What are the Nine Chapters? - A Math Book from Ancient China
Welcome to Quatr.us Study Guides!

# Nine Chapters

The earliest Chinese mathematical textbook is called the Nine Chapters. It seems to have been written near the end of the Han Dynasty, about 200 AD. It's a book of problems that teachers could give to their students, with the answers, and general rules about how to solve the problems.

The first three chapters were about how to do surveying and engineering, or city planning and laying out fields. Here students learned how to figure out the area of a triangle, a rectangle, a circle, or a trapezoid (the book took the value of pi to be 3, rather than 3.14 etc.). They also learned how to calculate the area of a segment of a circle. There were also problems in adding, subtracting, multiplying and dividing fractions. Students learned how to figure out percentages and how to calculate the weight of a certain amount of rice.

Chapters four to six were about how to figure out taxes and for the government to figure out budgets. There were problems about finding the sides of figures when the area and one side is known, and how to calculate square and cube roots. This part showed how to figure out the volumes of cylinders, pyramids, and so on.

The last three chapters were about how to figure out the answers to less specific problems. These dealt with how to solve problems involving more than one equation (we might call this algebra), and the principles of right angled triangles.

Science in Ancient China, by George Beshore (1998). .

The Joy of Pi, by David Blatner (1999). It's not all about ancient China, but some of it is. For teenagers.

Ancient China: 2,000 Years of Mystery and Adventure to Unlock and Discover (Treasure Chest), by Chao-Hui Jenny Liu (1996). Lots of activities , including a Chinese calligraphy set.

## More about Chinese mathematicsIndian mathematicsAncient ChinaQuatr.us home

Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram, Pinterest, or Twitter, or buy her book, Vandals to Visigoths.
Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram or Twitter, or buy her book, Vandals to Visigoths.
Check out our new ebook: Short and Simple: Ancient Greek Myths! - just out! Twenty-five easy to read, illustrated stories, from Pandora to Medea, Icarus, and the Trojan Horse (you can read these online as samples). Get it this week for just \$14.99, five dollars off the regular price of \$19.99.
• Author: K.E. Carr
• Title:
• Site Name: Quatr.us Study Guides
• Publisher: Quatr.us
• Date Published:
Did you find what you needed? Ask your teacher to link to this page so other people can use it too! Send it in and win a Quatr.us "Great Page!" award!