Śrīmad-Bhāgavatam 4.1.31
అథాస్మదంశభూతాస్తే ఆత్మజా లోకవిశ్రుతా: ।
భవితారోఽఙ్గ భద్రం తే విస్రప్స్యన్తి చ తే యశ: ॥ ౩౧ ॥
athāsmad-aṁśa-bhūtās te
[athaasmad-amsha-bhootaas te]
ātmajā loka-viśrutāḥ
[aatmajaa loka-vishrutaah]
bhavitāro ’ṅga bhadraṁ te
[bhavitaaro ’nga bhadram te]
visrapsyanti ca te yaśaḥ
[visrapsyanti cha te yashah]
Word-for-word
atha
—
therefore
asmat
—
our
aṁśa-bhūtāḥ
—
plenary expansions
te
—
your
ātmajāḥ
—
sons
loka-viśrutāḥ
—
very famous in the world
bhavitāraḥ
—
in the future will be born
aṅga
—
dear great sage
bhadram
—
all good fortune
te
—
unto you
visrapsyanti
—
will spread
ca
—
also
te
—
your
yaśaḥ
—
reputation.
Blended reading (Sanskrit + English inline)
athāsmad-aṁśa-bhūtās te
atha
therefore
asmat
our
aṁśa-bhūtāḥ
plenary expansions
te
your
ātmajā loka-viśrutāḥ
ātmajāḥ
sons
loka-viśrutāḥ
very famous in the world
bhavitāro ’ṅga bhadraṁ te
bhavitāraḥ
in the future will be born
visrapsyanti ca te yaśaḥ
aṅga
dear great sage
bhadram
all good fortune
te
unto you
visrapsyanti
will spread
ca
also
te
your
yaśaḥ
reputation.
You will have sons who will represent a partial manifestation of our potency, and because we desire all good fortune for you, those sons will glorify your reputation throughout the world.
Gauḍīya Ācāryas
Viśvanātha Cakravartī Ṭhākura
Gauḍīya
Translation
O sage! Our portions will be born as your sons, famous in the world. Good fortune to you! Your fame will spread everywhere.
In order to show that Viṣṇu is actually the Supreme Lord among, then Viṣṇu became Dattātreya, an avatāra, not the other two. Visrapsyanti means “they will spread.” This is a causative from the root sṛp, meaning to move.
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Source: vedabase.io