第二十六章 土地丈量法(下)
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程晋州搓搓鼻子,边写边道:“最难丈量的土地,主要是丘陵的坡地和梯田,在这方面,我有个算法,即能准确测量面积,也能加快速度,假设有一块梯田,测量时候两人手拉皮尺,分别从梯田的甲点出发,分别沿梯田两边向b点前进,每走一段距离,测量一次弦的长度,要求各弦之间保持平行并且距离相等……”
伴随着一串的数字和专有名词,乌纵的鼻尖上很快就是一滴一滴的汗珠,脸颊额头上却满是通红的兴奋。
就算在2世纪,土地测量也不会大量的使用高科技,尤其是在中国,简单易行并能够以乡为单位测量是最好不过的。
在大夏朝问题又有不同,这里可不是小农经济占主导的社会,大地主田地里阡陌纵横,大贵族的庄园交相错落,想要厘清他们的土地,所耗的精粱有更多。
作为幕僚,杨明对数理也了解一些,只看程晋州的图就点头道:“刘匡阁下就说过,坐标测量的时候,这种不平整的土地,是会有错的,如此一来,就要解决不少的问题。”
“再说下一个。”程晋州却不唾,顺了一下笔锋道:“我在坐标测量方面,其实也有些心得……三位可以保密吗?”
“我们可以向协会提交成果!”乌纵第一先叫了出来,很有信心的道:“坐标计算,可是真正的顶尖数理,只要能有一点点发展,协会可能会给予您极高的奖励的,或许因此得授品级也说不定,到时候换些高级星阵,谁还敢有什么想法不成?”
“我有自己的想法。”程晋州心里清楚的很,继续道:“能保密吗?”
眼见乌纵对程晋州的态度,刘斌完全是用平视的角度去看他,重重的一点头道:“刘某纺。”
“杨某以全家性命担。”
乌纵没办法,拗不过程晋州,终究还是仰头道:“以星神的名义!”
他随之又不甘心的道:“协会都是使用贡献制的,要换取星阵,以及了解其他人的研究成果,总是需要交换的。”
“那是之后的事情了。”程晋州不得不小心。解析几何与微积分,正是近代数学的两大开端,而近代数学,则是近代科学的开端,天才也不能独立独自的解决这两个问题。他可不想在露出微积分尾巴的同时,把解析几何也甩出来。
“在不影响精度的情况下,我只需要更少的点,就能测量更多的面积。”程晋州一边在纸上画出简单的不规则图形,一边道:“这里有几个公式可以应用……,当然,你们应该交给刘匡星术士验证一二,但不要告诉他这是我写的。”
杨明看不懂公式,却是频频摇晃着下巴道:“如果测量的点少了,用的星术士也就少了。”
“正是如此。”程晋州呵呵的兴起来。坐标法测面积,其实更多的用在道路建设中,因为诸如公路等等,它们必然是平整而无折叠的,也不会有田地中承的沟堑。不过在大夏朝,成片的土地反而是主流,这却是有些像南美的农业国。
与7世纪水平的解析几何比起来,程晋州能拿出来的东西,实在是太多太多。哪怕他是个不好好学习的物理学博士。
……
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