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射影 (shè yǐng) — projection (in mathematics, geometry, or psychology)

Definition

A formal term in mathematics and geometry for a projection — a mapping that sends points of one space to another along straight lines.

noun
projection (in mathematics, geometry, or psychology)

Examples

  • ，射影。
    Zài jǐ hé zhōng, shè yǐng shì yí gè zhòng yào de gài niàn.
    In geometry, projection is an important concept.
  • 射影。
    Fú luò yī dé tí chū le xīn lǐ shè yǐng de gài niàn.
    Freud proposed the concept of psychological projection.
  • 射影。
    Zhè ge shè yǐng dìng lǐ zài shù xué zhōng hěn yǒu yòng.
    This projection theorem is very useful in mathematics.

Origin

Compound word
构词法gòucífǎ
动宾dòngbīnVerb + object

An action followed by what it acts on, fused into one word.

射shèproject
影yǐngimage

射 suggests casting or projecting, and 影 is the resulting image or shadow.

Characters in this word

Two or more meaningful parts placed together so that their meanings combine into a new one.

In 射, the left part comes from 弓 (bow) and 矢 (arrow), and the right part comes from a hand drawing the bowstring.

Open 射 →

Most characters — around four in five — are built this way: one part hints at the meaning, the other at the pronunciation.

Meaning part形符xíngfú
彡彡shān
Sound part声符shēngfú
景
景jǐng影yǐng
Same sound today

影 pairs 景, which gives the sound and also carries the idea of image, with 彡, the part that points to shadow.

Open 影 →
Appears in
Math

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