# 5

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### Transcription

rule does. As to insertions, they may be restricted, without

losing any result which they could bring about, to

the insertion unenclosed of a scroll with the same graph

in its two areas. Suppose, for example, you have the

graph g and you wish to introduce a spot a. You

have only to write

g

The putting a double cut

about the outer __a__, you get

g

Then by twice iterating g you get

This is precisely the 5th Operation of our rule. Now, then,

is there any further difficulty? Yes there is. What

is it? It is that half of the operations, those of insertion,

iteration, and adding a double cut, complicate

the graph, and thus lead to a result [??who] possibility

or impossibility is, ~~less evident~~ even harder to make out, than was that

of the original graph. The cure for this is carefully

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