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a square number

  • 1 quadro

    quā̆dro, āvi, ātum, 1, v. a. and n. [quadrus].
    I.
    Act., to make four-cornered, to square, make square:

    abies atque populus ad unguem quadrantur,

    Col. 11, 2, 13:

    lapides,

    Vulg. 3 Reg. 5, 17.—
    B.
    Transf., to put in proper order, to join properly together, to complete, perfect:

    quadrandae orationis industria,

    in properly arranging, Cic. Or. 58, 197:

    quae pars quadrat acervum,

    Hor. Ep. 1, 6, 35 Orell. ad loc. —
    II.
    Neutr. ( to be square, said of squared stones for building, which fit well together; hence), transf., to square or agree with, to fit, suit:

    secto via limite quadret,

    Verg. G. 2, 278:

    eam conjunctionem quadrare volumus,

    Cic. de Or. 3, 44, 175:

    omnia in istam quadrant,

    fit her, id. Cael. 29, 69:

    ad multa,

    to suit in many respects, id. Att. 4, 18:

    quoniam tibi ita quadrat,

    it seems to you so proper, pleases you so, id. Brut. 11, 43.—
    B.
    Trop.
    1.
    Of accounts, to square, agree, accord:

    quomodo sexcenta eodem modo quadrarint,

    Cic. Verr. 2, 1, 36, § 92: visum est hoc mihi ad multa quadrare. id. Att. 4, 19, 2 (4, 18, 3).—
    2.
    Of words, to be fitting, appropriate:

    scire, quod quoque loco verborum maxime quadret,

    Quint. 9, 4, 60.— Hence, quā̆drātus, a, um, P. a.
    A.
    In gen., squared, square, quadrate (class.): quadrata basis, Varr. ap. Plin. 36, 13, 19, § 91: pes, a square foot, Plin, 33, 4, 21, § 75; Col. 5, 1, 6; 5, 2, 5:

    saxum,

    squared, hewn stone, Liv. 10, 23; so, lapis, Varr. ap. Plin. 36, 13, 19, § 91: littera, capital letters, which are composed of square strokes, Petr. 29:

    statura,

    square, robust, Suet. Vesp. 20:

    corpus,

    Cels. 2, 1:

    boves,

    stout, vigorous, Col. 6, 1, 3:

    canis,

    id. 7, 12, 4:

    signa,

    i.e. statues, Plin. 34, 8, 19, § 56: agmen, a marching in regular order of battle; also, an army advancing in regular order of battle, so that the whole body forms a parallelogram, Varr. ap. Serv. ad Verg. A. 12, 121:

    quadratum acies consistat in agmen,

    Tib. 4 (5), 1, 100:

    ut inde agmine quadrato ad urbem accederet,

    in order of battle, Cic. Phil. 13, 8, 18; 2, 42, 108; Hirt. B. G. 8, 8; Liv. 21, 5, 16; Curt. 5, 1, 19; Sen. Ep. 59, 6:

    quadrato agmine incedere,

    Sall. J. 100, 1; v. agmen; cf.: quadrato Exercitu, Cat. ap. Non. p. 204, 33:

    pallium,

    square, four-cornered, Petr. 135:

    numerus,

    a square number, Gell. 1, 20, 4:

    versus,

    a verse of eight feet, id. 2, 29, 20: Roma, the most ancient Rome, built in the form of a square, on the Mons Palatinus; and, in a narrower sense, the enclosed square place on the summit of the Palatine, the mundus of all cities built in the Etruscan fashion, Fest. p. 258 Müll.; cf. on the Roma quadrata, Becker, Alterth. 1, p. 105 sq. —
    2.
    Substt.
    a.
    quā̆drātum, i, n.
    (α).
    A [p. 1501] square, a quadrate:

    dimensio quadrati,

    Cic. Tusc. 1, 24, 57; id. N. D. 1, 10, 24:

    mutat quadrata rotundis,

    Hor. Ep. 1, 1, 100:

    in quadratum,

    into a square, tetragon, Plin. 18, 22, 51, § 189; Quint. 1, 10, 40.—
    (β).
    Astronom. t. t., quadrature, quartile, Cic. Div. 2, 42, 89:

    luna in quadrato solis dividua est,

    Plin. 2, 18, 16, § 80.—
    b.
    quā̆drātus, i, m., a square, quadrate:

    marmorum quadrati,

    Cassiod. Var. 2, 7. —
    B.
    Transf., fitting, suitable (rare):

    lenis et quadrata verborum compositio,

    Quint. 2, 5, 9; cf. id. 9, 4, 69. — Hence, adv.: quā̆drātē, fourfold, four times (post-class.), Manil. 2, 295.

