The so-called problem of turning a circle into a square is to find a square with an area equal to that of a known circle. Mathematical circles have proved that the method of drawing with a ruler can't solve the problem of turning a circle into a square. The other two problems listed as three "geometric drawing problems" together with the problem of turning a circle into a square are the cubic product problem and the bisector problem of any angle.
Nor can it be solved by ruler drawing. It is suggested that friends who are interested in mathematics should not waste their time on it. If we remove the restriction of "drawing only with rulers and gauges", there will be more methods. The predecessors have accumulated many good methods for us. Isn't it a pleasure to learn these methods and have a tour in the mathematical world?
Judging from the transformation process of graphics, we can't directly turn a circle into a square. Usually we turn a circle into a rectangle or triangle first, and then from a rectangle or triangle into a square. The picture below shows the first change from a circle to a rectangle.
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Mathematics (English: Mathematics, from the ancient Greek μ θ η μ α (má th ē ma); Often abbreviated as math or maths]) is a discipline that studies concepts such as quantity, structure, change, space and information, and belongs to a formal science from a certain point of view.
Mathematics is produced by counting, calculating, measuring and observing the shape and motion of objects through abstract and logical reasoning. [1] Mathematics has become a part of education in many countries and regions.
It is applied in different fields, including science, engineering, medicine, economy and finance. Mathematicians also study pure mathematics, which is the substantive content of mathematics itself and does not aim at any practical application.
Its plural form in English and as the plural form of mathématiques in French +es can be traced back to the Latin neutral plural (Mathematica), which is Cicero's plural from Greek τ α α θ ι α τ κ? (ta mathēmatiká)。
In ancient China, mathematics was called arithmetic, also called arithmetic, and was finally changed to mathematics. Arithmetic in ancient China was one of the six arts (called "number" in the six arts).
Mathematics originated from early human production activities. The ancient Babylonians had accumulated some mathematical knowledge, which could be applied to practical problems. Judging from mathematics itself, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof. However, we should fully affirm their contribution to mathematics.