Satisfaction and Substitution Outlined

Excerpt from John Owen [Substitution - Chapel Library] :

"The sum of what the Scripture reveals about this great truth, commonly called the “satisfaction of Christ,” may be reduced unto these ensuing heads:
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EIGHTHLY: That the way in general, whereby the Son of God being incarnate was to save lost sinners, was by a substitution of Himself, according to the design and appointment of God, in the room of those whom He was to save: “For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him” (2 Corinthians 5:21). “Christ hath redeemed us from the curse of the law, being made a curse for us” (Galatians 3:13). “For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die. But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us” (Romans 5:7-8). “For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh: That the righteousness of the law might be fulfilled in us” (Romans 8:3-4). “Who his own self bare our sins in his own body on the tree” (1 Peter 2:24). “For Christ also hath once suffered for sins, the just for the unjust, that he might bring us to God” (1 Peter 3:18). All these expressions undeniably evince a substitution of Christ as to suffering in the stead of them whom He was to save. [This], in general, is all that we intend by His satisfaction, namely, that He was made “sin for us,” a “curse for us,” “died for us,” that is, in our stead that we might be saved from the wrath to come.
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If the Lord Christ, according to the will of the Father and by His own counsel and choice, was substituted and did substitute Himself as the Mediator of the covenant in the room and in the stead of sinners that they might be saved and therein bare their sins, or the punishment due unto their sins, by undergoing the curse and penalty of the Law, and therein also, according to the will of God, offered up Himself for a propitiatory, expiatory sacrifice to make atonement for sin and reconciliation for sinners that the justice of God being appeased and the Law fulfilled, they might go free or be delivered from the wrath to come; and if therein also He paid a real satisfactory price for their redemption then He made satisfaction to God for sin. These are the things that we intend by that expression of satisfaction."