# Thread: definite article: points A and B/the points A and B

1. ## definite article: points A and B/the points A and B

Hello teachers,

Greetings!

I am having a new confusion!

Here are a few sentences from a paragraph (the boxes are all greek characters or are in math mode):

Let points A and B be outside of circle w. Through the points A and B are drawn tangents AB and CD to [the] circle w. Prove that if the segment AB intersects the circle w, then E, and if it does not intersect, then F.

• Is the definite article before points correct here? If yes, is it because the said points have already been mentioned in the previous sentence?
• Going by the same logic, should a definite article be inserted before the word circle? (within the square brackets)

The author is inconsistent with such usage of the definite article.

Source: Geometric Inequalities, by Sedrakyan (pre-press)

Thank you! 2. ## Re: definite article: points A and B/the points A and B Originally Posted by LaMelange Let points [a] and [b] be outside of circle [c]. Through the points [d] and [e] are drawn tangents [f] and [g] to [the] circle [h]. Prove that if the segment [i] intersects the circle [j], then [k], and if it does not intersect, then [l].

• Is the definite article before points correct here? If yes, is it because the said points have already been mentioned in the previous sentence?
• Going by the same logic, should a definite article be inserted before the word circle? (within the square brackets)

The author is inconsistent with such usage of the definite article.
I have made your question a little more manageable. 3. ## Re: definite article: points A and B/the points A and B Originally Posted by Piscean I have made your question a little more manageable.
Thanks a million, Piscean!

But I had rectified that problem yesterday itself. I do not understand how the change did not reflect here. #### Posting Permissions

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