Da Vinci Notes #57 - Find Something Outside to Prove
How to measure the pyramid of vision.
As regards the point in the eye; it is made more intelligible by
this: If you look into the eye of another person you will see your
own image.
Now imagine 2 lines starting from your ears and going to the
ears of that image which you see in the other man's eye; you
will understand that these lines converge in such a way that they
would meet in a point a little way beyond your own image mirrored in
the eye. And if you want to measure the diminution of the pyramid in
the air which occupies the space between the object seen and the
eye, you must do it according to the diagram figured below.
Let _mn_ be a tower, and _e f_ a, rod, which you must move backwards
and forwards till its ends correspond with those of the tower; then
bring it nearer to the eye, at _c d_and you will see that the image of
the tower seems smaller, as at _ro_. Then [again] bring it closer to
the eye and you will see the rod project far beyond the image of
the tower from _a_ to _b_ and from _t_ to _b_, and so you will
discern that, a little farther within, the lines must converge in a point.
Keith's Ideas:
1. To prove something which can't be proved from inside, find
something from outside!
2. If you can't prove something by evidences, use deduction or
induction.
Keith To