The Berlin Papyrus 6619, commonly known as the Berlin Papyrus, is an ancient Egyptian papyrus document from the Middle Kingdom, second half of the 12th or 13th dynasty. The two readable fragments were published by Hans Schack-Schackenburg in 1900 and 1902.
The papyrus is one of the primary sources of ancient Egyptian mathematical.
The Berlin Papyrus contains two problems, the first stated as "the area of a square of 100 is equal to that of two smaller squares. The side of one is ½ + ¼ the side of the other." The interest in the question may suggest some knowledge of the Pythagorean theorem, though the papyrus only shows a straightforward solution to a single second degree equations in one unknown. In modern terms, the simultaneous equations x2 + y2 = 100 and x = (3/4)y reduce to the single equation in y: ((3/4)y)2 + y2 = 100, giving the solution y = 8 and x = 6.
- Lumpkin, Beatrice, The Mathematical Legacy of Ancient Egypt - A Response to Robert Palter, 2004. National Science Foundation. p17
- Corinna Rossi, Architecture and Mathematics in Ancient Egypt, Cambridge University Press 2004, p.217
- Marshall Clagett, Ancient Egyptian Science, Vol 3, 1999 , p.249.
- Schack-Schackenburg, Hans (1900), "Der Berliner Papyrus 6619", Zeitschrift für ägyptische Sprache und Altertumskunde (in German) 38: 135–140 (vol. 36-39, pages 506-514),
Schack-Schackenburg, Hans (1902), "Das kleinere Fragment des Berliner Papyrus 6619", Zeitschrift für ägyptische Sprache und Altertumskunde (in German) 40: 65–66.
- Williams, Scott, Egyptian Mathematical Papyri, SUNY-Buffalo
- Richard J. Gillings, Mathematics in the Time of the Pharaohs, Dover, New York, 1982, 161.