(41) Intersection points between circles

11302020, 02:19 PM
Post: #5




RE: Intersection points between circles
We can also get x directly, from Law of Cosine. Let R_{2} = angle corresponded to side r_{2} (the blue side) \(r_2^2 = d^2 + r_1^2  2\;d\;r_1 \cos(R_2) = d^2 + r_1^2  2\;d\;x \\ ⇒ x = \large{d\over2} + {r_1^2  r_2^2 \over 2d}\) Let Δ = area of the triangle, vertices = (0,0), (x,h), (d,0) \(Δ = \large{d\;h\over2}\) \(⇒ h = \large{2Δ \over d}\) 

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Messages In This Thread 
(41) Intersection points between circles  rawi  11252020, 03:07 PM
RE: Intersection points between circles  Albert Chan  11252020, 06:16 PM
RE: Intersection points between circles  rawi  11252020, 06:48 PM
RE: Intersection points between circles  Albert Chan  11262020, 12:22 AM
RE: Intersection points between circles  Albert Chan  11302020 02:19 PM
RE: Intersection points between circles  rawi  11302020, 05:19 PM
RE: Intersection points between circles  Albert Chan  11302020, 09:03 PM
RE: Intersection points between circles  Albert Chan  12012020, 12:17 AM
RE: Intersection points between circles  SlideRule  11302020, 08:51 PM
RE: Intersection points between circles  rawi  12012020, 09:25 AM
RE: Intersection points between circles  Albert Chan  12012020, 11:59 AM
RE: Intersection points between circles  rawi  12012020, 02:04 PM
RE: Intersection points between circles  Albert Chan  12102020, 01:34 PM

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