Devi Sarasvati: in Hindu civilization. Sarasvati on the lip (snout) of a Varaha monolithic sculpture.
Why is Sarasvati shown on the upper lip (snout) of Varaha? Varaha is the 3rd avatar of Vishnu, rescuing the earth and the Vedas from the pralayam. Sarasvati on the lip of Varaha is a metaphor for Vaak and Vedas (Knowledge).
Varaha is Veda purusha, the avatar who ensured the continued prevalence of the Knowledge embodied in the Vedas.
Along with various divinities, shown on the body of Viṣṇu's Varāhāvatara, third among incarnations, Sarasvatī figures appropriately on the mouth of Varāha Boar's monolithic image at Khajurāho (10th cent.)
Contemplating on pan-Indian tendencies of making images of Sarasvatī in the Hindu, Buddhist and Jaina pantheons, Catherine Ludvik, with her extensive researches on the theme[*], suggests two possibilities of Sarasvatī's feminine form : 1. the Mahābhārata narrative details, 2. Or, the other way around 'the female figure of Sarasvatī in the epic (Mahābhārata) might conceivably have been inspired from already existing, but no longer extant or known to be extant, representations of her' [Ludvik 107]. Thus the origin of Sarasvatī's iconographic conceptualization goes back to the third century bce. From then on gradually her human-like representations developed in the three different religions of the Hindu, Buddhist and Jain.
Vedābnāṁ mātaraṁ paśya matsthāṁ.
'Behold goddess Sarasvatī, the mother of Vedas enshrined in me' says Nārāyaṇa to Nārada [Vyasa's Mahābhārata, 12 : 326 : 5.]
Sarasvatīha vāgbhūtā śarīram te pravekṣyati
Sarasvatī enters the body as speech - [supra 12 : 306 : 6.]
jihvāyām vāk Sarasvatī
Sarasvatī dwells in the tongue [- ibid 12 : 231 : 8.].
devī jihvā sarasvatī
'goddess Sarasvatī is (your) tongue' says Bhīṣma, in veneration of Viṣṇu - [supra 6 : 61 : 56.].
parama jinendra-vāṇiye Sarasvatī
the supreme Lord Jina's preaching is Sarasvatī - [Pampa, Ādipurāṇa, 1-16.].
The Mahābhārata has referred to Sarasvatī as vāc [12 : 306 : 6] and vaṇī [3 : 132 : 2].
Besides, her beautiful form and lovely celestial body is lauded [3 : 184 : 18].
rūpaṁ ca te divyam atyanta kāntam
Canto 3: The Status Quo Chapter 18: The Battle Between Lord Boar and the Demon Hiranyaksha
Bhaktivedanta VedaBase: Srimad Bhagavatam
SB 3.18.1: Maitreya continued: The proud and falsely glorious Daitya paid little heed to the words of Varuna. O dear Vidura, he learned from Narada the whereabouts of the Supreme Personality of Godhead and hurriedly betook himself to the depths of the ocean.
SB 3.18.2: He saw there the all-powerful Personality of Godhead in His boar incarnation, bearing the earth upward on the ends of His tusks and robbing him of his splendor with His reddish eyes. The demon laughed: Oh, an amphibious beast!
SB 3.18.3: The demon addressed the Lord: O best of the demigods, dressed in the form of a boar, just hear me. This earth is entrusted to us, the inhabitants of the lower regions, and You cannot take it from my presence and not be hurt by me.
SB 3.18.4: You rascal, You have been nourished by our enemies to kill us, and You have killed some demons by remaining invisible. O fool, Your power is only mystic, so today I shall enliven my kinsmen by killing You.
SB 3.18.5: The demon continued: When You fall dead with Your skull smashed by the mace hurled by my arms, the demigods and sages who offer You oblations and sacrifice in devotional service will also automatically cease to exist, like trees without roots.
SB 3.18.6: Although the Lord was pained by the shaftlike abusive words of the demon, He bore the pain. But seeing that the earth on the ends of His tusks was frightened, He rose out of the water just as an elephant emerges with its female companion when assailed by an alligator.
SB 3.18.7: The demon, who had golden hair on his head and fearful tusks, gave chase to the Lord while He was rising from the water, even as an alligator would chase an elephant. Roaring like thunder, he said: Are You not ashamed of running away before a challenging adversary? There is nothing reproachable for shameless creatures!
