Babylonian mathematics in the context of "Isosceles triangle"

The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for taxation, commerce, trade, and in astronomy, to record time and formulate calendars.

The earliest mathematical texts available are from Mesopotamia and Egypt – Plimpton 322 (Babylonian c. 2000 – 1900 BC), the Rhind Mathematical Papyrus (Egyptian c. 1800 BC) and the Moscow Mathematical Papyrus (Egyptian c. 1890 BC). All these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical development, after basic arithmetic and geometry.

Larsa (Sumerian: 𒌓𒀕𒆠, romanized: UD.UNUG, read Larsam), also referred to as Larancha/Laranchon (Gk. Λαραγχων) by Berossos and connected with the biblical Ellasar, was an important city-state of ancient Sumer, the center of the cult of the sun god Utu with his temple E-babbar. It lies some 25 km (16 mi) southeast of Uruk in Iraq's Dhi Qar Governorate, near the east bank of the Shatt-en-Nil canal at the site of the modern settlement Tell as-Senkereh or Sankarah.

Larsa is thought to be the source of a number of tablets involving Babylonian mathematics, including the Plimpton 322 tablet that contains patterns of Pythagorean triples.

Iraq, a country located in West Asia, largely coincides with the ancient region of Mesopotamia, often referred to as the cradle of civilization. The history of Mesopotamia extends back to the Lower Paleolithic period, with significant developments continuing through the establishment of the Caliphate in the late 7th century AD, after which the region became known as Iraq. Within its borders lies the ancient land of Sumer, which emerged between 6000 and 5000 BC during the Neolithic Ubaid period. Sumer is recognized as the world's earliest civilization, marking the beginning of urban development, written language, and monumental architecture. Iraq's territory also includes the heartlands of the Akkadian, Neo-Sumerian, Babylonian, Neo-Assyrian, and Neo-Babylonian empires, which dominated Mesopotamia and much of the Ancient Near East during the Bronze and Iron Ages.

Iraq was a center of innovation in antiquity, producing early written languages, literary works, and significant advancements in astronomy, mathematics, law, and philosophy. This era of indigenous rule ended in 539 BC when the Neo-Babylonian Empire was conquered by the Achaemenid Empire under Cyrus the Great, who declared himself the "King of Babylon." The city of Babylon, the ancient seat of Babylonian power, became one of the key capitals of the Achaemenid Empire.