Page:Shinshiki Sanjutsu Kogi 00.djvu/12

2

新式算術

---

第三章　負數，四則算法の再審 ············································································································································································································································································································

六三-九三

廣義に於ける整數の定義，其命名，アルキメデスの法則，數學的歸納法の原理○加法及其性質○正數及負數，減法の可能，絕對値○乘法及其性質，除法

第四章　整除に關する整數の性質 ············································································································································································································································································································

九三-一三八

整除，倍數，相合式及ガウスの記法，剩餘の擴張，相合式の性質○十進法に於ける特殊なる整數の倍數の鑑識○最小公倍數及最大公約數○二つの數の最小公倍數及最大公約數，ポアンソーの幾何學的說明○一次不定方程式，一般の解答の決定，オイラーの解法○素數及合成數，合成數の素數分解，エラトステネスの篩，素數の數に限りなし○素數分解の應用

第五章　分數 ············································································································································································································································································································

一三八-一七四

分數班の構成，分數班內の相等大小及加法減法，整數と分數班との內容の一致○通分，一般分數の相等大小及加法減法，旣約分數○分數班の總括，數の新系統，其特徵，分