(38:3) Therefore the mind ([xi] Coroll.) necessarily perceives A
adequately, and has this adequate perception, both in so far as it
perceives itself, and in so far as it perceives its own or any external
body, nor can A be conceived in any other manner. Q.E.D.
Corollary.- (38:4) Hence it follows that there are certain ideas or
notions common to all men; for (by [L.iii] ) all bodies agree in
certain respects, which (by [xxxvii] ) must be adequately or clearly
and distinctly perceived by all.
Prop.XXXIX That, which is common to and a property of the
human body and such other bodies as are wont to
affect the human body, and which is present
equally in each part of either, or in the whole,
will be represented by an adequate idea in the
mind.
Proof.- (39:1) If A be that, which is common to and a property of the
human body and external bodies, and equally present in the human body
and in the said external bodies, in each part of each external body and
in the whole, there will be an adequate idea of A in God ([vii] Coroll.),
both in so far as he has the idea of the human body, and in so far as
he has the ideas of the given external bodies. (39:2) Let it now be
granted, that the human body is affected by an external body through
that, which it has in common therewith, namely, A; the idea of this
modification will involve the property A ([xvi] ), and therefore ([vii]
Coroll.
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