Babylonian Astronomy/Geometry Discovery...
Posted: Thu Feb 04, 2016 5:09 pm
Ancient astronomers were tracking planets using maths previously believed to have first appeared in 14th-century Europe...
"The written record gives instructions for estimating the area under a curve by finding the area of trapezoids drawn underneath. Using those calculations, the tablet shows how to find the distance Jupiter has traveled in a given interval of time. Until now, this kind of use of trapezoids wasn't known to exist before the 14th century.
"What they are doing is applying it to astronomy in a totally new way," Ossendrijver says. "The trapezoid figure is not in real space and doesn't describe a field or a garden, it describes an object in mathematical space—velocity against time."
Scholars already knew that Babylonians could find the area of a trapezoid, and that they were quite familiar with the motions of planets and the moon. Previous records show that they used basic arithmetic—addition, subtraction, multiplication and division—to track these celestial bodies.
The tablet "testifies to the revolutionary brilliance of the unknown Mesopotamian scholars who constructed Babylonian mathematical astronomy during the second half of the first millennium B.C.," says Alexander Jones, a professor of the history of the exact sciences in antiquity at New York University.
Mathieu Ossendrijver of Humboldt University in Berlin found the tablet while combing through the collections at the British Museum.
The written record gives instructions for estimating the area under a curve by finding the area of trapezoids drawn underneath. Using those calculations, the tablet shows how to find the distance Jupiter has traveled in a given interval of time. Until now, this kind of use of trapezoids wasn't known to exist before the 14th century..."
http://www.smithsonianmag.com/science-n ... EbzZkkv.99
"The written record gives instructions for estimating the area under a curve by finding the area of trapezoids drawn underneath. Using those calculations, the tablet shows how to find the distance Jupiter has traveled in a given interval of time. Until now, this kind of use of trapezoids wasn't known to exist before the 14th century.
"What they are doing is applying it to astronomy in a totally new way," Ossendrijver says. "The trapezoid figure is not in real space and doesn't describe a field or a garden, it describes an object in mathematical space—velocity against time."
Scholars already knew that Babylonians could find the area of a trapezoid, and that they were quite familiar with the motions of planets and the moon. Previous records show that they used basic arithmetic—addition, subtraction, multiplication and division—to track these celestial bodies.
The tablet "testifies to the revolutionary brilliance of the unknown Mesopotamian scholars who constructed Babylonian mathematical astronomy during the second half of the first millennium B.C.," says Alexander Jones, a professor of the history of the exact sciences in antiquity at New York University.
Mathieu Ossendrijver of Humboldt University in Berlin found the tablet while combing through the collections at the British Museum.
The written record gives instructions for estimating the area under a curve by finding the area of trapezoids drawn underneath. Using those calculations, the tablet shows how to find the distance Jupiter has traveled in a given interval of time. Until now, this kind of use of trapezoids wasn't known to exist before the 14th century..."
http://www.smithsonianmag.com/science-n ... EbzZkkv.99