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第四十七章 平行公理(2)

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从古至今,研究欧氏几何的天才成千上万,其中成功者无数。最新地址ltxsba.pw如果按照现代教授评选的资格来看,这些成果的主人,其数量能满足整个中国学术界的需求。

但欧式几何为基础衍生而来的成果中,最有名的却是两个反其道而行的牛人,建立了“非欧几何”大厦的罗巴切夫斯基和黎曼。

科幻小说中常常出现的“曲率”一词,其实就来自于黎曼几何学,事实上,爱因斯坦在描述弯曲空间中所用的工具也是黎曼几何学,但它们思想的来源,却简单的令人难以置信。

正是人们对欧氏几何第五条公设,持续不断的怀疑,方才诞生了非欧几何。

为了以反证法来证明平行定理,就要在题设中否定欧氏几何的第五条定理,并尝试证明它是错误的——让许多人尴尬的是,当问题开始运作的时候,由此得出一大堆新的定理,却不能返回题设而证明平行定理是正确的,于是一群相信欧氏几何的人,却在反欧氏的道路上越走越远……

然而,非欧几何是19世纪的事情了,程晋州无论如何都不相信,一个小小的一级星术士,能在17世纪的基础上,解决一个19世纪的问题。

项欣静静的等在旁边,见程晋州不说话,就将随身携带的草稿纸取出,一页页的铺开,其上皆是对平行定理的反证法使用。

多想无益,程晋州吸了一口气,俯身看了起来。

穿着灰黑色袍服的星术士阁下,显的有些忐忑不安。

在不知道的人看来,这或许是一件相当奇特的事情。高傲的星术士在一个普通人面前表露出不自信,这种事情,往往只出现在演义小说之中……

程晋州一边看,一边还用鹅毛笔在旁边偶尔演算,换作另一个钻研型的博士,300年前的经典证明,其中应该得到什么答案,早就是烂熟于胸,他无论如何也是做不到的,如今只好自己动手。

好在看的只是初等几何与很少的高等几何知识,不至于让程晋州无从下手。

草稿纸大约有50页的厚度。项欣掌握的知识远比欧几里得时代多的多,站在近代数学的边缘上,她也能够用更先进的眼光去看待问题,在反证的开始阶段,各种推论都运用的很好,在看前20页的时候,程晋州心中的不安是与时俱增。

不过,很快他就放下心来。

因为项欣开始使用猜测的语句,进行描述性的表述。

她完全没有接触过微积分,仅仅是利用几百年前极限的概念,做到累死也不会成功。

程晋州长长的松了一口气——天可怜见,该死的历史,不会因为某只蝴蝶的炫耀而改变,如果没有了领先世界的科学思想,就是有再多的书,他也拼不过这些智力超群的星术士。

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