Analytic geometry

02182019, 03:16 PM
Post: #3




RE: Analytic geometry
(02182019 09:27 AM)yangyongkang Wrote: Hello everyone. I recently encountered a planar geometry problem, I tried to solve it with algebraic methods. There is no need to solve this: see http://www.hpmuseum.org/forum/thread123...#pid111897 Any line in the form x cos(m) + y sin(m) = 1 had distance of 1 to the origin. in other words, all these lines are tangent to the unit circle. Quote:Its geometric meaning is an equilateral triangle surrounded by three tangents of a circle. I think you meant a triangle (not necessarily equilateral), tangents of a unit circle. But, if you really want a equilateral triangle, it is trivial: line 1: whatever angle m you pick line 2 and line 3: use angle m ± 2Pi/3 

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Messages In This Thread 
Analytic geometry  yangyongkang  02182019, 09:27 AM
RE: Analytic geometry  yangyongkang  02182019, 12:09 PM
RE: Analytic geometry  Albert Chan  02182019, 08:48 PM
RE: Analytic geometry  Albert Chan  02182019 03:16 PM
RE: Analytic geometry  Albert Chan  02182019, 05:51 PM
RE: Analytic geometry  Albert Chan  02192019, 10:23 PM
RE: Analytic geometry  Albert Chan  02202019, 09:33 PM

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