Inst., institution, temple, mansion, school
院 centers on an enclosed, established place: an institution, a temple, a mansion, or a school. The common thread is a defined physical or organizational compound.
院 combines ⻖ (hill, mound) with 完, which likely contributes the sound. The original sense was a walled compound on a rise, later extended to institutions and temples.
The left side ⻖ suggests a hill or raised ground, and the right side 完 looks like a roof over a foundation. Picture a walled mansion or temple compound built on a hill: 院 is an institution.
For イン, imagine an inn (イン) that is actually a grand temple or school: inn -> イン, and the inn is the institution.
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hospital; clinic; doctor's office; doctor's surgery; infirmary
hospitalization; hospitalisation
graduate school
institute; academy
upper house; upper legislative chamber; senate
director (of a hospital, institution, academy, etc.); superintendent; rector
Buddhist temple
House of Representatives (lower house of the National Diet of Japan)
House of Councillors (upper house of the National Diet of Japan)
monastery; convent; cloister; abbey
leaving hospital; discharge from hospital
House of Representatives (lower house of the National Diet of Japan)
House of Councillors (upper house of the National Diet of Japan)
doctor's office; doctor's surgery; clinic
lower house; lower legislative chamber
going to the hospital regularly for treatment; attending hospital as an outpatient
inside the House; inside the Diet
graduate student; postgraduate student
parliament; congress; diet
both houses of parliament; both upper and lower house
drawing room; study; writing alcove
Board of Audit
monastery; temple
branch temple
National Personnel Authority
the two houses of legislature
orphanage
go institution; go club; go hall
beauty parlour; beauty parlor; beauty salon; hairdressing salon
academy of arts; arts academy
Committee on Rules and Administration (Diet); House Steering Committee; Standing Committee for House Management
home for the aged; old people's home