Traditional Culture Encyclopedia - Traditional stories - The abacus is a traditional calculation tool in China. How did the ancients calculate the square root with an abacus?

The abacus is a traditional calculation tool in China. How did the ancients calculate the square root with an abacus?

You can do square root operation with an abacus. When we use an abacus to add, subtract, multiply, divide and square. According to some formulas, it can only be directly molded. If it can be decomposed, it can be decomposed, and the factor can be calculated. Generally, there are semi-leveling method, product difference leveling method, formula leveling method and multiplication leveling method in abacus calculation. There are three kinds of root-opening method and over-opening commercial method when prescribing. There are many ways to open the fifth power. The common method is to multiply by the fifth power. Abacus rarely uses higher powers. Abacus calculation is similar to manual calculation. What can be done by manual calculation can also be done by abacus calculation. However, generally speaking, the flattening method itself is more complicated, so the scope of application is not large.

Abacus can do addition, subtraction, multiplication, division, sum of squares and multiplication. The power of the abacus can be directly multiplied or calculated according to a formula. If the higher power is mass, it can only be multiplied directly. If the factor can be decomposed, decompose the factor again. Abacus is square, generally there are half-open 99 method, difference method, formula method and multiplication. There are three ways to open a third party. The first is entrepreneurship. There are many ways to unlock the fifth power. The common method is to increase the power to the fifth power.

Opening higher is rarely used in abacus calculation. The commonly used terms in abacus calculation are as follows: neutral: when the upper and lower parts of the gear deviate from the beam, it is called neutral. Neutral means that the file has no count or zero. Empty: the abacus of all documents is empty, that is, it is not the whole disk. This is the so-called empty disk. Inner bead: according to the number of beads, it is called inner bead. Outer tire: The tire bead calculated by light beam is called outer tire. Dial: refers to the bead under the beam. Disc: refers to the ball on the beam. Dial: refers to the beads on or under the beam. This document refers to the documents to be counted. Previous file: refers to the previous file of this file, also called left position. Refers to the last file of a file, also known as the correct file bit. Few people learn abacus now. In the past, many people used abacus. This is also a commonly used calculation tool in the past.