The following analysis is of the official extracts from the History of the Church, Vol. 4, pp. 535—541.

I will add some pertinent comments in blue.

1. We believe in God, the Eternal Father, and in His Son, Jesus Christ, and in the Holy Ghost. In Mormon theology, these constitute three Gods in one Godhead.
   
2. We believe that men will be punished for their own sins, and not for Adam’s transgression. See section on "Mercy and justice" in Basic Beliefs.
   
3. We believe that through the Atonement of Christ, all mankind may be saved, by obedience to the laws and ordinances of the Gospel. There are various definitions of the what it means to be saved.
   
4. We believe that the first principles and ordinances of the Gospel are: first, Faith in the Lord Jesus Christ; second, Repentance; third, Baptism by immersion for the remission of sins; fourth, Laying on of hands for the gift of the Holy Ghost. Joseph Smith also has another first principle. This is from page 305 of Gospel Principles: "This is the way our Heavenly Father became God. It is the first principle of the Gospel to know for a certainty the character of God.... He was once a man like us;... God himself, the Father of us all, dwelt on an earth, the same as Jesus Christ himself did (Teachings of the Prophet Joseph Smith, pp. 345–46)".
   
5. We believe that a man must be called of God, by prophecy, and by the laying on of hands by those who are in authority, to preach the Gospel and administer in the ordinances thereof.
   
6. We believe in the same organization that existed in the Primitive Church, namely, apostles, prophets, pastors, teachers, evangelists, and so forth. The LDS Church has introduced new offices like Quorum, Seventies, and Aaronic Priests.
   
7. We believe in the gift of tongues, prophecy, revelation, visions, healing, interpretation of tongues, and so forth.
   
8. We believe the Bible to be the word of God as far as it is translated correctly; we also believe the Book of Mormon to be the word of God.
   
9. We believe all that God has revealed, all that He does now reveal, and we believe that He will yet reveal many great and important things pertaining to the Kingdom of God.
   
10. We believe in the literal gathering of Israel and in the restoration of the Ten Tribes; that Zion (the New Jerusalem) will be built upon the American continent; that Christ will reign personally upon the earth; and, that the earth will be renewed and receive its paradisiacal glory. See the chapter called The American Eden in free book offer (Ensign).
    
11. We claim the privilege of worshiping Almighty God according to the dictates of our own conscience, and allow all men the same privilege, let them worship how, where, or what they may. Jesus is the Almighty God according to scriptures.
    
12. We believe in being subject to kings, presidents, rulers, and magistrates, in obeying, honoring, and sustaining the law.
    
13. We believe in being honest, true, chaste, benevolent, virtuous, and in doing good to all men; indeed, we may say that we follow the admonition of Paul—We believe all things, we hope all things, we have endured many things, and hope to be able to endure all things. If there is anything virtuous, lovely, or of good report or praiseworthy, we seek after these things.
    
    Author: Joseph Smith