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1.關於吉西略夫編平面幾何(東北編譯本平面幾何,分初中和高中兩冊)的243中小字排印的一段,各地讀者來信提出問題、要求本通報解答。先節錄吉西略夫書的原文如下: “…假設將一個圖形分爲若干部份,並變換其各部份位置,則得一新圖形。試問:能不能用這樣變換圖形的方法,得出一個完全能裝入原圖形裏面的新圖形呢?…”“最初注意到這個問題的是義大利數學家德曹利特(1881年)。像以上那樣變換圖形部份的位置所得結果不可能這點,最初只能當作公理應用,但是以後這種不可能被舒拉,克林哥,沙杜諾夫斯基,哥利貝爾特等人嚴密的證明了。”
1. On the 243-character typographical section of Geismov’s plane geometry (Northeast Compilation Plane Geometry, divided into two volumes for junior middle school and senior high school), letters from various readers ask questions and ask for answers to this bulletin. The first excerpt from the original text of Ghisilov’s book reads as follows: “...assuming that dividing a graphic into parts and transforming the positions of each part gives us a new figure. How can we use this method of transforming figures? A new graphic that fits completely inside the original graphic?...” “The first thing that noticed this problem was the Italian mathematician De Caulette (1881). The result of transforming the position of the graphic part like the above is impossible. At first, it can only be used as an axiom, but in the future this cannot be proved by Shula, Klingo, Shadunovsky, Golibert and others."