Translation guide
The branch of mathematics dealing with shapes, sizes, and properties of space. In Japanese, the academic subject is 幾何学, but the word 幾何 is also used in compound terms. For everyday references to shape or layout, other expressions are more natural.
Referring to geometry as a field of mathematics studied in school or research.
The standard term for the academic discipline of geometry.
彼は幾何学の定理を証明した。
He proved a theorem in geometry.
Often used in compound terms like 幾何学模様 (geometric pattern) or 幾何平均 (geometric mean). Alone it can mean geometry but is less common than 幾何学.
幾何平均を計算してください。
Please calculate the geometric mean.
Describing the physical form, configuration, or arrangement of something, not the math subject.
General term for shape or form of an object. Natural for describing geometry in design or engineering.
この部品の形状は複雑だ。
The geometry of this part is complex.
Explicitly 'geometric shape', used in technical or design contexts.
建物は幾何学的形状をしている。
The building has a geometric shape.
Means structure or configuration, often used when geometry implies arrangement of parts.
幾何学 is strictly the academic subject. Saying この花瓶の幾何学が美しい sounds unnatural. Use 形状 or 形 instead.
分子の幾何学的構造を調べる。
Investigate the molecular geometry.