An ancient Greek treatise on magic squares /
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| Main Author: | |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English Arabic |
| Published: |
Stuttgart :
Franz Steiner Verlag,
[2020]
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| Series: | Boethius (Series) ;
Bd. 72. Wissenschaftsgeschichte (Franz Steiner Verlag) |
| Subjects: | |
| Online Access: | Connect to this title online (unlimited simultaneous users allowed; 325 uses per year) |
Table of Contents:
- Machine generated contents note: I. General notions on magic squares
- Note on the history of magic squares
- II. ancient work preserved
- A. Manuscripts
- Manuscript A
- Manuscript D
- B. Brief survey of the treatise
- III. Text and translation
- Introduction
- Bordered odd-order squares
- Examples
- Bordered odd-order squares with separation by parity
- Placing the odd numbers
- Placing the even numbers
- Square of order 5
- Squares of orders n = 4t + 1, t < 1
- Squares of orders n = 4t + 3
- Examples
- Bordered even-order squares
- Square of order 4
- Bordered squares of orders n = 4k + 2
- Bordered squares of orders n = 4k
- Examples
- Composite even-order squares
- Theory
- Examples
- Division into equal subsquares
- Division into unequal parts
- Cross in the middle
- IV. General commentary
- Introduction
- Construction of odd-order bordered squares
- Odd-order bordered squares with separation by parity
- A. Placing the odd numbers
- B. Placing the even numbers
- C. Completing the squares for the three order types
- Square of order 5
- Squares of orders n = 4t + 1, t < 1
- Squares of orders n = 4t + 3
- Construction of even-order bordered squares
- Square of order 4
- A. Bordered squares of evenly-odd orders (n = 4k + 2)
- B. Bordered squares of evenly-even orders (n = 4k)
- Construction of even-order composite squares
- A. Division into equal subsquares
- B. Division into unequal parts
- C. Cross in the middle.