βαθμός

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προγράψαντες οὖν τά τε θεωρήματα καὶ τὰ ἐπιτάγματα τὰ χρεῖαν ἔχοντα εἰς τὰς ἀποδείξιας αὐτῶν μετὰ ταῦτα γραψοῦμές τοι τὰ προκείμενα → having therefore written at the beginning the theorems and the postulates that are necessary for their proofs, we will then write out for you the propositions

Source
Click links below for lookup in third sources:
Full diacritics: βαθμός Medium diacritics: βαθμός Low diacritics: βαθμός Capitals: ΒΑΘΜΟΣ
Transliteration A: bathmós Transliteration B: bathmos Transliteration C: vathmos Beta Code: baqmo/s

English (LSJ)

or βασμός, ὁ, (βαίνω)

   A step, threshold, LXX IKi.5.5, [S.]Fr.1127; degree on the dial, LXX 4 Ki.20.9 sq.; fifteen degrees of the zodiac, Vett.Val.31.2; interval in a musical scale, Iamb.VP26.120.    2 rung of a ladder, Luc.Trag.221.    3 base or plinth of a tower, GDI5524.10 (Cyzicus).    II metaph., step, degree in rank (οἱ β. κλίμακος προκοπὴν σημαίνουσι Artem.2.42), 1 Ep.Ti.3.13, Procop.Arc.24, Lyd.Mag.2.8, al.; οἱ τᾶς ἀξίας βάσμοι IG12(2).243.16 (Mytil.); simply, degree, τολμημάτων βαθμοί J.BJ4.3.10; ὥσπερ ἡδονῆς κλίμακα συμπηξάμενος ἔρως πρῶτον ἔχει β. ὄψεως Luc.Am.53; step in an argument, Simp.in Cael.718.35; of a genealogy, ἀπωτέρω δυοῖν β. two steps farther back, i.e. farther back than one's grandfather, D.Chr.41.6.    III tax paid on stairs, POxy.574 (ii A. D.): acc. to Phryn.296, Moer.97, βαθμός is Ion., βασμός Att., but βασμός occurs GDI5524.10 (Cyzic.), Jahresh.3.55 (Scepsis).

German (Pape)

[Seite 423] ὁ, 1) Stufe, Tritt, Schwelle, Soph. frg. 708; bes. Sp., z. B. Plut. Rom. 20. – 2) Ehrenstufen, K. S. – 3) Schritt, Gang, Dio Chr.

French (Bailly abrégé)

οῦ (ὁ) :
degré.
Étymologie: R. Βα, marcher ; pour le suff. -θμος, cf. πορθμός, ἰσθμός.

Spanish (DGE)

-ου, ὁ

• Alolema(s): βασμός Luc.Trag.221, Phryn.295, Moer.90, Hsch.
I 1peldaño de una escalera, Luc.l.c., Artem.2.42, Hierocl.Facet.93
fig. grado de progreso o retroceso en la vida intelectual y espiritual, Plu.Rom.20, Eus.DE 1.6, Olymp.in Alc.129, Marin.Procl.22, de audacia, I.BI 4.171, de parentesco, Basil.M.31.1389C, PMasp.169.10 (VI d.C.), ref. a las generaciones en una genealogía D.Chr.41.6.
2 umbral LXX 1Re.5.5.
3 cien. grado del reloj de sol, LXX 4Re.20.10
astr. equivalente a quince grados del zodíaco, Vett.Val.30.4
mús. intervalo en la escala musical, Iambl.VP 120.
4 medic. cavidad τοῦ πήχεος Gal.18(2).860.
II fig. puesto, dignidad, rango en una escala de honores, en el gobierno, en la iglesia, etc. Sitz.Wien.265(1).1969.12.67 (Lidia I d.C.), 1Ep.Ti.3.13, Eus.HE 8.5, Basil.M.31.648A, 32.668A, Procop.Arc.24
profesión ἐπὶ τῶν οἰκείων βαθμῶν μένειν Olymp.in Grg.6.11.

• Etimología: v. βαίνω.

English (Abbott-Smith)

βαθμός, -οῦ, ὁ, Ion. form of βασμός (< βαίνω, to step), [in LXX I Ki 5:5 (מִפְתָּן), IV Ki 20:9, 10 11 (מַעֲלָה), Si 6:36*;]
a step (IV Ki, l.c., of degrees of a dial); metaph., a degree, standing: I Ti 3:13.†

English (Strong)

from the same as βάθος; a step, i.e. (figuratively) grade (of dignity): degree.