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  1. Member
    Interested in Language
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      • Tamil
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      • India
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    • Join Date: Jun 2012
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    #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:

    Let points A and B be outside of circle w. Through the points A and B are drawn tangents AM and BN to [the] circle w. Prove that if the segment AB intersects the circle w, then AB > AM + BN, and if it does not intersect, then ABAM + BM.



    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. Editor, UsingEnglish.com
    English Teacher
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      • Native Language:
      • British English
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      • UK
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      • Japan

    • Join Date: Nov 2002
    • Posts: 66,900
    #2

    Re: definite article---points A and B/the points A and B

    I would either use no articles or both.

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