Proof.--From the sole necessity of the essence of God it
follows that God is the cause of himself (Prop. xi.) and of all
things (Prop. xvi. and Coroll.). Wherefore the power of God, by
which he and all things are and act, is identical with his
essence. Q.E.D.
PROP. XXXV. Whatsoever we conceive to be in the power of God,
necessarily exists.
Proof.--Whatsoever is in God's power, must (by the last Prop.)
be comprehended in his essence in such a manner, that it
necessarily follows therefrom, and therefore necessarily exists.
Q.E.D.
PROP. XXXVI. There is no cause from whose nature some effect
does not follow.
Proof.--Whatsoever exists expresses God's nature or essence in
a given conditioned manner (by Prop. xxv., Coroll.); that is,
(by Prop. xxxiv.), whatsoever exists, expresses in a given
conditioned manner God's power, which is the cause of all things,
therefore an effect must (by Prop. xvi.) necessarily follow.
Q.E.D.
APPENDIX:
In the foregoing I have explained the nature and properties
of God. I have shown that he necessarily exists, that he is one:
that he is, and acts solely by the necessity of his own nature;
that he is the free cause of all things, and how he is so;
that all things are in God, and so depend on him, that without
him they could neither exist nor be conceived; lastly, that all
things are predetermined by God, not through his free will or
absolute fiat, but from the very nature of God or infinite power.
I have further, where occasion afforded, taken care to remove the
prejudices, which might impede the comprehension of my
demonstrations. Yet there still remain misconceptions not a few,
which might and may prove very grave hindrances to the
understanding of the concatenation of things, as I have explained
it above. I have therefore thought it worth while to bring these
misconceptions before the bar of reason.