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symmetrical measure

  • 1 симметричная мера

    Русско-английский научно-технический словарь Масловского > симметричная мера

  • 2 симметричная мера

    Mathematics: symmetrical measure

    Универсальный русско-английский словарь > симметричная мера

  • 3 критерий

    measure; test

    Русско-английский научный словарь > критерий

  • 4 μέτρον

    Grammatical information: n.
    Meaning: `measure, the right, full measure, goal, length, size, syllable- or verse-measure' (Il.).
    Compounds: Many compp., e.g. σύμμετρος `with the same measure, maesured, becoming, symmetrical' with συμμετρ-ία `harmony, symmetry' a. o. (IA.); περί-μετρος `exceeding (the measure)' (Od.); but περί-μετρον (Hdt., Arist.), - ος (sc. γραμμή) f. `circumference, extent' after περίοδος a. o. with verbal association ( περι-μετρέω Luc.), s. Risch IF 59, 252.
    Derivatives: Adj. 1. μέτριος `moderate, suitable' (Hes.) with μετρι-ότης `moderation' (IA.), - οσύνη `poverty' (pap. VIp), - ακός `moderate' (pap. VIp), - άζω `be moderate' (Att. hell.) with - ασμός (Suid.); μετριεύεται H. s. λαγαρίτ-τεται. 2. μετρικός `metrical, acc. to measure' (Arist.). 3. Adv. μετρηδόν `in metrical form' (Nonn.). 4. Verb: μετρέω, very often with prefix, e.g. ἀνα-, δια-, ἐπι-, ἐκ-, ἀπο-, συν-, `measure, measure (off), estimate etc.' (Hom.); from this (often with prefix) μέτρ-ησις `measurement' (IA.)., - ημα `measure' (E., hell.), - ητής m. "measurer", name of a measure, `metretes' (Att.; Fraenkel Nom. ag. 1, 233), - ητίς f. `id.' (Amorgos IVa), - ητιαῖος `sticking to a μ.' (Karyanda), - ητικός `regarding measurement' (Pl.). As 2. member in several verbal cornpp., e.g. γεω-μέτρης m. `land-, fieldmeasurer, geometrist' (Pl., X.) with γεωμετρ-ία, Ion. - ίη (Hdt., Ar.; also compound of γῆν μετρεῖν?), - ικός (Democr., Pl.), - έω (Att.), βου-μέτρης "cowmeasurer" = ὁ ἐπι θυσιῶν τεταγμένος παρὰ Αἰτωλοῖς H.; cf. E. Kretschmer Glotta 18, 86. -- Backformations like διάμετρος (sc. γραμμή) f. `diameter, diagonal etc.' (Pl., Arist.), ἐπίμετρον `excess, addition' (hell.).
    Origin: IE [Indo-European] [703] * meh₁- `measure'
    Etymology: Beside μέτρον we have with the same suffix but diff. ablaut μήτρα f. `landmeasure etc.' (Cilicia), ἐρεσι-μήτρην την γεωμετρίαν H. (s. ἔρα), which agrees exactly with Skt. mā́trā f. `measure' and goes back on an athematic present, Skt. mā́-ti `measure' (\< IE * meh₁-ti). The shortness of the ε in μέτρον as opposed to Skt. mā́tram n. `id.' finds however no agreement outside Greek; one might think of a thematic vowel after zero grade root μ-έ-τρον (Brugmann, e.g. Grundr.2 II: 1, 342); a reduced grade of IE * meh₁-- (as θέ-(σις) from θη-) is difficult: it would require * mh₁tr- to become (*) μετρ- and not rather *m̥h₁tr- \> μητρ-; in the latter case Prakr. mettam n. `measure' from Skt. * mitram (innovated after mi-ta-?) would give a direct parallel (note that mh₁etr- might rather have givem *m̥h₁etr- \> *αμετρ-); the question has not been solved yet, Beekes Laryngeals 183. I now think that at the beginning of the word the *m- could have remained consonantal. A derivation IE *méd-tro-m from * med- `measure' (not here μέδιμνος, s.v., with de Saussure MSL 6, 246ff.) would have given *μέστρον. -- An other derivation of the same verb is μῆτις, s. v.
    Page in Frisk: 2,220-221

    Greek-English etymological dictionary (Ελληνικά-Αγγλικά ετυμολογική λεξικό) > μέτρον

