Who can find the story of Shen Kuo counting jars?

The jars and pieces piled up in the hotel are like an upside-down bucket, much like a truncated rectangular cone (a straw boy). However, the edge of notch product is uneven and there is a notch in the middle, so Chu Tong's volume formula cannot be copied. After thinking, Shen Kuo found the correct calculation method. He took the piled jars as an example to illustrate this problem: the top floor was set with two jars vertically and horizontally, and the bottom floor was set with two jars vertically and horizontally 12, and the vertical and horizontal difference between two adjacent floors was 1 jar. Obviously, this pile of cans has *** 1 1 layer; The volume of each jar may be set to 1, and the total volume is 3784/6, and the total number of jars should be the same. Obviously, the number of cans should not be non-integer. What's the problem? Shen Kuo proposed that the volume of straw boy plus "(lower width-upper width) × height /6" is116, and the actual number of cylinders should be (3784 1 10)/6=649. This added item is only a volume correction item. Here, on the basis of the volume formula, Shen Kuo changed the cumulative number of discontinuous individuals (summation of series) into a continuous integer to solve, which shows his idea of using a continuous model to solve discrete problems.