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Śrīmad-Bhāgavatam 4.1.59

తావిమౌ వై భగవతో హరేరంశావిహాగతౌ । భారవ్యయాయ చ భువ: కృష్ణౌ యదుకురూద్వహౌ ॥ ౫౯ ॥
tāv imau vai bhagavato
[taav imau vai bhagavato]
harer aṁśāv ihāgatau
[harer amshaav ihaagatau]
bhāra-vyayāya ca bhuvaḥ
[bhaara-vyayaaya cha bhuvah]
kṛṣṇau yadu-kurūdvahau
[krishnau yadu-kuroodvahau]
Word-for-word
tau — both imau — these vai — certainly bhagavataḥ — of the Supreme Personality of Godhead hareḥ — of Hari aṁśau — part and parcel expansion iha — here (in this universe) āgatau — has appeared bhāra-vyayāya — for mitigation of the burden ca — and bhuvaḥ — of the world kṛṣṇau — the two Kṛṣṇas (Kṛṣṇa and Arjuna) yadu-kuru-udvahau — who are the best of the Yadu and Kuru dynasties respectively.
Blended reading (Sanskrit + English inline)
tāv imau vai bhagavato
tau
both
imau
these
vai
certainly
bhagavataḥ
of the Supreme Personality of Godhead
harer aṁśāv ihāgatau
hareḥ
of Hari
aṁśau
part and parcel expansion
iha
here (in this universe)
āgatau
has appeared
bhāra-vyayāya ca bhuvaḥ
bhāra-vyayāya
for mitigation of the burden
ca
and
bhuvaḥ
of the world
kṛṣṇau yadu-kurūdvahau
kṛṣṇau
the two Kṛṣṇas (Kṛṣṇa and Arjuna)
yadu-kuru-udvahau
who are the best of the Yadu and Kuru dynasties respectively.
That Nara-Nārāyaṇa Ṛṣi, who is a partial expansion of Kṛṣṇa, has now appeared in the dynasties of Yadu and Kuru, in the forms of Kṛṣṇa and Arjuna respectively, to mitigate the burden of the world.
Purport

Nārāyaṇa is the Supreme Personality of Godhead, and Nara is a part of the Supreme Personality of Godhead, Nārāyaṇa. Thus the energy and the energetic together are the Supreme Personality of Godhead. Maitreya informed Vidura that Nara, the portion of Nārāyaṇa, had appeared in the family of the Kurus and that Nārāyaṇa, the plenary expansion of Kṛṣṇa, had come as Kṛṣṇa, the Supreme Personality of Godhead, with the purpose of delivering suffering humanity from the pangs of material burdens. In other words, Nārāyaṇa Ṛṣi was now present in the world in the forms of Kṛṣṇa and Arjuna.

— A.C. Bhaktivedanta Swami Prabhupāda
Gauḍīya Ācāryas
Viśvanātha Cakravartī Ṭhākura Gauḍīya
Translation
These two portions of the Lord have entered Kṛṣṇa and Arjuna, best of the Yadu and Kuru dynasties for relieving the earth of its burden. Nara and Nārāyaṇa (subject), portions of the Lord, at the end of Dvāpara-yuga (iha), have attained the forms of Kṛṣṇa and Arjuna (object). The portions (aṁśas) have entered their aṁśīs. This is explained in the Laghu-bhāgavatāmṛta (1.5.13): karttārau tau hareraṁśau naranārāyaṇāv ṛṣī. dvāparānte karmabhūtāv āyātau kṛṣṇa-phālgunau Nara-Nārāyaṇa, the expansions of Viṣṇu, entered Kṛṣṇa and Arjuna at the end of Dvāpara- yuga.
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