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第158章 一法解千问,一困破万甲(1 / 2)

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场下众人纷纷躬身行礼。

“吾等拜见天子!”

姬宫湦大手一挥:“诸位免礼!孤王刚颁下招贤纳士令,尔等便不期而至,实属天意也。”

一名老者道:“启禀天子,吾等皆为九数而来,并非谋求司职也。”

姬宫湦微微一笑:“那今日便只谈九数。”

祭公墩道:“启禀大王,其等均有九数之惑,得知大王深谙其道,便想当面请教。”

姬宫湦不禁有些心虚。

前世大部分时间都沉迷于历史,数学水平只能算中等。

“九数奥妙无穷,孤王只是略懂皮毛而已。”

老者直奔主题:“敢问天子,若以切割之法,求圆径周之墩,是否无穷无尽。”

姬宫湦道:“确实!”

“吾有一问,今有鸡兔同框,首为一百,足为三百,则鸡兔各有几何?”

“鸡兔各有五十也!”

“若足为三百一十六,鸡兔又各自几何?”

“鸡四十二,兔五十八也。”

老者显然一愣,简单掐算验证,才面露惊讶。

“莫非天子曾熟读此问?”

姬宫湦笑道:“只需知晓一法,便可巧解?”

老者忙问:“是何巧法?”

“无论鸡兔,皆除其二足,即减二百数。余下便是兔之双足,作半即得兔之数也。”

“果然如此!”

老者如梦初醒,接着便朝姬宫湦躬身大拜。

一名中年人拱手道:“启禀天子,在下亦有一问也。”

姬宫湦颔首:“但说无妨。”

“今有一百金,购得彘百头。公彘五金一只,母彘三金一只,幼彘一金三只,试问各有几头。”

“一公一母九幼,十一头十一金,九公九母八十一幼,便是九十九头九十九金。”

“尚余一头一金也。”

“若增二母而减一公,即八公十一母八十一幼,恰好百金百头也。”

中年人难以置信,急忙从怀中掏出算筹,尔后多次验算,才颤颤巍巍拱手。

“天子之数,竟也契合也。”

姬宫湦道:“尔此前所算之数,是为几何?”

“四公十八母七十八幼,亦为百金百头也。”

“尔可知为何如此?”

“恳请天子指教!”

“此问之要,在于增减持恒也。四公与三幼合得七母,是以尔之数亦可。”

中年人心领神会:“十二公四母八十四幼亦可!”

姬宫湦颔首:“便是如此!”

“若再增减,便有少于一者,是以得数如三。”

“此法之精要,在于先分其合列,再抽换其所合之数。”

中年人顿首:“天子圣明!”

姬宫湦道:“九数者,皆在其法,而不在一问一数。吾辈所求,当是探究其法,以一法解千问,方为九数之学。”

众人纷纷感叹:“吾今日方知,何为九数也。”

姬宫湦则暗自庆幸。

幸亏前世闲暇时读过奥数书,才能快速想到相应的答案。

“孤王已在王城修筑学宫,诸位若有心苦研九数,尽可前往停歇。虽无重金厚利,亦可衣食无忧也!”

祭公墩率众道:“吾等多谢天子优待之盛意!”

姬宫湦道:“孤王此前另造俗字,亦有便捷九数之符号,诸位可尽管借用。”

老者与中年人领头躬身。

“天子于九数,开创者也!”

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