第三十八章 再会佳人
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张紫星没料到女子这等大方,倒也不好意思再出言调戏,说道:“小姐过奖了,请问小姐芳名?”
“姓名不过一称谓而已,先生既名紫星,那小女子就叫青儿吧。”这位青儿的意思很明显,反正大家都用假名,你就随便叫吧!张紫星暗暗叫屈——这回亏大了,俺可真叫“紫星”啊……
青儿虽然大方,毕竟是一个未婚女子,也不好老和张紫星搭讪,将他请入草堂上座后,直入主题:“紫星先生乃术算奇才,上次听闻先生妙解鸡兔同笼之难题,让青儿受益匪浅,青儿近日也曾苦思先生所言第二种解法,却始终不得其解,方知与先生相距不以道里计。今日幸得先生再临,还请将不吝指教。”
那几名侍卫听到小姐如此言语,纷纷面露惊讶,看向张紫星的眼神都变了。在他们看来,这位小姐有经纬之才,天文地理,无一不晓,尤其术算一道,更是让人佩服,可惜并非男子之身,否则早已名扬朝堂之上。今天听到小姐称呼这位叫紫星的男子为“术算奇才”,而且自认远远不如,看来这男子必定有真才实学。
张紫星看着目露诚恳的青儿,知道她对“鸡兔同笼”的第二种解法必定经过了一番冥思苦想,暗赞她的钻研精神,他并没有立刻说出解法,而是反问了一句:“我观小姐对术算甚是喜爱,想必对《天算》一书颇有精研。但小姐却不知,《天算》的精髓不仅在于术算之法,更在于术算之道!”
《天算》的精髓!青儿还是首次听到这种理论,目光凝重地站起身来,恭敬施礼道:“求教先生,何谓术算之法?何谓术算之道?”
“‘术算之法’乃术算之定理、公式、运算方法等,《天算》一书上尽有记载,而‘术算之道’却是《天算》未曾载明之道,即个人对术算的领悟。一道通,万法通。青儿小姐可能记得在下当初曾说过‘术算需奇思’?此亦在下所悟术算之道也。小姐聪颖过人,亦精通术算之法,但思维方式还是太过拘泥,若能在这方面有所突破,术算修为必将更上一层楼。”
青儿绝顶聪明,隐隐明白了他的意思,感觉这短短几句话仿佛将自己带到了一个以前未曾想到过的奇妙天地中,一旦有所领悟,就能获得质的突变。
“就以‘鸡兔同笼’一题为例,表面看来条件过少,难以计算,但换一角度来看,这条件亦可自己创造,”青儿听到这里,目光一亮,似乎捕捉到了什么关键的东西,只听张紫星继续说道:“虽不知兔的个数,但我可将假定其为已知,称为‘未知数’……”
由于青儿算是个数学行家,所以张紫星向她提出了《天算》中没有的知识范畴——未知数和方程式。先设兔的只数(也就是头数)是x,因为“鸡头+兔头=35”,所以“鸡头=35-x”。由此可知,有x只兔,应该有4x只兔脚,而鸡的只数是(35-x),所以应该有2x(35-x)只鸡脚。现在已知鸡兔的脚总共是94只,可以列出关系式:4x+2x=94,因此可以轻松算出兔子只数x=12,鸡的只数则是35-12=23。
当然,为了让青儿更好理解,张紫星把未知数x的名字换成了五行中的“金”,青儿从来没有听过这样新奇的解法,身体都因为兴奋和激动微微颤抖起来,顾不得失礼,立刻拿出纸张和笔墨在桌子上计算起来,张紫星还是第一次见到这样好学的女子,不由动了当回“导师”的念头,详细讲解了一番。
青儿智慧过人,悟性奇高,不久就明白掌握了未知数和一元一次方程式的用法,甚至还提出能设更多未知数的设想,让张紫星赞不绝口。
“先前只道先生不凡,却不知先生如此不凡!”青儿对张紫星之能佩服得五体投地:“先生乃不世高人,青儿能得先生指教,实是三生有幸。小女子情愿拜先生为师,还望成全!”
“青儿小姐太过谦了,在下虽然喜好术算,却也只是略通皮毛而已,拜师倒是不必了。所谓酒逢知己千杯少,紫星能结识小姐这等同好中人,心中亦是欢喜无限,日后若有闲暇我定当来草堂和小姐一同研习术算。”
青儿听他拒绝,目中露出遗憾之色,听到最后一句时,又露出喜色:“如此也好,方才闻听先生讲解《天算》精髓,令人叹服。以青儿看来,先生胸中所学,似乎还在《天算》之上,不知先生是何方人士?现任何职?”
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