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ŚB 7.9.38

इत्थं नृतिर्यगृषिदेवझषावतारै-
र्लोकान् विभावयसि हंसि जगत्प्रतीपान् ।
धर्मं महापुरुष पासि युगानुवृत्तं
छन्न: कलौ यदभवस्त्रियुगोऽथ स त्वम् ॥ ३८ ॥
itthaṁ nṛ-tiryag-ṛṣi-deva-jhaṣāvatārair
lokān vibhāvayasi haṁsi jagat pratīpān
dharmaṁ mahā-puruṣa pāsi yugānuvṛttaṁ
channaḥ kalau yad abhavas tri-yugo ’tha sa tvam

Synonyms

itthamin this way; nṛlike a human being (such as Lord Kṛṣṇa and Lord Rāmacandra); tiryaklike animals (such as the boar); ṛṣias a great saint (Paraśurāma); devaas demigods; jhaṣaas an aquatic (such as the fish and tortoise); avatāraiḥby such different incarnations; lokānall the different planetary systems; vibhāvayasiYou protect; haṁsiYou (sometimes) kill; jagat pratīpānpersons who have simply created trouble in this world; dharmamthe principles of religion; mahā-puruṣaO great personality; pāsiYou protect; yuga-anuvṛttamaccording to the different millenniums; channaḥcovered; kalauin the Age of Kali; yatsince; abhavaḥhave been (and will be in the future); tri-yugaḥnamed Triyuga; athatherefore; saḥthe same personality; tvamYou.

Translation

In this way, my Lord, You appear in various incarnations as a human being, an animal, a great saint, a demigod, a fish or a tortoise, thus maintaining the entire creation in different planetary systems and killing the demoniac principles. According to the age, O my Lord, You protect the principles of religion. In the Age of Kali, however, You do not assert Yourself as the Supreme Personality of Godhead, and therefore You are known as Triyuga, or the Lord who appears in three yugas.

Purport

As the Lord appeared just to maintain Lord Brahmā from the attack of Madhu and Kaiṭabha, He also appeared to protect the great devotee Prahlāda Mahārāja. Similarly, Lord Caitanya appeared in order to protect the fallen souls of Kali-yuga. There are four yugas, or millenniums — Satya, Tretā, Dvāpara and Kali. In all the yugas but Kali-yuga, the Lord appears in various incarnations and asserts Himself as the Supreme Personality of Godhead, but although Lord Śrī Caitanya Mahāprabhu, who appears in Kali-yuga, is the Supreme Personality of Godhead, He never asserted Himself as such. On the contrary, whenever Śrī Caitanya Mahāprabhu was addressed as being as good as Kṛṣṇa, He blocked His ears with His hands, denying His identity with Kṛṣṇa, because He was playing the part of a devotee. Lord Caitanya knew that in Kali-yuga there would be many bogus incarnations pretending to be God, and therefore He avoided asserting Himself as the Supreme Personality of Godhead. Lord Caitanya Mahāprabhu is accepted as the Supreme Personality of Godhead, however, in many Vedic literatures, especially in Śrīmad-Bhāgavatam (11.5.32):
kṛṣṇa-varṇaṁ tviṣākṛṣṇaṁ
sāṅgopāṅgāstra-pārṣadam
yajñaiḥ saṅkīrtana-prāyair
yajanti hi sumedhasaḥ
In Kali-yuga, intelligent men worship the Supreme Personality of Godhead in the form of Śrī Caitanya Mahāprabhu, who is always accompanied by His associates such as Nityānanda, Advaita, Gadādhara and Śrīvāsa. The entire Kṛṣṇa consciousness movement is based on the principles of the saṅkīrtana movement inaugurated by Śrī Caitanya Mahāprabhu. Therefore one who tries to understand the Supreme Personality of Godhead through the medium of the saṅkīrtana movement knows everything perfectly. He is sumedhas, a person with substantial intelligence.