SB 3.18.8: The Lord placed the earth within His sight on the surface of the water and transferred to her His own energy in the form of the ability to float on the water. While the enemy stood looking on, Brahma, the creator of the universe, extolled the Lord, and the other demigods rained flowers on Him.
SB 3.18.9: The demon, who had a wealth of ornaments, bangles and beautiful golden armor on his body, chased the Lord from behind with a great mace. The Lord tolerated his piercing ill words, but in order to reply to him, He expressed His terrible anger.
SB 3.18.10: The Personality of Godhead said: Indeed, We are creatures of the jungle, and We are searching after hunting dogs like you. One who is freed from the entanglement of death has no fear from the loose talk in which you are indulging, for you are bound up by the laws of death.
SB 3.18.11: Certainly We have stolen the charge of the inhabitants of Rasatala and have lost all shame. Although bitten by your powerful mace, I shall stay here in the water for some time because, having created enmity with a powerful enemy, I now have no place to go.
SB 3.18.12: You are supposed to be the commander of many foot soldiers, and now you may take prompt steps to overthrow Us. Give up all your foolish talk and wipe out the cares of your kith and kin by slaying Us. One may be proud, yet he does not deserve a seat in an assembly if he fails to fulfill his promised word.
SB 3.18.13: Sri Maitreya said: The demon, being thus challenged by the Personality of Godhead, became angry and agitated, and he trembled in anger like a challenged cobra.
SB 3.18.14: Hissing indignantly, all his senses shaken by wrath, the demon quickly sprang upon the Lord and dealt Him a blow with his powerful mace.
SB 3.18.15: The Lord, however, by moving slightly aside, dodged the violent mace-blow aimed at His breast by the enemy, just as an accomplished yogi would elude death.
SB 3.18.16: The Personality of Godhead now exhibited His anger and rushed to meet the demon, who bit his lip in rage, took up his mace again and began to repeatedly brandish it about.
SB 3.18.17: Then with His mace the Lord struck the enemy on the right of his brow, but since the demon was expert in fighting, O gentle Vidura, he protected himself by a maneuver of his own mace.
SB 3.18.18: In this way, the demon Haryaksha and the Lord, the Personality of Godhead, struck each other with their huge maces, each enraged and seeking his own victory.
SB 3.18.19: There was keen rivalry between the two combatants; both had sustained injuries on their bodies from the blows of each other's pointed maces, and each grew more and more enraged at the smell of blood on his person. In their eagerness to win, they performed maneuvers of various kinds, and their contest looked like an encounter between two forceful bulls for the sake of a cow.
SB 3.18.20: O descendant of Kuru, Brahma, the most independent demigod of the universe, accompanied by his followers, came to see the terrible fight for the sake of the world between the demon and the Personality of Godhead, who appeared in the form of a boar.
SB 3.18.21: After arriving at the place of combat, Brahma, the leader of thousands of sages and transcendentalists, saw the demon, who had attained such unprecedented power that no one could fight with him. Brahma then addressed Narayana, who was assuming the form of a boar for the first time.
SB 3.18.22-23: Lord Brahma said: My dear Lord, this demon has proved to be a constant pinprick to the demigods, the brahmanas, the cows and innocent persons who are spotless and always dependent upon worshiping Your lotus feet. He has become a source of fear by unnecessarily harassing them. Since he has attained a boon from me, he has become a demon, always searching for a proper combatant, wandering all over the universe for this infamous purpose.
SB 3.18.24: Lord Brahma continued: My dear Lord, there is no need to play with this serpentine demon, who is always very skilled in conjuring tricks and is arrogant, self-sufficient and most wicked.
SB 3.18.25: Brahma continued: My dear Lord, You are infallible. Please kill this sinful demon before the demoniac hour arrives and he presents another formidable approach favorable to him. You can kill him by Your internal potency without doubt.
SB 3.18.26: My Lord, the darkest evening, which covers the world, is fast approaching. Since You are the Soul of all souls, kindly kill him and win victory for the demigods.
SB 3.18.27: The auspicious period known as abhijit, which is most opportune for victory, commenced at midday and has all but passed; therefore, in the interest of Your friends, please dispose of this formidable foe quickly.
SB 3.18.28: This demon, luckily for us, has come of his own accord to You, his death ordained by You; therefore, exhibiting Your ways, kill him in the duel and establish the worlds in peace.