  • 5 σύμμετρος

    A commensurate with, of like measure or size with, σύμμετρος σῷ ποδί (sc. ἡ βάσις) E.El. 533;

    χαμεύνῃ Id.Fr. 676

    ; βόστρυχον.. σύμμετρον τῷ σῷ κάρᾳ exactly like it, A.Ch. 230: esp. of Time, commensurate with, keeping even with, δαλὸν ἥλικα ξύμμετρόν τε διαὶ βίου ib. 610 (lyr.); τῷδε τἀνδρὶ ς. being of like age with him, S. OT 1113; ποίᾳ ξύμμετρος προὔβην τύχῃ; coincident with what chance have I come? i.e. in the very nick of time, Id.Ant. 387, cf. E.Alc.26 (infr. 111).
    2 in Mathematics, having a common measure, σύμμετροι αἱ τῷ αὐτῷ μέτρῳ μετρούμεναι (sc. γραμμαί) Arist.LI 968b6; freq. denied of the relation between the diagonal of a square and its side, Id.APo. 71b27, APr. 41a26, Ph. 221b25, Rh. 1392a18; [τὸ νόμισμα] πάντα ποιεῖ σύμμετρα commensurable, Id.EN 1133b22; μήκει οὐ σύμμετροι τῇ ποδιαίᾳ not lineally commensurate with the one-foot side, Pl.Tht. 147d, cf. 148b: [comp] Comp., of musical intervals,

    ταῖς αἰσθήσεσιν εὐληπτότερα τὰ -ότερα Ptol.Harm.1.10

    .
    II in measure with, proportionable, exactly suitable, λόγοι ἀνδράσι ς. Isoc.4.83, cf. 5.110, 12.135; γῆ θηρίοις μᾶλλον ἢ ἀνθρώποις ς. Str.15.1.26;

    σ. πρός τι Pl.Lg. 625d

    , Metrod.Fr.1, etc.; c. dat., Pl.Men. 76d, Ti. 67c, Epicur.Fr.81 ([comp] Comp.).
    2 abs., in right measure, in due proportion, symmetrical, opp. ὑπερβάλλων and ἐλλείπων, Arist.EN 1104a18, al.;

    τὸ σ. καὶ καλόν Pl.Phlb. 66b

    ;

    τῶν φύσει ξηροτέρων.. ὡς πρὸς τὸν σ. παραβάλλειν Gal.6.360

    , cf. 27, al.
    4 moderate,

    πόνοι Isoc.1.12

    ;

    ὥστε σύμμετρον.. τὸ πνεῦμα.. ποιεῖν Antiph.202.16

    ;

    σ. τροφαί Sor.1.26

    , cf. 49, al.; σ. στέγη moderate in size, X.Oec.8.13; of suitable size,

    σκῆπτρον OGI56.62

     (Canopus, iii B.C.).
    III Adv. - τρως in moderation, Isoc.1.32, etc.; in due time,

    ἀφίκετο E.Alc.26

    ; σ. πρὸς ἑωυτόν conveniently, Hp.Off.3; σ. ἔχειν πρός τι to be in proportion to.., X.Eq.1.16;

    εἴς τι Arist.Mir. 834a15

    ;

    σ. ἴσχειν λεπτότητος καὶ πάχους Pl.Ti. 85c

    ; τὸ μετὰ νοῦ καὶ τὸ ς. Nicom.Com.1.36; = μετρίως, φέρειν IG12(7).396.31 (Amorgos, ii B.C.), cf. Aristid.Quint.2.5. [comp] Comp. - ότερον more fittingly, D.61.27 (v.l. -ώτερον).

    Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > σύμμετρος

  • 6 सम _sama

    सम a.
    1 Same, identical.
    -2 Equal, as in समलोष्ट- काञ्चनः R.8.21; Pt.2.7; सुखदुःखे समे कृत्वा लाभालाभौ जयाजयौ Bg.2.38; समः शत्रौ च मित्रे च तथा मानापमानयोः । शीतोष्णसुख- दुःखेषु समः संगविवर्जितः ॥ 12.18.
    -3 Like, similar, resem- bling; with instr. or gen. or in comp. गुणयुक्तो दरिद्रो$पि नेश्वरैरगुणैः समः Subhāṣ.; Ku.3.13.
    -4 Even, level, plain; समवेशवर्तिनस्ते न दुरासदो भविष्यति Ś.1.
    -5 Even (as number).
    -6 Impartial, fair; शुनि चैव श्वपाके च पण्डिताः समदर्शिनः Bg.5.18.
    -7 Just, honest, upright.
    -8 Good, virtuous.
    -9 Ordinary, common.
    -1 Mean, middling.
    -11 Straight.
    -12 Suitable, convenient.
    -13 Indiffer- ent, unmoved, unaffected by passion.
    -14 All, every one.
    -15 All, whole, entire, complete.
    -16 Being a pair.
    -17 Regular, normal.
    -18 Middling.
    -19 Easy, conveni- ent.
    -मः 1 N. of certain zodiacal signs (वृष, कर्कट, कन्या, वृश्चिक, मकर, and मीन).
    -2 A mode of measuring time in music.
    -3 The point of intersection of the horizon and the meridian line.
    -4 A kind of straight line placed over a numerical figure to mark the process of extracting the square root.
    -मम् 1 A level plain, flat country; संनिपत्य शनकैरिव निम्नादन्धकारमुदवाप समानि Ki.9. 11.
    -2 (In rhet.) N. of a figure of speech.
    -3 (In geometry) A mean proportional segment.
    -4 Equa- nimity.
    -5 Similarity.
    -6 Settlement; compensation; कर्मणापि समं कुर्याद्धनिकायाधमर्णिकः Ms.8.177.
    -7 Good circumstances; Mk.
    -सम् ind.
    1 With, together with, in company with, accompanied by; (with instr.); आहां निवत्स्यति समं हरिणाङ्गनाभिः Ś.1.26; R.2.25;8.63; 16.72.
    -2 Equally; समं सर्वेषु भूतेषु Bg.13.27.28; यथा सर्वाणि भूतानि धरा धारयते समम् Ms.9.311.
    -3 Like, simi- larly, in the same manner; यत्र स्वामी निर्विशेषं समं मृत्येषु वर्तते Pt.1.78.
    -4 Entirely.
    -5 Simultaneously, all at once, at the same time, together; नवं पयो यत्र धनैर्मया च त्वद्विप्रयोगाश्रु समं विसृष्टम् R.13.26;4.4;1.59;14.1.
    -6 Honestly, fairly.
    -Comp. -अंशः an equal share. ˚हारिन् m. a co-heir.
    -अङ्घ्रिक a. standing evenly on feet.
    -अन्तः a borderer, neighbour.
    -अन्तर a. parallel.
    -अर्थिन् a.
    1 desiring equality.
    -2 Seeking peace with.
    -आकार a. similar, like.
    -आचारः 1 equal or similar conduct.
    -2 Proper practice.
    -आत्मक a. possessing equanimity.
    -उदकम् a mixture of half butter-milk and half water.
    -उपमा a kind of Upamā or simile.
    -कक्ष a. having equal weight. (
    -क्षा) equilibrium.
    -कन्या a fit or suitable girl (fit to be married).
    -कर्णः an equi-diagonal tetragon.
    -कालः the same time or moment. (
    -लम्) ind. at the same time, simultaneously.
    -कालीन a. contemporary, coeval.
    -कोलः a serpent, snake.
    -कोटिक a. of regular size (said of diamonds); Kau. A.2.11.
    -क्षेत्रम् (in astr.) an epithet of a par- ticular arrangement of the Nakṣatras.
    -खातः an equal excavation, a parallelopipedon.
    -गतिः wind; मृत्युश्चापरिहारवान् समगतिः कालेन विच्छेदिना Mb.12.298.45.
    -गन्धकः incense.
    -गन्धिकम् the fragrant root of the Uśīra.
    -चक्रवालम् a circle.
    -चतुरस्र a. square. (
    -स्रम्) an equilateral tetragon.
    -चतुर्भुजः, -जम् a rhom- bus.
    -चित्त a.
    1 even-minded, equable, equani- mous.
    -2 indifferent.
    -छेद, -छेदन a. having the same denominator.
    -जाति a. homogeneous.
    -ज्ञा fame; तिर्य- ञ्चमप्यञ्च मृषानभिज्ञरसज्ञतोपज्ञसमज्ञमज्ञम् N.3.64.
    -त्रिभुजः, -जम् an equilateral triangle.
