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词汇 secant
释义

Definition of secant in English:

secant

noun ˈsɛk(ə)ntˈsiːk(ə)nt
  • 1Mathematics
    The ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

    〔数〕正切;余弦的倒数

    Example sentencesExamples
    • He gave a table of secants and, although Delambre credited him with the first use of this function, it had appeared earlier in the work of Copernicus.
    • When you move the cursor over a button on the calculator, a description of its function appears - sine of a number, cosine, secant, etc.
    • The secant and cosecant were not used by the early astronomers or surveyors.
    • It also gave tables of natural sine functions to 15 decimal places, and the tan and sec functions to 10 decimal places.
    • The secant of this angle is 1.61806 which is remarkably close to the golden ratio 1.618034.
  • 2Geometry
    A straight line that cuts a curve in two or more parts.

    〔几何〕割线

    Example sentencesExamples
    • In this projection the meridians are vertical and parallels having increased spacing in proportion to the secant of the latitude.
    • Note that the air mass is approximately equal to the secant of the zenith angle (that angle from directly overhead to a line intersecting the sun).
    • Direct irradiance was attenuated as described by Beer's law, with the optical path length increasing approximately as the secant of the solar zenith angle.

Origin

Late 16th century; from French sécante, based on Latin secare 'to cut'.

Definition of secant in US English:

secant

noun
  • 1Mathematics
    The ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

    〔数〕正切;余弦的倒数

    Example sentencesExamples
    • It also gave tables of natural sine functions to 15 decimal places, and the tan and sec functions to 10 decimal places.
    • The secant and cosecant were not used by the early astronomers or surveyors.
    • When you move the cursor over a button on the calculator, a description of its function appears - sine of a number, cosine, secant, etc.
    • He gave a table of secants and, although Delambre credited him with the first use of this function, it had appeared earlier in the work of Copernicus.
    • The secant of this angle is 1.61806 which is remarkably close to the golden ratio 1.618034.
  • 2Geometry
    A straight line that cuts a curve in two or more parts.

    〔几何〕割线

    Example sentencesExamples
    • In this projection the meridians are vertical and parallels having increased spacing in proportion to the secant of the latitude.
    • Direct irradiance was attenuated as described by Beer's law, with the optical path length increasing approximately as the secant of the solar zenith angle.
    • Note that the air mass is approximately equal to the secant of the zenith angle (that angle from directly overhead to a line intersecting the sun).

Origin

Late 16th century; from French sécante, based on Latin secare ‘to cut’.

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