    Lewis & Short latin dictionary > quadro

  • 2 dynamis

    dynămis, is, f., = dunamis.
    * I.
    A store, plenty (cf. the Lat. vis), Plaut. Ps. 1, 2, 77.—
    II.
    A square number (cf. potestas, Mart. Cap. 2, § 106), Arn. 2, p. 60.

    Lewis & Short latin dictionary > dynamis

  • 3 agmen

    agmĕn, ĭnis, n. [as if contr. from agimen, from ago; cf.: tegimen, tegmen, from tego].
    I.
    Lit.
    A.
    In gen., a train, i. e. a collected multitude in motion or moving forwards; of things of any kind, but esp. (so most freq. in prose) of men or animals. —Of streams of water, motion, course, current: quod per amoenam urbem lent fluit agmine flumen, Enn. ap. Macr. S. 6, 4:

    inde super terras fluit agmine dulci,

    Lucr. 5, 272; cf. id. 6, 638; also,

    in imitation of Enn., Virg. and Val. Fl.: leni fluit agmine Thybris,

    Verg. A. 2, 782; cf. Val. Fl. 4, 721.—Of a train or succession of clouds:

    denso sunt agmine nubes,

    Lucr. 6, 100.—Of rain:

    immensum caelo venit agmen aquarum,

    body, mass, Verg. G. 1, 322 —Of atoms:

    agmine condenso naturam corporis explent,

    crowded into a compact mass, Lucr. 1, 607.—Of oars:

    agmine re morum ceieri,

    with quick plashing of oars, Verg. A. 5, 211.—Of a flock of birds: agmi ne magno. Corvorum. Verg. G. 1, 381.—Of a snake winding onwards:

    cum medii nexus extremaeque agmina caudae Solvuntur,

    Verg. G. 3, 424; cf. id. A. 2, 212.—Of clouds of dust following any thing in rapid motion, as men, animals, etc.:

    agmina cervi Pulverulenta,

    Verg. A. 4, 154.—And, as subst. concr., of birds turba Agminis aligeri, of the winged band, Verg A. 12, 249.—Of ants;

    frugilegas aspeximus agmine longo formi cas,

    Ov. M 7, 624; so id. ib. 7, 638.—Of the stars: diffugiunt stellae;

    quarum agmina cogit Lucifer,

    Ov. M. 2, 114; so id. ib. 11, 97 al.—Eap. of a company of persons, a multitude, troop, crowd, number, band:

    ut a Brundisic nsque Romam agmen perpetuum totius Italiae viderem,

    Cic. Pis. 22:

    magno senatorum agmine,

    Tac. H. 3, 55:

    ingens mulierum agmen,

    Liv. 2, 40:

    muliebre et miserabile agmen,

    Tac. A. 1, 40: numerosum agmen reorum, Plin Ep. 3, 9, and Tac. H. 4, 6: Eumenidum agmina, Verg A. 4, 469.—But particularly,
    B.
    The train, procession, march, progress of an army:

    de castris, de agminibus, etc., dicere,

    Cic. de Or. 1, 48, 210:

    ne miles gregarius in castris, neve in agmine servum aut jumentum haberet,

    Sall. J. 45, 2:

    pugnatum saepe directā acie, saepe in agminibus, saepe eruptionibus,

    Vell. 2, 47:

    effuso agmine abire,

    Liv. 44, 39:

    uno agmine victores cum victis in urbem irrupere,

    id. 2, 30;

    uno agmine persequentes,

    Vulg. Judith, 15, 4 al. —
    II.
    Transf., concr., an army, and properly considered as in motion, on the march (while exercitus is a disciplined army, and acies an army in battle-array) —As soon as the signal for marching was given, the Extraordinarii and the allies of the right wing, with their baggage, first put themselves in motion, then the legions, and last the allies of the left wing, with a part of the cavalry, which either rode behind the army, ad agmen claudendum or cogendum. to close the train, i. e. to keep it to gether or on the side in such an order (composito agmine, non itineri magis apto quam proelio) that it might be easily put into the line of battle, if the enemy ven tured to attack it; cf. Sall. J. 46, 6.—An army in close ranks was called agmen justum, Tac. H. 1, 68, or agmen pilatum, Serv. ad Verg. A. 12, 121—When there was no apprehension of the enemy, less care was taken for the protection of the army:

    agmine incauto, i. e. minus munito, ut inter pacatos, ducebat, sc. consul,

    Liv. 35, 4.—

    The order of march was, however, different, according to circumstances and the nature of the ground,

