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BBC Reel calls the clay tablet Plimpton 322 one of the ancient world’s most sophisticated mathematical pieces. It preserves Mesopotamian Pythagorean triples at a depth, the presenter says, that scholars did not expect. The pattern was identified in 1945, and study has been intense since. Usual histories begin geometry with Greek astronomers watching the sky. A thousand years earlier, Babylonian surveyors already used right triangles, aimed at the ground rather than the stars. They lacked, in this account, the later general theorem. They knew many exact cases, now called Pythagorean triples, with lengths easy to handle. Tablet Si 427 shows the setting was boundary work. Plimpton 322 fits the same need. Rectangles were generated and kept when their sides were regular, a practical matter once private owners fought over fields and date palms. Thousands of clay tablets from Babylonian cities, buried in what is now Iraq, brought that work into museums. More unread pieces, the film expects, will surprise readers because those writers understood the world differently. The subject is mathematics and surveying.
Key points
- Plimpton 322 is presented as a highly sophisticated ancient tablet of Pythagorean triples.
- The film says its triples were recognized in 1945 and that the tablet has been studied heavily since.
- Babylonian surveyors, a thousand years before Greek astronomers, used many exact right triangle cases on the ground.
- Tablet Si 427 is read as evidence that the mathematics served boundary making.
- Private land and disputes are offered as the reason surveying, and this tablet work, grew more exact.
Short quotes
This tablet, Si 427, shows us that the application is actually surveying.
BBC Global, Babylonian geometry tablets
The presenter ties a second tablet to land boundaries rather than to abstract theory. Watch at 2:15
Video by BBC Global. Watch on YouTube.