word choice - Use of definite article referring to figures and tables
There are tables and figures in a document, uniquely identifiable by their numbers.
We want to refer to them in several places. Which one is preferable in academic English writing and why?
In figure 1 ...
In the figure 1 ...With the help of table 1 ...
With the help of the table 1 ...Lemma 1 helps ...
The lemma 1 helps ...
Answer
Do not use an article in such a case. This is a common error made by non-native speakers.
You do not use articles with proper names. For example, you would say "I went to a grocery store", but "I went to Smith's Grocery Store". Numbered figures or tables are generally treated as proper names. So, "See the second figure below" — descriptive, not a proper name; but "See Figure 2 below" — a proper name.
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