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Trismegistos 64891 = LDAB 6130 = michigan.apis.1737



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Canonical URI: http://papyri.info/dclp/64891

DCLP/LDAB Data [xml]

Title Mathematical tables + sententia
Principal Edition 62751. Peter Van Minnen, "A Schooltablet in the University of Michigan Collection.," ZPE, 93 (1992), pp. 209-211. http://www.jstor.org/stable/20188765
catalogue 14384. Raffaella Cribiore, Writing, Teachers, and Students in Graeco-Roman Egypt., (Atlanta, Georgia 1996). 158 descr.
study
  • - 69786. Giuseppina Azzarello, "ἔμψηφος in Divisionstabellen?," ZPE, 135 (2001), pp. 169-171.
  • - 84725. Funghi ed., Corpus dei Papiri filosofici greci e latini (CPF). Testi e lessico nei papiri di cultura greca e latina. Parte II.2: Sentenze di autori noti e ""chreiai"", (Firenze 2015). 160-161
  • - 20580. Carlo Pernigotti, Menandri Sententiae., (Firenze 2008). 889 48
Reference Edition 14993. Hans-Albert Rupprecht and Joachim Hengstl eds., Sammelbuch Griechischer Urkunden aus Ägypten. Zwanzigster Band (Nr. 14069-15202)., (Wiesbaden 1997). 15190
Catalog(s) MP3 02704.870
Fragments Ann Arbor, Michigan University, Kelsey Museum 29974
Support Material wood
Support Dimensions 32cm wide x 8.7cm high
Date 400 - 599
More from the period between 400 CE and 599 CE
Origin Fundort: Egypt; Schreibort: Egypt
More from Fundort: Egypt; Schreibort: Egypt
Form and Layout wood sheet (columns: 5, pagination: 0)
Genre mathematics; wisdom
Culture science; literature
Religion classical
Images quod.lib.umich.edu/.../x-1737
Print Illustrations ZPE 93, pl.VIII-IX
Availability © Digital Corpus of Literary Papyri. This work is licensed under a Creative Commons Attribution 3.0 License .

Trismegistos: 64891 [source]

Publications ZPE 93 (1992), p. 209-211 (1992) = SB 20 15190 (1997) = Pernigotti, Menandri Sententiae p. 48 & no. *889 [29974] (2008) = Corpus dei papiri filosofici (CPF) 2.2 p. 160-161 [MS 19] (2015)
Inv. no. Ann Arbor, Michigan University, Kelsey Museum 29974
Date AD 400 - 599
Language Greek
Provenance Egypt[found & written]

Catalog Record: michigan.apis.1737 [xml]

Title School tablet
Author Unknown; subliterary; mathematics; maxim
Summary On the one side it contains a table of the simplest of fractions (1/2) and an equally simple multiplication table (2). On the other side an iambic often found on schooltablets is written.;The outer side of the tablet, which originally was the back cover of a book of tablets, is;used for the mathematical tables, which are written along the width of the tablet. This side;was coated with a white layer that has partly come off. Because of that the text is sometimes;barely legible. Four simple vertical lines are used to divide the five columns of text. Another;such line follows the fifth column. Within the text horizontal lines are used to divide certain;portions of text. This is the case between column I 2 and 3, column III 8 and 9, column III;10 and 11 and between the items in the multiplication table at the end of column III. There is;also a vertical line separating the juxtaposed items there.;The inner side of the tablet is used for the maxim, which is written perpendicularly to the;text on the outer side. The coating on this side of the tablet is very well preserved. In this;coating a rectangle was ruled about 1 cm from the lower and right edges of the tablet and;about 1.5 cm from the upper and left edges. This seems to imitate the raised frame of a waxed;tablet. In addition, 20 horizontal lines were ruled in the coating. The first line starts 6 cm be-low;the upper line of the rectangular frame. This leaves a field of 14 x 6 cm into which the;maxim was written. The tail of the rho of "grammata" is written over the first line.
Citations van Minnen P, ZPE 93, 209-211, 1992, Pl. VIII, IX -- SB XX 15190
SB:20:15190
Inv. Id P.Mich. inv. 29974
Support/Dimensions Wood ; a: 32 x 8.7 cm; b: 32 x 8.3 cm
Condition The tablet is broken in two pieces along the grain of the wood
Lines outer text: col. I: 13 lines; col. II: 17 lines; col. III: 8 lines: col. IV: 6 lines; col. V: 6 lines; 2 lines below col. III-IV; 3 lines at the bottom end of col. III; two lines at the bottom end of col IV
Recto/Verso Source of description: Recto + Verso (outer-inner)
Hands The tablet is about 0.8 cm. thick. In the middle of the left side of the tablet (seen from the;inner side) two holes have been pierced which exit on the inner side of the tablet through the;left rim of the frame. Thus, there are no holes on the outer side. The wholes, which formed;the channel for the binding, are at a distance of 4.5 cm. from each other.
Origin Unknown
More from Unknown
Language Greek
Date Vth-VIth century A.D.
More from the period between 400 CE and 599 CE
Note (general) Location: Ann Arbor
Note (general) Pub. status: Recto + Verso (outer-inner)
Subjects Literary; Wooden Tablet
Images Recto thumbnail
Images Recto medium
Images Recto large
Images Verso thumbnail
Images Verso medium
Images Verso large
License Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 License.

