Then next incarnation is Vāmana, the dwarf. Lord Vāmana appeared before Bali Mahārāja. That was also another cheating. Bali Mahārāja conquered all the universal planets and the demigods were too much disturbed. So Vāmana Mahārāja... Vāmanadeva went to Bali Mahārāja that "You give me some alms. I am brāhmaṇa. I have come to beg from you." So Bali Mahārāja said, "Yes. I'll give You." So He wanted three feet land only. So by one feet the whole universe was covered, upside, and another feet the other half was covered. Then the third feet Bali Mahārāja said, "Yes, now there is no place. Please keep Your feet on my head. Still my head is there." So Vāmanadeva was very much pleased by the sacrifice of Bali Mahārāja. He gave up everything for the Lord. So he is one of the great authorities. Out of the twelve authorities, Bali Mahārāja is one of the authorities because he sacrificed everything to satisfy the Lord.
And next is Paraśurāma. Paraśurāma, twenty-one times He made a massacre propaganda for killing all the kṣatriya kings. The kṣatriya kings were very much dishonest at that time, so he killed them for twenty-one times. They fled from here and there. And from the history of Mahābhārata it is understood, at that time some of the kṣatriyas fled and took shelter in the European side. And the Indo-European stock is from those kṣatriyas. That is history, inform..., historical information from Mahābhārata.
Then next incarnation is Lord Rāma. So He fought with Rāvaṇa who had ten heads. So ... And the next incarnation is Balarāma. Balarāma is the elder brother of Kṛṣṇa. He is incarnation of Saṅkarṣaṇa, next expansion of Kṛṣṇa. So He was very white in complexion, and He was wearing blue garments, and with His plow He was, sometimes He was angry with Yamunā River, and He tried to dry up the Yamunā River. That description is given here. And Yamunā, out of His fear, she agreed to the proposal of Balarāma. And the next incarnation is Lord Buddha. Lord Buddha, He decried the Vedic principles. Therefore He is calculated as atheist. Anyone who does not agree with the Vedic principles, he is considered as atheist. Just like one who does not believe in the Bible, they are called heathens, similarly, those who do not accept the Vedic principles, they are called atheists. So Lord Buddha although incarnation of Kṛṣṇa, He said that "I do not believe in Vedas." What was the reason? The reason was to save the poor animals. At that time people were sacrificing the poor animals under the plea of Vedic sacrifice. So demonic persons, they want to do something under the protection of authority. Just like a big lawyer takes the protection of the lawbook and he makes the law unlawful. Similarly, the demons are so intelligent that they take advantage of scriptural injunction and do all nonsense. So these things were going on. In the name of Vedic sacrifice, they were killing animals like anything. So Lord became very much compassionate these poor animals, and He appeared as Lord Buddha, and His philosophy was nonviolence. His philosophy was atheist because He said that "There is no God. This combination of matter is a manifestation, and you dismantle the material elements, there will be void and there will be no sense of pleasure and pain. That is the nirvāṇa, ultimate goal of life." That was His philosophy. But actually His mission was to stop animal killing, to stop the men from so much sinful activities. So Lord Buddha is also prayed herewith. So people will be surprised that Lord Buddha is designated as atheist and still the Vaiṣṇavas, they are offering their respectful prayers to Lord Viṣṇu (Buddha). Why? Because the Vaiṣṇava knows how the God is acting for His different purposes. Others, they do not know.
The next avatār incarnation is Kalki. That is yet to take place. Kalki avatāra will appear at the end of this age, Kali-yuga. The age of Kali-yuga, duration of this age is still to be, I mean to say, fulfilled in 400,000's of years. So at the end of Kali, that means at the last stage, after about 400,000's of years, the incarnation of Kali will appear. That is predicted in the Vedic literatures, as Lord Buddha's appearance was also predicted in the Śrīmad-Bhāgavatam. And Śrīmad-Bhāgavatam was compiled five thousand years ago, and Lord Buddha appeared about 2,500 years ago. Therefore about Lord Buddha's appearance it is predicted that at the beginning of Kali-yuga Lord Buddha will appear. There was prediction, and that has actually come to be true. Similarly, there is prediction about Kalki avatāra, and that will also come to be true. So at that time Lord Kalki's business will be simply to kill. No instruction. Just like... In Bhagavad-gītā Lord Kṛṣṇa gave instruction in the shape of Bhagavad-gītā. But at the end of Kali-yuga, people will be so much degraded that there is no more possibility to give any instruction. They will not be able to understand even. At that time the only weapon will be to kill them. And one who is killed by the Lord, he also gets salvation. That is God's all-merciful quality. Either He protects or He kills, the result is the same. So that will be the last stage of this Kali-yuga, and after that, again Satya-yuga, the age of religiosity, will begin. These are the statements of Vedic literature.