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SIPPAR · PALEOBABYLONIAN PERIOD · SURVEYING

Si.427 tablet

The geometry that separated two fields

Before it was a classroom exercise, a right angle could help set a property boundary.

Museum documentation · free public access, no account required.

PHOTOGRAPH OF THE ORIGINAL · İstanbul Arkeoloji Müzeleri · CC BY-SA 4.0

Documentary original · Exact correspondence

Documentary photograph of the original or the exact site.

Osama Shukir Muhammed Amin FRCP(Glasg) / Wikimedia Commons · Istanbul Arkeoloji Müzeleri · Inventory: Ist Si 0427 · CC BY-SA 4.0

Tablet Si.427 from Sippar with a plot of land and inscriptions; photograph of the original in Istanbul.
PHOTOGRAPH OF THE ORIGINAL · İstanbul Arkeoloji Müzeleri · CC BY-SA 4.0

Documentary original · Exact correspondence

Documentary photograph of the original or the exact site.

Osama Shukir Muhammed Amin FRCP(Glasg) / Wikimedia Commons · Istanbul Arkeoloji Müzeleri · Inventory: Ist Si 0427 · CC BY-SA 4.0

History and context

A plot changes hands; Drawing a line is not enough if the parties cannot recognize it on the ground. Si.427 combines a plan, measurements, and cuneiform writing to record the division and sale of a field. It is a Old Babylonian tablet from Sippar, not a Sumerian piece from the 3rd millennium. It is included here as a Mesopotamian continuation of the history of measuring and managing. Vincent Scheil excavated it in 1894; its modern study was not a new archaeological discovery.

Daniel Mansfield interprets its dimensions through relations between sides and diagonals equivalent to 5–12–13 and 8–15–17, useful for constructing right angles. Sexagesimal numbering allows us to approach this calculation without our modern notations. His proposal relates this surveying to Plimpton's numerical lists 322, but recognizes that the link is not definitive. What is amazing is the precision of a solution for an everyday need; Calling it 'trigonometry' requires explaining that interpretation, not simply attributing sines, cosines or the later Greek system to it.

Evidence and interpretation

CDLI identifies Ist Si 0427 / P128359, clay, Akkadian, Sippar and excavation of 1894; Mark the assignment to period 1900–1600 as uncertain BCE. Mansfield studies perpendiculars in 2020 and develops his interpretation of Plimpton 322 in 2021. An old cadastral document is not a modern alphanumeric 'cadastral reference'.

Catalogue facts

Date
Towards 1900–1600 BCE · paleobabylonian; uncertain chronological attribution in CDLI
Location
Sippar-Yahrurum · Tell Abu Habbah, present-day Iraq
Inventory
Ist Si 0427 · CDLI P128359
Support and language
Clay tablet · Akkadian in cuneiform script
Find context
Vincent Scheil excavation · 1894
Calculation
Base 60; interpretation using relations 5–12–13 and 8–15–17
Plimpton 322
Another tablet: its reading as a surveying tool is a research proposal, not a conclusively demonstrated function.

A SHARED TOPIC, DIFFERENT MOMENTS

Objects connected through time

Follow a topic across the collections. A shared tag is a way to compare objects, not proof that one culture influenced another.

The order uses the midpoint of each approximate date range; ranges can overlap. Spacing does not represent elapsed time. Swipe, scroll or use the arrows. With the sequence focused, use ← / →, Home or End.

Clay32 dated objects

21 / 32In the centre: Si.427 tablet

Also connected, without a comparable date (8)

These objects are not placed after the others: an unknown date does not mean a more recent object.

A closer look

About 1 min to read · 1 section. Further reading and sources · free access. Editorial review recorded: .

The investigation began in an old record

Mansfield arrived at Si.427 by following excavation references to a collection described by the former name of the Imperial Museum of Constantinople. A photograph received in 2018 allowed her to be located and the examination in Istanbul was carried out in 2019. This trajectory distinguishes the physical survival of a piece from its scientific recognition. The document had been preserved for decades; What was new was asking a mathematical question and examining his layouts with it. The archives and collections were as decisive as the original archaeological find.

Location and territory

Physical world map with routes of human evolutionPresent-day world coastline from Natural Earth in an equirectangular projection. The overlaid markers let you explore each milestone.Map base: Natural Earth 1:110m · public domain · present-day reference coastline

APPROXIMATE LOCATION

Sippar · Tell Abu Habbah, IraqDeposit identified by CDLI for Si.427; does not represent the exact boundaries of the drawn plot.

Where it is held

İstanbul Arkeoloji Müzeleri collection of the Ancient East

Item or group in the record · Documented collection

Istanbul · inventory Ist Si 0427, contrasted in CDLI P128359.

The holding institution is documented; public display may change. Check its official record before visiting.

Sources and references

Consult the documentation for this part

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