    Liv. 35, 4; 27, 28; and cf. Smith's Antiq.—Sometimes the army marched in the form of a square, agmen quadratum, with their baggage in the middle, so as to be in battle-array on meeting the enemy; hence agmen quadratum often means the same as acies triplex, an army formed in line of battle, only that the former indicates that they are on the march, and the latter that they are at rest.—Hence, like acies, with the epithet primum, the vanguard, Liv. 34, 28; Tac. Agr. 35:

    medium,

    the centre, Liv. 10, 41; Tac. H. 4, 22:

    extremum,

    Liv. 34, 28; Tac. H. 2, 100;

    or, novissimum,

    the rear, rearguard, Liv. 44, 33; so,

    extremi agminis,

    Vulg. Deut. 25, 18:

    ut inde agmine quadratc ad urbem accederet,

    marching in a square, Cic. Phil. 13, 8:

    pariter atque in conspectu hostium quadrato agmine incedere,

    Sall. J 100, 1; cf. id. ib. 46, 6, 7:

    Hannibal agmine quadrato amnem ingressus,

    Liv. 21, 5; se id. 31, 36; 37, 39:

    quadrato agmine velut in aciem irent,

    Curt. 5, 1, 19 al. —Sometimes, esp. in the poets in the plur., in gen. [p. 73] sense, = exercitus or copiae, an army, host, troops:

    huic tanto agmini dux defuit,

    Just. 12, 10:

    occidit Daci Cotisonis agmen,

    Hor. C. 3, 8, 18:

    agmina curru Proterit,

    Verg. A. 12, 329:

    barbarorum Claudius agmina diruit,

    Hor. C. 4, 14, 29; so id. S. 2, 1, 14; id. Epod. 17, 9; Ov. M. 3, 535; 5, 151, 161; 6, 423:

    Del agminum Israël,

    Vulg. 1 Reg. 17, 45:

    agmina ejus dispergam,

    ib. Ezech. 12, 14; 38, 6.—For military service, warfare:

    rudis agminum Sponsus,

    Hor. C. 3, 2, 9.—
    B.
    Trop.
    1.
    An army, troop, band, multitude:

    educenda dictio est ex hac domesticā exercitatione et umbratili medium in agmen, in pulverem, in clamorem, in castra, aciemque forensem,

    i. e. before the public, Cic. de Or. 1, 34, 157:

    e Brundisio usque Romam agmen perpetuum totius Italiae,

    an unbroken train, id. Pis. 22, 51:

    ingens mulierum agmen,

    Liv. 2, 40; 9, 17:

    agmina Eumenidum,

    Verg. A. 4, 469; 6, 572:

    agmina comitum,

    Ov. Tr. 14, 30:

    in angusto fidus comes agmine turbae,

    Tib. 1, 5, 63:

    numerosum agmen reorum,

    Plin. Ep. 3, 9:

    agmen occupationum,

    an army of, id. ib. 2, 8.—
    2.
    March, movement:

    agmina fati et volumina,

    Gell. 6, 2, 5.

    Lewis & Short latin dictionary > agmen

  • 4 āgmen

        āgmen inis, n    [ago], that which is driven.— In gen., a multitude, throng, host, troop, crowd, number, band: perpetuum totius Italiae: ingens mulierum, L.: puerile, of boys, V.: Eumenidum agmina, V.: navium, a line of ships (for a breakwater), L.: graniferum, ants, O.: agmina cervi fugā glomerant, V.: (stellarum) agmina, O. — Esp., an army on the march, column: medium hostium, the centre, L.: novissimum hostium... nostrum primum, rear, van, Cs.: extremum, rear guard, Cs.: confertissimo agmine contendere, in close array, Cs.: certum agminis locum tenere, place in the column: transverso agmine, by a flank movement, L.: agmine tacito, i. e. without signals, L.: agmine quadrato accedere, in solid column: quadrato agmine incedere, in a square, S.—An army, host, troops (cf. exercitus, acies): instructo agmine, L.: agmina curru Proterit, V.: horrentia pilis, H.: coniurata undique pugnant Agmina, O.: venti, velut agmine facto, as if for battle, V.: agmen agens, the naval line of battle, V.: rudis agminum, i. e. in war, H. — A course, train, line, stream, succession: leni fluit agmine, V.: immensum aquarum, V.: agmine longo formicae, in a long line, O.: agmine remorum celeri, with a quick stroke of the oars, V.: extremae agmina caudae, movements, V.: agmine certo, in a straight line, V.—Of an army, a passage, progress, march: de castris, de agminibus... dicere: in agmine, on the march, S.: in agmine principes facti, to lead, S.: educenda dictio est medium in agmen, before the public.
    * * *
    stream; herd, flock, troop, crowd; marching army, column, line; procession

