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Buddha and Vishnu

Question: 
Is Buddha an incarnation of Vishnu?

Buddha is included in the list of Krishna's many avatars. Every incarnation of God—even Lord Vishnu—originates from Krishna.

"All of the above-mentioned incarnations are either plenary portions or portions of the plenary portions of the Lord, but Lord Sri Krishna is the original Personality of Godhead. All of them appear on planets whenever there is a disturbance created by the atheists. The Lord incarnates to protect the theists." (Srimad-Bhagavatam, 1.3.28)

The poet Jayadeva Goswami also wrote a beautiful song about Krishna's ten most prominent incarnations:

(Matsya:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of a fish! All glories to You! You easily acted as a boat in the form of a giant fish to give protection to the Vedas, which had sunk in the turbulent sea of devastation.

(Kurma:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of a tortoise! All glories to You! The great Mount Mandara rests upon Your gigantic back, which acts as a pivot for churning the ocean of milk and which has thus been marked with a large circular scarlike depression. In this way Your back has become most glorious.

(Varaha:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of a boar! All glories to You! The earth, which had sunk to the bottom of the Garbha Ocean, sits fixed upon the tip of Your tusk like a spot upon the moon.

(Nrsimha:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of a half-man, half-lion! All glories to You! With the wonderfully sharp nails on Your beautiful lotus hands You have ripped apart the wasplike body of Hiranyakashipu.

(Vamana:)

O Kesava! O Lord of the universe! O Lord Hari who have assumed the form of a wonderful dwarf brahmana! All glories to You! With Your massive steps You deceive King Bali, and with the Ganges water emanating from the nails of Your lotus feet You deliver all living beings in this world.

(Parashurama:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of Bhrigupati [Parashurama]! All glories to You! You bathe the earth in the rivers of blood from the bodies of the demonic kshatriyas [warriors] You have slain. In this way you wash away the sins of the world and give relief to those who suffer in material existence

(Ramachandra:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of Ramachandra! All glories to You! In the battle of Lanka You destroy the ten-headed demon Ravana and distribute his heads as a delightful offering to the presiding deities of the ten directions—a feat long desired by them all, whom that monster had much harassed.

(Balarama:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of plow-wielding Balarama! All glories to You! On Your brilliant white body You wear garments colored like a fresh rain cloud and the river Yamuna, whom You frighten with the blows of Your plow.

(Buddha:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of Buddha! All glories to You! Your heart filled with compassion, you decry animal slaughter performed according to the scriptural rules of Vedic sacrifice.

(Kalki:)

O Keshava! O Lord of the universe! O Lord Hari who have assumed the form of Kalki! All glories to You! Like a comet bearing an indescribably terrifying sword, You annihilate the wicked barbarian kings at the end of Kali-yuga.

O Keshava! O Lord of the universe! O Lord Hari, who have assumed these ten different incarnations! All glories to You! O readers, please hear this most excellent hymn by poet Jayadeva, for it bestows happiness and good fortune and is the best thing in this dark world.

O Lord Krishna, I offer my obeisances unto You, who incarnate in these ten forms. In the form of Matsya You rescue the Vedas, as Kurma You bear Mount Mandara on Your back, as Varaha You lift the earth on Your tusk, as Narasimha You tear open the chest of the demon Hiranyakashipu, as Vamana You trick King Bali, as Parashurama You slay all the wicked ksatriyas, as Ramachandra you defeat Ravana, the son of Pulastya, as Balarama You carry a plow, as Lord Buddha You show compassion toward all, and as Kalki You kill the mlecchas [barbarians]."