|Canto 4: Creation of the Fourth Order||Chapter 15: King Prithu's Appearance and Coronation|
Bhaktivedanta VedaBase: Srimad Bhagavatam 4.15.6
esha sakshad dharer amso
iyam ca tat-para hi srir
eshah -- this male; sakshat -- directly; hareh -- of the Supreme Personality of Godhead; amsah -- partial representative; jatah -- born; loka -- the entire world; rirakshaya -- with a desire to protect; iyam -- this female; ca -- also; tat-para -- very much attached to him; hi -- certainly; srih -- the goddess of fortune; anujajne -- took birth; anapayini -- inseparable.
In the form of King Prithu, the Supreme Personality of Godhead has appeared through a part of His potency to protect the people of the world. The goddess of fortune is the constant companion of the Lord, and therefore she has incarnated partially as Arci to become King Prithu's queen.
In Bhagavad-gita the Lord says that whenever one sees an extraordinary power, he should conclude that a specific partial representation of the Supreme Personality of Godhead is present. There are innumerable such personalities, but not all of them are direct vishnu-tattva plenary expansions of the Lord. Many living entities are classified among the sakti-tattvas. Such incarnations, empowered for specific purposes, are known as saktyavesa-avataras. King Prithu was such a saktyavesa-avatara of the Lord. Similarly, Arci, King Prithu's wife, was a saktyavesa-avatara of the goddess of fortune.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupada, Founder Acarya of the International Society for Krishna Consciousness