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.
General term for finding area or volume; commonly used in mathematics.
A configuration in which two celestial bodies have an angular separation of 90 degrees as seen from Earth.
Traditional astronomical term for quadrature; used in classical contexts.
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.
この曲線の求積は難しい。
The quadrature of this curve is difficult.
Standard term for 'integration' in calculus; often used when 'quadrature' means integration.
Numerical integration is a type of quadrature method.
Refers to a method or technique of quadrature, such as numerical quadrature.
Gaussian quadrature is highly accurate.
Numerical integration; often used interchangeably with numerical quadrature.
I implemented a numerical quadrature algorithm.
The moon is in quadrature.
Descriptive phrase meaning 'elongation of 90 degrees'; used in modern astronomy.
The outer planet is at quadrature (elongation 90°).
Western quadrature; when the celestial body is west of the sun.
Venus is at western quadrature.
Eastern quadrature; when the celestial body is east of the sun.
Mars is at eastern quadrature.