Ancient mathematics stories, what are the mathematical stories

Dido Enclosure

Tian Ji horse racing. Cao Chong called the elephant.

D refers to construction. In ancient China, there is a story of construction, which also contains operations research.

thoughts. Legend Song Zhenzong.

During his reign, the palace was **. Overnight, a large area of palaces, buildings, palaces, pavilions and pavilions were reduced to ruins. In order to restore these palaces, the Song Zhen sect sent the then Jin state.

Gong Ding is said to be in charge of the repair project. At that time, there were three major problems to complete this major construction project: first, a large amount of rubble needed to be removed; second, to bring in large quantities of timber and stone; Third, a large amount of new soil must be brought in.

Whether it's taking away garbage or bringing in building materials and new soil, there are a lot of transportation issues involved. If it is not arranged properly, the construction site will be disorganized, and the normal traffic and living order will be seriously affected.

After studying the project, Ding Wei formulated such a construction plan.

First of all, a number of large deep ditches were dug outward from the construction site, and the excavated soil was used as the new soil needed for construction, so the problem of new soil was solved. In the second step, the water is brought into the ditch dug from outside the city, so that the timber and stone can be transported by wooden rafts and boats, which solves the problem of transporting timber and stone. Finally, after the material transportation task is completed, the water in the ditch is drained, and the garbage on the construction site is filled into the ditch, so that the ditch is leveled again.

To sum it up, it is such a process: digging a ditch (taking soil), diverting water into a ditch (waterway transportation), filling a ditch (disposing of garbage).

According to this construction plan, it not only saves a lot of time and money, but also makes the construction site orderly, so that the traffic and living order in the city are not greatly affected by the construction, so it is indeed a very scientific construction plan.

Thales saw that people were looking at the signs, so he went up to look. Originally, the notice stated that Pharaoh was looking for the wisest man in the world to measure the height of the pyramid. So he went to Pharaoh.

Pharaoh asked Thales what tools he used to measure the pyramids. Thales said that he used only a stick and a ruler, and he stuck the stick next to the pyramid, and when the shadow of the stick was as long as the stick, he measured the length of the shadow of the pyramid and half the length of the bottom side of the pyramid. Add these two lengths together to get the height of the pyramid.

Thales was the smartest man in the world, and he easily measured the height of the pyramid without having to climb to the top of it.

During the Warring States Period, King Qi Wei and the general Tian Ji raced horses, and King Qi Wei and Tian Ji each had three good horses: the upper horse, the middle horse and the dismounted horse race were divided into three times, and each horse was gambled with a thousand gold. Since the horsepower of the two is almost the same, and King Qi Wei's horse is better than Tian Ji's corresponding level of horse, so most people think that Tian Ji will definitely lose.

However, Tian Ji took the opinion of the disciple Sun Spleen (a famous military strategist), and used the dismount to the upper horse of King Qi Wei, the upper horse to the middle horse of King Qi Wei, and the middle horse to the dismount of King Qi Wei, and as a result, Tian Ji defeated King Qi Wei 2-1 and won a thousand gold. This is an example of China's ancient application of the idea of countermeasures to solve problems.