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  2. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

  3. On the Bondage of the Will - Wikipedia

    en.wikipedia.org/wiki/On_the_Bondage_of_the_Will

    As such, there is no free will for humanity, as far as salvation is concerned, because any will they might have is overwhelmed by the influence of sin. [6] If Satan rides, it [the will] goes where Satan wills. If God rides, it goes where God wills. In either case there is no 'free choice'. —

  4. Augustinian theodicy - Wikipedia

    en.wikipedia.org/wiki/Augustinian_theodicy

    Secondly, he believed that Adam and Eve's choice to sin affected our free choice, and that humans are left unable to resist sin. [20] Augustine proposed that the grace of Jesus Christ freed humans from original sin, but he maintained that humans can only be saved if they choose to receive grace, and that this choice is formed by the character ...

  5. Sanctification in Christianity - Wikipedia

    en.wikipedia.org/wiki/Sanctification_in_Christianity

    Sanctification is that renewal of our fallen nature by the Holy Ghost, received through faith in Jesus Christ, whose blood of atonement cleanseth from all sin; whereby we are not only delivered from the guilt of sin, but are washed from its pollution, saved from its power, and are enabled, through grace, to love God with all our hearts and to ...

  6. Impeccability - Wikipedia

    en.wikipedia.org/wiki/Impeccability

    "First, Christ was free of actual sin." [3] Studying the gospels there is no reference to Jesus praying for the forgiveness of sin, nor confessing sin. The assertion is that Jesus did not commit sin, nor could he be proven guilty of sin; he had no vices. In fact, he is quoted as asking, "Can any of you prove me guilty of sin?" in John 8:46.

  7. Treasury of merit - Wikipedia

    en.wikipedia.org/wiki/Treasury_of_Merit

    [T]he 'treasury of the Church' is the infinite value, which can never be exhausted, which Christ's merits have before God. They were offered so that the whole of mankind could be set free from sin and attain communion with the Father. In Christ, the Redeemer himself, the satisfactions and merits of his Redemption exist and find their efficacy.

  8. Absolution - Wikipedia

    en.wikipedia.org/wiki/Absolution

    Thomas Aquinas (c.1224–1274) taught: "God alone absolves from sin and forgives sins authoritatively; yet priests do both ministerially, because the words of the priest in this sacrament work as instruments of the Divine power, as in the other sacraments: because it is the Divine power that works inwardly in all the sacramental signs, be they ...

  9. Theodicy - Wikipedia

    en.wikipedia.org/wiki/Theodicy

    The book exemplifies the power of sin in that "The main point is stated at the beginning and at the end—'the soul that sins shall die. '" This 'power of sin' was abolished in the death and resurrection of Jesus Christ which renders all believers in Christ and his resurrection, forgiven and therefore righteous. The aforementioned main point ...