1.63 何乐不为

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    自日光城,到大雪山脚下,开拓先锋营。约二千余里。足月可达。
    不必急行。
    蓟王远道而来。“五十二王驾”中,记里鼓车,所记里程,已近万里。换言之,此距临乡,已是万里之遥。
    话说,记里鼓车,入列王仪卤簿。且天子出巡时,仅排在指南车之后。足见持重。
    换言之。天子出行,亦兼有丈量天下之重责。
    《孙子算经》:“今有长安洛阳相去九百里,车轮一匝一丈八尺,欲自洛阳至长安,问:轮匝几何(1里=300步,1步=6尺,1丈=10尺)?”
    窥一斑而知全豹。时下数理,无处不在。
    正如“运筹帷幄,决胜千里”。乃是以算筹,精确计算。又譬如“勾三、股四、玄五”,后人俗称“勾股定理”。然论其出处,西周(前十一世纪)时,商高便提出了“勾三股四弦五”的勾股定理特例。西方,最早提出并证明此定理的为古希腊毕达哥拉斯学派(前六世纪)。于是,西方将勾股定理,称为“毕达哥拉斯定理”。此举,譬如亦有国人称之为“商高定理”。
    然而,无论商高:平矩以正绳,偃矩以望高,覆矩以测深,卧矩以知远,环矩以为圆,合矩以为方。”
    亦或是毕达哥拉斯,所用“演绎法”,证明直角三角形斜边平方等于两直角边平方之和。皆非纯粹的算术。
    换言之,无论是测量得出,亦或是演绎得出。皆非“算出”。
    于是有《九章算术》:“勾股各自乘,并之为玄实。开方除之,即玄。”明确给出,计算公式。
    故不以商高命名,而称“勾股定理”。
    须知。凡言算术,亦或是数学公式,其原理,皆是十进位制(请注意)。
    古玛雅人二十进位,古巴比伦人六十进位。而古罗马,数字系统只有七个基本符,甚至没有位值制。
    且问,如何进行公式计算。
    此处可有定论。除华夏之外,余下古人类文明,皆无真正意义上的数学。
    很简单。皆不通十进位制。
    华夏先人,数学精通几何。不妨以马为例,信手拈来:
    其一。今有客马日行三百里,客去忘持衣,日已三分之一,主人乃觉,持衣追之而返,至家视日四分之三,问:主人马不休,日行几里?
    其二。今有良马与驽马,发长安至齐,齐去长安三千里,良马初日行一百九十三里,日增三十里驽马初日行九十七里,日减半里,良马先至齐,复还迎驽马,问:几何日相逢及各行几何?
    其三。今有武马一匹,中马两匹,下马三匹,皆载四十至阪,皆不能上,武马借中马一匹,中马借下马一匹,下马借武马一匹,乃皆上,问:武,中,下马一匹各力引几何?
    玛雅少年,二十进位,列算式可乎?
    巴比伦少年,六十进位,列算式行否?
    罗马少年?今日风和日丽,春光明媚,莺歌燕舞,蝶蜂乱飞。出城踏青,何乐不为?
    所谓“今朝有酒今朝醉,明日愁来明日愁”。
    即来则安。
    将营事,悉托良臣。蓟王携绣衣吏,巡弋日光普照之地。附近高原草场,多有东女国零星部落游牧。见王旗所至,亦殷勤备至,请入家中。即便天晚客居。蓟王亦婉拒牧人妻女侍寝,命史涣领绣衣吏,日夜值守。休要放入一人。
    “俗重妇人而轻丈夫,而性不妒忌(开放习气)”,“女贵者咸(皆)有侍男”。
    谁幸谁,犹未可知也。
    汉室贵胄,名重天下。“路途粮绝,往村中求食。所到之处,闻刘豫州,争相进食。”史上落难时,尚且如此。何况,今时今日。
    遍游山川河谷,草场林地,蓟王此举,自有深意。话说,毕竟临近大雪山,高寒缺氧之地。自西王母,年掷亿钱,重立西王母国。国中女王,并诸小王,皆择“诸川”定居。得益于蜀商往来,迅速向城邦转化。所谓“由俭入奢易,由奢入俭难”,能坐享其成,何必餐风露宿。亲力亲为。游牧已渐没落。尤其“女贵者”并“诸女王”,皆于川中高地,筑坞堡自守。国中贵族,皆围坞而居,沿山顺下。川中皆辟为良田。广植青稞麦并芜菁。虽不足外贩,却足可自给。东女国,物产丰富。出:牦牛、骏马、金、铜、宝石、朱砂、麝香、盐等。稍后史载“恒将盐向天竺兴贩,其利数倍”。
    尤其牦牛,骏马。高原良马,先秦时称“西蕃马”,前汉唤“羌马”。蓟人称“河曲马”。因先前,羌身毒道未通,良马多出赐支河曲,故名之。实则,河曲马,涵盖冰冻高原,及整个西王母国。
    河曲马,体形匀称,耳长敏捷,头长,胸深广,颈长中等,背平腰短,尻宽平,筋腱壮实,四肢粗壮。毛色以黑、青为主,也有骝、栗等色。极适高原气候,高山骑乘,行走自如。负重五百斤,长途骑乘,可日行百里。以善走沼泽草地而著称。
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