The following article is derived from the counting liner, and the author is the number of liners
The author | a number of lines
The mathematics of ancient Greece must be amazed by the serious study of readers, as modern people more than two thousand years later, reading the works of that time, they will certainly be impressed by the deep thinking of predecessors, and can only offer our knees!
After recording the course of "Geometry Original", fortunately met the Canadian teacher Ren Guoqing, he recommended to me the "Archimedes' Method" after Euclid, this small book, a total of 15 propositions of the argument, although short, but for the development of subsequent mathematics, in the method is undoubtedly outstanding contribution, after careful reading, finally the Western mathematician's mental journey is filled with a perfect detail, this small work, invisibly should have played a very key role in the development of Western mathematics.
But the book was almost lost in history, inadvertently found in a parchment scroll that copied scriptures. The original use of parchment rolls can be reused, and when the old content of the writing feels insignificant, the original handwriting can be washed off with water and then the new content can be rewritten. Behind the handwriting of this parchment scroll, there is a legacy of the last time the parchment scroll was used, which happens to be this long-lost archimedes' work, through the remnants, scholars have tried their best to restore some of the text, through conjecture and supplement some of the lost text, although it is difficult to restore the original original, but through the only remaining handwriting, we can still appreciate the spark of agility in Archimedes' thought.
With the help of the principle of leverage in mechanics, he carried out the conclusion analysis and discussion of mathematical problems, and in that era, he deduced the area of many special planar figures and the volume of special three-dimensional figures, such as: parabolic area, cone volume, sphere volume, parabolic volume, mouhe square cover volume, and so on. No wonder he would say, "Give me a lever and I can pry the earth!" "The tool of leverage is really thoroughly studied by him!"
In the demonstration of these 15 propositions, Archimedes successfully transformed a series of irregular geometric figures to be studied into regular figures equal to them to illustrate, only need to construct a regular graph in the graph, and then create a fulcrum point and a line segment as a lever, successfully establish a correlation between them, make the impossible possible, thus achieving the effect of turning decay into magic, and successfully inferring the area and volume formulas of many special figures.
In the process of argumentation, Archimedes also cleverly used the exhaustion method for reasoning, which is perhaps the earliest example of the application of Western mathematical calculus ideas. Although his method is not a calculus method, it more or less provides another direction for latecomers to think. The discovery of this small book also proves one of the ideas of teacher Ren Guoqing and me, that is, so many big cattle in the Western mathematical and physical circles, their ideas are not accidental whims, but more of a historical origin. The two of us have always had a wish to let the children in China appreciate the mental process of mathematics, which may inspire several teenagers who love mathematics, and also provide some methods and ways for their thinking.
But unfortunately, there is no complete translation version in China that can be found, so I had to translate and recommend it to domestic readers and friends with Teacher Ren, and I hope that everyone can gain inspiration from it and improve their mathematical thinking. Next, I will recommend this rare work to everyone, the following is the text I translated, limited by what I have learned, the improper translation, please leave more messages to correct, thank you!
Edition Editor|-Koguizuki-