what is the translation for the word "intersection"? when used as an *operation* between volumes or lines. (not a road intersection)


intersection when used as an _operation_ or _volumetric operation_ between
volumes or lines.

(not as a road intersection).




For the set theory operation, there are a few terms as given in [this
Wikipedia
article](https://ja.wikipedia.org/wiki/%E5%85%B1%E9%80%9A%E9%83%A8%E5%88%86_\(%E6%95%B0%E5%AD%A6\)),
including:

  * 共通部分｛きょうつうぶぶん｝
  * 共通集合｛きょうつうしゅうごう｝
  * 交差｛こうさ｝
  * 交わり｛まじわり｝
  * 積集合｛せきしゅうごう｝
  * 積｛せき｝

Although the article points out that 積 is also used to refer to the product of
two sets, so 共通部分 is probably the preferred term. 共通 is also used for "in
common" in other mathematical terms, e.g. if two triangles have the same
height they might be referred to as 高さが共通.

As you can see in [this](https://methodology.site/intersection-of-cylinders/)
page, the intersection of two or more 3D solids is referred to as
共通｛きょうつう｝部分｛ぶぶん｝の体積｛たいせき｝, and you would have similar terms for intersections
of areas and other mathematical constructs.




For the set theory operation, there are a few terms as given in [this
Wikipedia
article](https://ja.wikipedia.org/wiki/%E5%85%B1%E9%80%9A%E9%83%A8%E5%88%86_\(%E6%95%B0%E5%AD%A6\)),
including:

  * 共通部分｛きょうつうぶぶん｝
  * 共通集合｛きょうつうしゅうごう｝
  * 交差｛こうさ｝
  * 交わり｛まじわり｝
  * 積集合｛せきしゅうごう｝
  * 積｛せき｝

Although the article points out that 積 is also used to refer to the product of
two sets, so 共通部分 is probably the preferred term. 共通 is also used for "in
common" in other mathematical terms, e.g. if two triangles have the same
height they might be referred to as 高さが共通.

As you can see in [this](https://methodology.site/intersection-of-cylinders/)
page, the intersection of two or more 3D solids is referred to as
共通｛きょうつう｝部分｛ぶぶん｝の体積｛たいせき｝, and you would have similar terms for intersections
of areas and other mathematical constructs.

