p⋍(１/2)±11⒤[√(1-s)-(q/11)]

橋本p97	[　　a　] 1
円周	C-A-　B-D
	(a+1)/2､()/2
(複比)a	AD・BC	(a+1)/2			・a⋍a
	AC・BD	(a+1)/2			・1
(線分長)	(1/2)ℓoｇ（a） ⋍ℓoｇ√a	⋍	ℓoｇ√(2k+1)
行列式)k	(a＾2-1)/2⋍	2k/2⋍k
p⋍(１/2)±11⒤[√(1-s)-(q/11)]
文献値	文/11	(	s	)	+s/11	⋍√2k+1	⋍2k+1
14.13472	1.28497454545455	(	5	)	0.45454545454546	1.73952	3.026
21.02203	1.91109363636364	(	4	)	0.36363636363636	2.27473	5.174
25.01085	2.27371363636364	(	4	)	0.36363636363636	2.63735	6.956
30.42487	2.76589727272727	(	6	)	0.54545454545455	3.31135	10.965
32.93506	2.99409636363636	(	7	)	0.63636363636364	3.63046	13.180
37.58617	3.41692454545455	(	5	)	0.45454545454546	3.87147	14.988
40.91871	3.71988272727273	(	5	)	0.45454545454546	4.17443	17.426
43.32707	3.93882454545455	(	5	)	0.45454545454546	4.39337	19.302
48.00515	4.36410454545455	(	5	)	0.45454545454546	4.81865	23.219
49.77383	4.52489363636364	(	4	)	0.36363636363636	4.88853	23.898
52.97	4.81545454545455	(	5	)	0.45454545454546	5.27000	27.773
56.446	5.13145454545455	(	5	)	0.45454545454546	5.58600	31.203
59.347	5.39518181818182	(	2	)	0.18181818181818	5.57700	31.103
60.831	5.53009090909091	(	1	)	0.09090909090909	5.62100	31.596
65.112	5.91927272727273	(	3	)	0.27272727272727	6.19200	38.341
75.8	6.89090909090909	(	10	)	0.90909090909091	7.80000	60.840

∴s(1-s)=ｰℓ(ℓ+1)=ｰα(α+1)ﾙｼﾞｬﾝﾝﾄﾞﾙ

1：x⋍x:a	（相似）
x＾2⋍a＾2	∴ｘ⋍√a				斜辺
ｓ(零点)	1-s⋍a⋍2k+1		ｘ⋍√a		a(a+1)	ΔL	Δb
-2	3	⋍√	3	⋍√	12
-4	5	⋍√	5	⋍√	30	18
-6	7	⋍√	7	⋍√	56	26	8
-8	9	⋍√	9	⋍√	90	34	8
-10	11	⋍√	11	⋍√	132	42	8
-12	13	⋍√	13	⋍√	182	50	8
-14	15	⋍√	15	⋍√	240	58	8
-16	17	⋍√	17	⋍√	306	66	8
-18	19	⋍√	19	⋍√	380	74	8
-20	21	⋍√	21	⋍√	462	82	8
α⋍1/2＋δ⒤､	β⋍1/2-δ⒤とおく
(x-α)(x-β)⋍	x＾2-(α+β)x+αβ
∵α+β⋍1､αβ⋍1/4+δ^2
⋍x＾2-x+1/4+δ^2
⋍(x-1/2)^2+δ^2
(s)ｰ2-4-6ｰ8ｰ10…
(1-s)3,5,7,9.11,…
ｓと1-sを入れ替.成立,s=1+ℓとおくと
∴s(1-s)=ｰℓ(ℓ+1)=ｰα(α+1)ﾙｼﾞｬﾝﾝﾄﾞﾙ
x(x+1)+121[(2k+1.25)-δ]⋍0
x＾2+ｘ+3.25-δ⋍0　∴x⋍(-0.5)±[11√3-δ]⒤
p⋍(１/2)±11⒤[√(1-s)-(q/11)]

長さ√aを作図せよ②ﾙｼﾞｬﾝﾄﾞﾙL⋍√(a＾2+a)

長さ√aを作図せよ「笑わない数学」(11/8、NHK)