    Latin-English dictionary > āgmen

  • 5 quaternarius

    quăternārĭus, a, um, adj. [quaterni], consisting of four each, containing four, quaternary (post-Aug.):

    scrobes quaternarii, hoc est quoquoversus pedum quattuor,

    four feet square, Col. 11, 2, 28:

    numerus,

    the number four, the quaternary, Plin. 28, 6, 17, § 64:

    formae, of coins,

    Lampr. Alex. Sev. 38.

    Lewis & Short latin dictionary > quaternarius

  • 6 triens

    trĭens, entis, m. [tres], a third part, a third of any thing.
    I.
    In gen.:

    cum sciemus, quantum quasi sit in trientis triente,

    Cic. Att. 7, 8, 3:

    medicaminis,

    Col. 12, 20, 7:

    ut triens ex heminā supersit,

    Plin. 23, 7, 68, § 133.—Of inheritances:

    cum duobus coheredibus esse in triente,

    Cic. Att. 7, 8, 3:

    heredes ex triente,

    Suet. Aug. 101.—
    II.
    In partic.
    A.
    Of coins.
    1.
    The third part of an as, Varr. L. L. 5, § 171 Müll.; Hor. A. P. 328; Plin. 33, 3, 13, § 45; Liv. Ep. 60; 22, 10, 7; Messala ap. Plin. 34, 13, 38, § 137; Juv. 3, 267.—
    2.
    Under the later emperors, a gold coin, the third part of an aureus, Gall. ap. Treb. Claud. 17 fin. —
    B.
    As a measure of interest, one third per cent. monthly, or, in our way of reckoning, four per cent. yearly:

    usurae,

    Dig. 35, 2, 3 fin.:

    pensiones,

    Lampr. Alex. Sev. 21.—
    C.
    In square or long measure.
    1.
    The third of a juger, Col. 5, 1, 11; 5, 2, 2.—
    2.
    The third of a foot in length, Front. Aquaed. 26; 38. —
    D.
    In liquid measure, a third of a sextarius, i. e. four cyathi, Prop. 3, 10 (4, 9), 29; Mart. 1, 107, 8; 6, 86, 1; 9, 88, 2; 10, 49, 1.—
    E.
    Among mathematicians, the number two (as a third of six), Vitr. 3, 1 med. —
    III.
    Trientem tertium... id significare ait Cincius duas libras pondo et trientem, Fest. p. 363.

    Lewis & Short latin dictionary > triens

  • 7 trigarium

    trīgārĭus, a, um, adj. [triga], of or belonging to a triga; used only as subst.
    I.
    trīgārĭus, ii, m., one who drives a threehorse chariot, Plin. 28, 17, 72, § 238; 29, 1, 5, § 9.—
    II.
    trīgārĭum, ii, n.
    A.
    A place in which trigae (and horses in general) are trained and exercised, Plin. 37, 13, 77, § 202; cf.: trigarium topos, hopou hippoi gumnazontai, Gloss. Philox.—
    2.
    As a nom. propr., a place or square in Rome in the ninth region, Inscr. Orell. 4266.—
    B.
    (Acc. to triga, II.) The number three, Mart. Cap. 7, § 733; 9, § 895.

    Lewis & Short latin dictionary > trigarium

  • 8 trigarius

    trīgārĭus, a, um, adj. [triga], of or belonging to a triga; used only as subst.
    I.
    trīgārĭus, ii, m., one who drives a threehorse chariot, Plin. 28, 17, 72, § 238; 29, 1, 5, § 9.—
    II.
    trīgārĭum, ii, n.
    A.
    A place in which trigae (and horses in general) are trained and exercised, Plin. 37, 13, 77, § 202; cf.: trigarium topos, hopou hippoi gumnazontai, Gloss. Philox.—
    2.
    As a nom. propr., a place or square in Rome in the ninth region, Inscr. Orell. 4266.—
    B.
    (Acc. to triga, II.) The number three, Mart. Cap. 7, § 733; 9, § 895.

    Lewis & Short latin dictionary > trigarius

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