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ŚB 10.14.20

सुरेष्वृषिष्वीश तथैव नृष्वपि
तिर्यक्षु याद:स्वपि तेऽजनस्य ।
जन्मासतां दुर्मदनिग्रहाय
प्रभो विधात: सदनुग्रहाय च ॥ २० ॥
sureṣv ṛṣiṣv īśa tathaiva nṛṣv api
tiryakṣu yādaḥsv api te ’janasya
janmāsatāṁ durmada-nigrahāya
prabho vidhātaḥ sad-anugrahāya ca

Synonyms

sureṣuamong the demigods; ṛṣiṣuamong the great sages; īśaO Lord; tathāas well as; evaindeed; nṛṣuamong the human beings; apiand; tiryakṣuamong animals; yādaḥsuamong aquatics; apialso; teof You; ajanasyawho never takes material birth; janmathe birth; asatāmof the nondevotees; durmadathe false pride; nigrahāyafor the purpose of subduing; prabhoO master; vidhātaḥO creator; satto the faithful devotees; anugrahāyafor the purpose of showing mercy; caand.

Translation

O Lord, O supreme creator and master, You have no material birth, yet to defeat the false pride of the faithless demons and show mercy to Your saintly devotees, You take birth among the demigods, sages, human beings, animals and even the aquatics.

Purport

Among the demigods Lord Kṛṣṇa appears in such forms as Vāmanadeva, among the sages as Paraśurāma, among human beings as Lord Kṛṣṇa Himself and as Lord Rāmacandra, and among animals as the boar incarnation. Lord Kṛṣṇa appears among the aquatics as Matsya, the gigantic fish. Indeed, the plenary expansions of the Supreme Personality of Godhead are innumerable, as the Lord relentlessly comes down within the universes to smash the false pride of the atheists and show mercy to the saintly devotees.
In another sense, the Lord never appears, since He exists eternally. His appearance is like that of the sun, which is always present in the sky but which periodically appears to our vision.