    -दर्शन, -दर्शिन् a. viewing equally, impartial; विद्याविनयसंपन्ने ब्राह्मणे गवि हस्तनि । शुनि चैव श्वपाके च पण्डिताः समदर्शिनः ॥ Bg.5.18.
    -दुःख a. feeling for another's woe, sympathising (with another); a fel- low-sufferer; Ku.4.4. ˚सुख a. a companion or part- ner in joy and sorrow; पृष्टा जनेन समदुःखसुखेन बाला Ś.3.1.
    -दृश्, -दृष्टि a. impartial.
    -द्वादशास्रः, -स्रम् an equila- teral dodecagon.
    -द्विभुजः a rhomboid.
    -धर्म a. of equal nature, resembling.
    -धृत a. equal to.
    -पदम् 1 an attitude in shooting.
    -2 a particular posture in sexual union.
    -प्रभ a. having equal splendour; तदण्डमभवद्धैमं सह- स्रांशुसमप्रभम् Ms.1.9.
    -बुद्धि a.
    1 impartial.
    -2 indiffe- rent, stoical.
    -भाव a. having the same nature or pro- perty. (
    -वः) sameness, equability.
    -मण्डलम् (in astr.) the prime vertical line.
    -मय a. of like origin.
    -मात्र a. of the same size or measure.
    -मितिः mean measure.
    -रञ्जित a. tinged.
    -रतः, -रभः a particular mode of sexual enjoyment.
    -रेख a. straight; प्रकृत्या यद्वक्रं तदपि समरेखं नयनयोः Ś.1.9.
    -लम्बः, -म्बम् a trapezoid.
    -लेपनी a bricklayer's instrument for levelling a plane (Mar. करणी).
    -वर्ण a. being of equal caste; समवर्णे द्विजातीनां द्वादशैव व्यतिक्रम Ms.8.269.
    -वर्णः community of caste.
    -वर्तिन् a.
    1 equal-minded, impartial.
    -2 being equidis- tant. (-m.) Yāma, the god of death; शासितारं च पापानां पितॄणां समवर्तिनम् Mb.12.27.35.
    -विभक्त a. divided equ- ally; symmetrical.
    -विषमम् (pl.) level and uneven- ground.
    -वृत्तम् 1 an even metre, i. e. a stanza the lines of which have all the same number of feet.
    -2 see सममण्डल.
    -वृत्ति a. equable, fair. (
    -त्तिः) equanimity.
    -वेधः mean depth.
    -वैषम्यतः ind. owing to partial similarity and partial dissimilarity; अर्थे समवैषम्यतो द्रव्य- कर्मणाम् MS.4.1.21.
    -शोधनम् equal subtraction, i. e. subtraction of the same quantity on both sides of an equation.
    -श्रुति a. (in music) having equal intervals.
    -श्रेणिः a straight line.
    -संधिः peace on equal terms.
    -सुप्तिः f. universal sleep (as at the end of a Kalpa).
    -सूत्र, -सूत्रस्य a. situated on the same diameter.
    -स्थ a.
    1 equal, uniform.
    -2 level.
    -3 like.
    -4 being in flourishing circumstances; गतिः पतिः समस्थाया विषमे च पिता गतिः Mb.5.176.8.
    -स्थलम् an even ground.
    -स्थली the level plain, the Doab or country between the Ganges and Yamunā (अन्तर्वेदि).
    -स्थानम् a parti- cular posture in Yoga (In which the legs are closely contracted).

    Sanskrit-English dictionary > सम _sama

  • 7 सम्मित


    sám-mita
    mfn. measured out, measured, meted BhP. ;

    measuring. so much, just so much (no more nor less) MBh. BhP. ;
    of the same measure orﾠ extent, equal, like, same (in length, height, number, value etc.), corresponding to, resembling, passing for (instr., rarely gen.;
    orﾠ comp.) AV. etc. etc.;
    reaching up to (comp.) ṠBr. ĀṡvṠr. ;
    symmetrical (?) Pañcar. ;
    consisting of. furnished orﾠ provided with (instr. orﾠ comp.) MBh. Pañcar. ;
    destined for (comp.) MBh.; V, 2462 ( B. saṉdhita);
    (am) ind. perpetually, incessantly Kāraṇḍ. (prob. w.r. for samitam);
    m. N. of a mythical being Yājñ. ;
    of a son of Vasishṭha VP. ;
    (am) n. distance (e ifc. = « at a distance from») VarBṛS. ;
    - tva n. (in rhet.) universal analogy Pratāp. ;
    - varṇā f. N. of a Commentary
    sam-mita
    etc. seeﾠ above

    Sanskrit-English dictionary > सम्मित

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