DCLP transcription: 64891 [xml]

side outer

column i
τὸ 𐅵´ ἐν ψήφων
τῆς μιᾶς τὸ 𐅵̣´, 𐅵´ •
τῶν β, α
τ̣ῶ̣ν̣ γ, α 𐅵´
5τ̣ῶ̣ν̣ δ, β
τ̣ῶ̣ν ε, β 𐅵´
τῶν ϛ, γ
τῶν ζ̣, γ 𐅵̣´
τ̣ῶ̣ν̣ η̣, δ
10τῶν θ, δ 𐅵´
τῶν ι̣, ε
τῶ̣ν̣ κ̣, ι
τ̣ῶ̣ν̣ λ̣, ιε column ii
τῶν μ, κ
τῶν ν, κε
τῶν ξ, λ
τῶν ο, λε
5τῶν π, μ
τῶν ϙ, με
τῶν ρ, ν
τῶν̣ σ̣, ρ
τῶ̣ν̣ τ̣, ρ̣ν
10τῶν υ, σ
τῶν φ, σν
τῶν χ, τ
τῶν ψ, τν
τῶν̣ ω̣, υ̣
15τ̣ῶ̣ν̣ Ϡ̣, υ̣ν̣
τῶν̣ Α̣, φ
τ̣ῶ̣ν̣ Β, Α̣ column iii
τῶν Γ, Αφ
τ̣ῶ̣ν̣ Δ, Β
τῶν Ε, Βφ
τῶν Ϛ, Γ
5τῶν Ζ, Γ̣φ
τῶν Η, Δ̣
τῶν Θ̣, Δ̣φ̣
τῶν (μυριὰς) α̣, Ε
πολυπλασιασμός
10ἅπαξ α̣, α
β α, β
β β, δ̣
β γ̣, ϛ̣ column iiia
β δ, η
[δ] β̣, η̣ column iv
β ε, ι
ε β, ι
β̣ ϛ̣, ιβ
ϛ̣ β̣, ιβ
5β ζ̣, ιδ
ζ̣ β, ιδ column v
β η, ιϛ
η β, ιϛ
β θ, ιη
θ β, ιη
5β ι, κ
ι β, κ side inner
ἀρχὴ μεγίστη
τοῦ φρονεῖν τὰ
γράμματα

Editorial History; All History; (detailed)

Creative Commons License © Duke Databank of Documentary Papyri. This work is licensed under a Creative Commons Attribution 3.0 License.

Notes

  • 16-iii 8.

    The thousands are indicated with a diagonal tick at lower-left of the digit.

  • 1-2.

    These two lines lie next to lines 11 and 12 of column iii.

APIS Translation (English)

Outer side: ;Col. I;One half in the table of numbers;the half of 1: half;of 2: 1;of 3: 1 1/2;of 4: 2;of 5: 2 1/2;of 6: 3;of 7: 3 1/2;of 8: 4;of 9: 4 1/2;of 10: 5;of 20: 10;of 30: 15;Col. II;of 40: 20;of 50: 25;of 60: 30;of 70: 35;of 80: 40;of 90: 45;of 100: 50;of 200: 100;of 300: 150;of 400: 200;of 500: 250;of 600: 300;of 700: 350;of 800: 400;of 900: 450;of 1000: 500;of 2000: 1000;Col. III;of 3000: 1500;of 4000: 2000;of 5000: 2500;of 6000: 3000;of 7000: 3500;of 8000: 4000;of 9000: 45000;of 10000: 5000;below col. III-IV;Multiplication;one time 1: a;two times 2: 4;wo times 3: 6;two times 4: 8;four times 2: 8;Col. IV;two times 5: 10;five times 2: 10;two times 6: 12;six times 2: 12;two times 7: 14;seven times 2: 14;Col. V;two times 8: 16;8 times 2: 16;two times 9: 18;nine times 2: 18;two times 10: 20;ten times 2: 20;;Inner side: ;Literacy is the most important source of knowledge