Translation guide
The English word "quadrature" has two main meanings: a mathematical one (integration, finding area) and an astronomical one (a specific alignment of celestial bodies). This guide focuses on the mathematical sense, which is the most common for learners, and briefly covers the astronomical sense.
The process of determining the area under a curve, or solving a differential equation by integration.
A configuration in which two celestial bodies have an angular separation of 90 degrees as seen from Earth.
The word 'quadrature' is highly technical. In everyday English, it is rarely used. When translating, ensure the context is mathematical or astronomical; otherwise, rephrase the English first.
The quadrature of this curve is difficult.
Standard term for 'integration' in calculus; often used when 'quadrature' means integration.
数値積分は求積法の一種です。
Numerical integration is a type of quadrature method.
Refers to a method or technique of quadrature, such as numerical quadrature.
ガウス求積法は高精度です。
Gaussian quadrature is highly accurate.
Numerical integration; often used interchangeably with numerical quadrature.
数値積分のアルゴリズムを実装した。
I implemented a numerical quadrature algorithm.
Descriptive phrase meaning 'elongation of 90 degrees'; used in modern astronomy.
外惑星が離角90度の位置にある。
The outer planet is at quadrature (elongation 90°).
Western quadrature; when the celestial body is west of the sun.
金星が西方矩にある。
Venus is at western quadrature.
Eastern quadrature; when the celestial body is east of the sun.
火星が東方矩にある。
Mars is at eastern quadrature.