness; immensity. --Jer. Taylor.
Infinitesimal
Infinitesimal In`fin*i*tes"i*mal, n. (Math.) An infinitely small quantity; that which is less than any assignable quantity.
Infinitesimally
Infinitesimally In`fin*i*tes"i*mal*ly, adv. By infinitesimals; in infinitely small quantities; in an infinitesimal degree.
Infinitival
Infinitival In*fin`i*ti"val, a. Pertaining to the infinite mood. ``Infinitival stems.' --Fitzed. Hall.
Infinitive
Infinitive In*fin"i*tive, n. [L. infinitivus: cf. F. infinitif. See Infinite.] Unlimited; not bounded or restricted; undefined. Infinitive mood (Gram.), that form of the verb which merely names the action, and performs the office of a verbal noun. Some grammarians make two forms in English: (a) The simple form, as, speak, go, hear, before which to is commonly placed, as, to speak; to go; to hear. (b) The form of the imperfect participle, called the infinitive in -ing; as, going is as easy as standing. Note: With the auxiliary verbs may, can, must, might, could, would, and should, the simple infinitive is expressed without to; as, you may speak; they must hear, etc. The infinitive usually omits to with the verbs let, dare, do, bid, make, see, hear, need, etc.; as, let me go; you dare not tell; make him work; hear him talk, etc. Note: In Anglo-Saxon, the simple infinitive was not preceded by to (the sign of modern simple infinitive), but it had a dative form (sometimes called the gerundial infinitive) which was preceded by to, and was chiefly employed in expressing purpose. See Gerund, 2. Note: The gerundial ending (-anne) not only took the same form as the simple infinitive (-an), but it was confounded with the present participle in -ende, or -inde (later -inge).
Infinitive
Infinitive In*fin"i*tive, n. (Gram.) An infinitive form of the verb; a verb in the infinitive mood; the infinitive mood.
Infinitive
Infinitive In*fin"i*tive, adv. (Gram.) In the manner of an infinitive mood.
Infinitive mood
Infinitive In*fin"i*tive, n. [L. infinitivus: cf. F. infinitif. See Infinite.] Unlimited; not bounded or restricted; undefined. Infinitive mood (Gram.), that form of the verb which merely names the action, and performs the office of a verbal noun. Some grammarians make two forms in English: (a) The simple form, as, speak, go, hear, before which to is commonly placed, as, to speak; to go; to hear. (b) The form of the imperfect participle, called the infinitive in -ing; as, going is as easy as standing. Note: With the auxiliary verbs may, can, must, might, could, would, and should, the simple infinitive is expressed without to; as, you may speak; they must hear, etc. The infinitive usually omits to with the verbs let, dare, do, bid, make, see, hear, need, etc.; as, let me go; you dare not tell; make him work; hear him talk, etc. Note: In Anglo-Saxon, the simple infinitive was not preceded by to (the sign of modern simple infinitive), but it had a dative form (sometimes called the gerundial infinitive) which was preceded by to, and was chiefly employed in expressing purpose. See Gerund, 2. Note: The gerundial ending (-anne) not only took the same form as the simple infinitive (-an), but it was confounded with the present participle in -ende, or -inde (later -inge).
Infinito
Infinito In`fi*ni"to, a. [It.] (Mus.) Infinite; perpetual, as a canon whose end leads back to the beginning. See Infinite, a., 5.
Infinitude
Infinitude In*fin"i*tude, n. 1. The quality or state of being infinite, or without limits; infiniteness. 2. Infinite extent; unlimited space; immensity; infinity. ``I am who fill infinitude.' --Milton. As pleasing to the fancy, as speculations of eternity or infinitude are to the understanding. --Addison. 3. Boundless number; countless multitude. ``An infinitude of distinctions.' --Addison.
Infinituple
Infinituple In*fin"i*tu`ple, a. [Cf. Quadruple.] Multipied an infinite number of times. [R.] --Wollaston.
Split infinitive
Split infinitive Split infinitive (Gram.) A simple infinitive with to, having a modifier between the verb and the to; as in, to largely decrease. Called also cleft infinitive.

Meaning of Infin from wikipedia

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