"Ancient Babylonian astronomers calculated Jupiter’s position from the area under a time-velocity graph" / Mathieu Ossendrijver
Abstract
The
 idea of computing a body’s 
displacement as an area in time-velocity 
space is usually traced back to 14th-century Europe. I show that in four
 ancient Babylonian cuneiform tablets, Jupiter’s displacement along the 
ecliptic is computed as the area of a trapezoidal figure obtained by 
drawing its daily displacement against time. This interpretation is 
prompted by a newly discovered tablet on which the same computation is 
presented in an equivalent arithmetical formulation. The tablets date 
from 350 to 50 BCE. The trapezoid procedures offer the first evidence 
for the use of geometrical methods in Babylonian mathematical astronomy,
 which was thus far viewed as operating exclusively with arithmetical 
concepts.
BBC Report
Previously, the origins of this technique had been traced to the 14th Century.
The new study is published in Science.
Its author, Prof Mathieu Ossendrijver, from the Humboldt University of Berlin, Germany, said: "I wasn't expecting this. It is completely fundamental to physics, and all branches of science use this method."
For the rest of the BBC report, see:

