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Chinese Text Project Wiki |
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| Scope: 四庫全書總目提要 |
| Condition : References 「人代紀要」 |
| Total 3 |
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1  | 明顧應祥撰。應祥有《人代紀要》，已著錄。李冶《測圓海鏡》所設一百七十問中，皆有草有法。草用立天元一為虛數，合問數推之法，專用問數推之，皆歸於帶縱諸乘方而止。應祥得冶書於唐順之，於立天元一語互相推求，不得其解，遂去其細草，專演算法，改為是書。自謂便於下學。殊不知立天元一之妙，能使諸法不能求者可以得其法；若無其草，即冶已有不能得其法者。而徒沾沾於加減開方之數，可謂循枝葉而失本根者矣。唐順之與應祥書云，此書形下之數太詳，而形上之義或略，使觀之者尚不免其數可陳而義難知，有與人以鴛鴦枕而不度人以金針之疑。僕意欲明公於緊要處提掇一二作法源頭出來，使後世為數學者識其大者得其義，識其小者得其數，則此書尤更覺精採耳。其不足於應祥者誠是。第作法源頭即立天元一一語，應祥既去之，又將何以為提掇乎？然《九章》之中，惟少廣諸乘方之數為甚繁，故立方帶縱之法，古已不見有和數者。冶所用有至三乘方、四乘方及五乘方者，且兼加減諸乘方廉隅，不為之詳其算式，初學誠有難於取數者。冶雖專為發明立天元一術，得應祥所演諸乘方之式，亦可謂求立天元一法者之一助云。 |
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