内容 第7卷 · 207
命题 Propositio VII.32
Any number either is prime or is measured by some prime number.
任何数要么是素数，要么能被某个素数整除。
本页以“任何数或为素数或被某素数度量”整体图解辅助阅读；点、线、角、圆索引已按命题文字和证明步骤校订，可与证明和问答联动。
正文图形由校订坐标生成；点、线、角、圆可与证明和问答联动。
分步证明Step-by-step proof
1 / 4Let A be a number; I say that A either is prime or is measured by some prime number.
设A是一个数。
If now A is prime, that which was enjoined will have been done.
若A是素数，则结论成立。
But if it is composite, some prime number will measure it.
若A是合数，则根据第七卷命题31，存在某个素数度量A。
因此，任何数要么是素数，要么能被某个素数整除。
我的笔记 自动保存