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  2. Midpoint - Wikipedia

    en.wikipedia.org/wiki/Midpoint

    Any line perpendicular to any chord of a circle and passing through its midpoint also passes through the circle's center. The butterfly theorem states that, if M is the midpoint of a chord PQ of a circle, through which two other chords AB and CD are drawn; AD and BC intersect chord PQ at X and Y correspondingly, then M is the midpoint of XY.

  3. Special cases of Apollonius' problem - Wikipedia

    en.wikipedia.org/wiki/Special_cases_of_Apollonius...

    The two circles in the Two points, one line problem where the line through P and Q is not parallel to the given line l, can be constructed with compass and straightedge by: Draw the line m through the given points P and Q. The point G is where the lines l and m intersect; Draw circle C that has PQ as diameter. Draw one of the tangents from G to ...

  4. Aristotle's axiom - Wikipedia

    en.wikipedia.org/wiki/Aristotle's_axiom

    Given a line A and a point P on A, as well as two intersecting lines M and N, both parallel to A there exists a line G through P which intersects M but not N. Given a line A as well as two intersecting lines M and N, both parallel to A, there exists a line G which intersects A and M, but not N. Given a line A and two distinct intersecting lines ...

  5. Symmedian - Wikipedia

    en.wikipedia.org/wiki/Symmedian

    In geometry, symmedians are three particular lines associated with every triangle.They are constructed by taking a median of the triangle (a line connecting a vertex with the midpoint of the opposite side), and reflecting the line over the corresponding angle bisector (the line through the same vertex that divides the angle there in half).

  6. AOL Mail

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  7. Poncelet–Steiner theorem - Wikipedia

    en.wikipedia.org/wiki/Poncelet–Steiner_theorem

    To draw the parallel (h) to a diameter g through any given point P. Chose auxiliary point C anywhere on the straight line through B and P outside of BP. (Steiner) In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules.

  8. ‘Food Tripping’ by Huffington Post

    testkitchen.huffingtonpost.com/foodtripping

    One Summer, 50 States

  9. AOL Mail - AOL Help

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    Get answers to your AOL Mail, login, Desktop Gold, AOL app, password and subscription questions. Find the support options to contact customer care by email, chat, or phone number.