Another simple one in the series.
Key words: Geometry, Unusual geometry, Math, Physics, Chemistry, High school, Geometry Olympiads, Free Geometry, Euclidean Geometry, Calculus, Geometric Construction. Oh yes, going-nowhere discussions, haikus, and poems too.
Sunday, May 9, 2010
Saturday, May 8, 2010
Fox 281 - Solution
This solution to 281 was submitted by Bob Ryden. It illustrates Joe's solution as well.
Fox 276 - Solution
Solution to 276 was already known but figure below explains more. By Jim Wilson:
The locus of point P is the arc of a circle. Because the central angle must be twice the subtended arc in measure, the central angle is 60. Thus the major arc has length 10π/6. Since the trajectory would also be over a second arc that is a reflection in AB, the total trajectory is 10π/3.
Thursday, May 6, 2010
Fox 283
This one is updated. We received an excellent solution with geometric construction, that will later be our first construction problem. See ya later...
http://www.8foxes.com/
Tuesday, May 4, 2010
Monday, May 3, 2010
Fox 281
Polar fox: Hey Dervish, listen up! You still believe that the life is beautiful, don't you?
Dervish fox: Most definitely!
Polar fox: Here is my problem: the other day, I killed two little polar bunnies. Where is the beauty in that?
Dervish fox: Did you eat them by yourself?
Polar fox: One was for me; the other was devoured by my cubs in the den.
Dervish fox: How did they feel when they were full? Playfully smiling, right?
Polar fox: Oh, I see where you're going...
Dervish fox: Just like that my friend, death of one may be life for another. Seed decays in the darkness of the soil so that flowers bloom in the sun.
Polar fox: I guess I'll need a heart to believe in what you believe.
Dervish fox: I would start with an eye. Don't just look at it, but try to see...
Dervish fox: Most definitely!
Polar fox: Here is my problem: the other day, I killed two little polar bunnies. Where is the beauty in that?
Dervish fox: Did you eat them by yourself?
Polar fox: One was for me; the other was devoured by my cubs in the den.
Dervish fox: How did they feel when they were full? Playfully smiling, right?
Polar fox: Oh, I see where you're going...
Dervish fox: Just like that my friend, death of one may be life for another. Seed decays in the darkness of the soil so that flowers bloom in the sun.
Polar fox: I guess I'll need a heart to believe in what you believe.
Dervish fox: I would start with an eye. Don't just look at it, but try to see...
Saturday, May 1, 2010
Fox 280
Labels:
Bisector,
Cosine Rule,
Law of Sines,
Triangle,
Trigonometry
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