Part of the situation in this area is recorded in Zhang.
The volume part, except the formula of sphere volume, is recorded in Chapter 5 "Shang Zhang" of this book.
In the real material world, human beings have gradually developed the concepts of shape, size (measurement) and the relationship between figures, which can be said to be the source of geometry. There is no doubt that ancient civilized countries have created their own unique geometry more or less. Therefore, the theory that geometry originated from the Nile flooding in ancient Egypt to measure land is simply a myth that can't stand the challenge. In fact, in ancient China, for example, as early as the Neolithic agricultural era (about 4000 ~ 3500 BC), there were rectangular, square and circular housing bases (found in the site of Xi 'an Banpo), which is the understanding and mastery of "shape". Furthermore, we also found many geometric patterns from Zhou Tao and Han brick, which fully explained our ancestors' understanding of the relationship between geometric patterns; As for the development of the formula of graphic area and volume (size measurement), it can also be traced back to the Spring and Autumn Period and the Warring States Period. This is because the taxation of private land needs to measure the area, and the calculation of civil buildings and containers also involves the concept of volume.
However, although China, Babylonia, Egypt and other ancient civilizations contributed formulas and theories of area and volume to a certain extent, and each had quite rich geometric patterns, only one ancient Greek paid attention to the essence of "form", even the relationship between form and form. These achievements are summarized in Euclid's classic book Elements of Geometry. In this book, Euclid sorted out the geometric knowledge known in ancient Greece at that time (about the third century BC) (including learning from the ancient Egyptians and Babylonians) and gave it an abstract concept. Then, based on ten axioms, he established a set of logical geometry system.
Therefore, China's geometry is there, but modern people use a generalized western formula;
In a word, the geometric formula is an upgraded version of China ancient geometry ~ ~