The use of ordinary dictionaries in interpreting the law is justified in the same way that chemists use the periodic table.
Conclusion (justified = opinion)
Using ordinary dictionaries to interpret the law is justified, just like a chemist using the periodic table.
Evidence
The periodic table is a convenient source of agreed-upon background info that a chemist can use on the problem on which she's working.
Similarly, an ordinary dictionary can be used by a legal interpreter to resolve terminological issues.
Evaluate
This argument relies on an Analogy, signified by "in the same way". The author is trying to present chemists' using the periodic table as analogous to a lawyer or other legal interpreter's using a dictionary.
Whenever we're trying to weaken an argument based on an analogy, our primary thought is,
The periodic table is a tool used specifically by chemists. It contains information, such as atomic mass and number of electrons, that chemists use in their professional field.
Meanwhile, a dictionary is not a tool specifically for lawyers. So is it just as useful as a professional tool? Are ordinary definitions of words the same as legal definitions of words?
I'm guessing that if I looked up the word corporation in the dictionary, I wouldn't see any part of the definition refer to corporations "as people", yet in American law (thanks to Citizens v. United), the legal definition of corporation involves treating it like a person.
Goal
So let's look for something pointing out a salient difference between using an ordinary dictionary to interpret law and using a periodic table to do chemistry.
We want an answer that helps us argue that it wouldn't be a good idea for a law professional to use an ordinary dictionary to interpret law.