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tvam deha-tantrah prasamaya papmanam
nidesa-bhajam ca vibho vibhutaye
yathavataras tava sukaradayas
tathayam apy atma-pathopalabdhaye
Translation by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada:
My dear Lord, You have assumed this body in order to diminish the sinful activities of the fallen and to enrich their knowledge in devotion and liberation. Since these sinful people are dependent on Your direction, by Your own will You assume incarnations as a boar and as other forms. Similarly, You have appeared in order to distribute transcendental knowledge to Your dependents.
Purport by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada:
In the previous verses, the general transcendental qualifications of the Supreme Personality of Godhead were described. Now the specific purpose of the Lord’s appearance is also described. By His different energies He bestows different kinds of bodies upon the living entities, who are conditioned by their propensity to lord it over material nature, but in course of time these living entities become so degraded that they need enlightenment. It is stated in Bhagavad-gita that whenever there are discrepancies in the discharge of the real purpose of this material existence, the Lord appears as an incarnation. The Lord’s form as Kapila directs the fallen souls and enriches them with knowledge and devotion so that they may go back to Godhead. There are many incarnations of the Supreme Personality of Godhead, like those of the boar, the fish, the tortoise and the half-man half-lion. Lord Kapiladeva is also one of the incarnations of Godhead. It is accepted herein that Lord Kapiladeva appeared on the surface of the earth to give transcendental knowledge to the misguided conditioned souls.