53

49

nature of a diagram, whether on paper or in the imagination.
I draw a distinction between Corollarial
consequences and Theorematic consequences. A
corollarial consequence is one the truth of which will
become evident simply upon attentive observation of a
diagram constructed so as to represent the conditions
stated in the conclusion. A theorematic consequence is one
which only becomes evident after some experiment has
been performed upon the diagram, such as the addition
to it of parts not mentioned necessarily referred to in the statement of the
conclusion. In the present case, I am going to
draw a conclusion about a double enclosure
that is, two cuts one within the other and with
the annular space between them blank like this

The observation which I ask you to make is that

49

nature of a diagram, whether on paper or in the imagination.
I draw a distinction between Corollarial
consequences and Theorematic consequences. A
corollarial consequence is one the truth of which will
become evident simply upon attentive observation of a
diagram constructed so as to represent the conditions
stated in the conclusion. A theorematic consequence is one
which only becomes evident after some experiment has
been performed upon the diagram, such as the addition
to it of parts not necessarily referred to in the statement of the
conclusion. In the present case, I am going to
draw a conclusion about a double enclosure
that is, two cuts one within the other and with
the annular space between them blank like this
\vscroll {\ }{y}
The observation which I ask you to make is that