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अज्ञानज्ञानयोस्तत्त्वं विवेचयति हंसकः॥ हंसरूपं धृतं तेन ब्रह्मणा सृष्टिकारिणा ॥ ११ ॥
The swan understands the distinction between ignorance and knowledge. Hence I (Brahmā) the Creator, assumed the form of Swan.
english translation
विवेको नैव लब्धश्च यतो हंसो व्यलीयत ॥ शिवस्वरूपतत्त्वस्य ज्योतिरूपस्य नारद ॥ १२ ॥
O Nārada! But I failed to cognize the refulgent form of Śiva and therefore could not exercise my power of discrimination.
english translation
सृष्टिप्रवृत्तिकामस्य कथं ज्ञानं प्रजायते ॥ यतो लब्धो विवेकोऽपि न मया हंसरूपिणा ॥ १३ ॥
How can real knowledge dawn on one who is engaged in activities of creation? Hence though in the form of Swan I could not attain the power of discrimination.
english translation
गमनेऽधो वराहस्य गतिर्भवति निश्चला ॥ धृतं वाराहरूपं हि विष्णुना वनचारिणा ॥ १४ ॥
A boar has the power of steadily going deep below. Hence Viṣṇu, the wanderer in the forest, assumed the form of the boar.
english translation
अथवा भवकल्पार्थं तद्रूपं हि प्रकल्पितम् ॥ विष्णुना च वराहस्य भुवनावनकारिणा ॥ १५ ॥
Or Viṣṇu, the protector of all the worlds assumed the form of a Boar to start a new Kalpa (Aeon).
english translation