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Another two parallels
jayme   2
N Apr 28, 2025 by jayme
Dear Mathlinkers,

1. ABCD a square
2. (A) the circle with center at A passing through B
3. P the points of intersection of the segment AC and (A)
4. I the midpoint of AB
5. Q the point of intersection of the segment IC and (A)
6. M the foot of the perpendicular to (AB) through P.
7. Y the point of intersection of the segment MC and (A)
8. X the point of intersection de AY and BC.

Prove : QX is parallel to AB.

Jean-Louis
2 replies
jayme
Apr 28, 2025
jayme
Apr 28, 2025
Another two parallels
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jayme
9805 posts
#1
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Dear Mathlinkers,

1. ABCD a square
2. (A) the circle with center at A passing through B
3. P the points of intersection of the segment AC and (A)
4. I the midpoint of AB
5. Q the point of intersection of the segment IC and (A)
6. M the foot of the perpendicular to (AB) through P.
7. Y the point of intersection of the segment MC and (A)
8. X the point of intersection de AY and BC.

Prove : QX is parallel to AB.

Jean-Louis
This post has been edited 2 times. Last edited by jayme, Apr 28, 2025, 1:29 PM
Reason: typo
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jayme
9805 posts
#2
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Sorry, I have corrected some typos...

Sincerely
Jean-Louis
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jayme
9805 posts
#3
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Any ideas?

Sincerely
Jean-Louis
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