長岡工業高等専門学校研究紀要

論第48巻（2012）

文ਈ᧼౎ᐈችߩ⚗ᄬ▚㗵㧔㧞㧕ᶗ↰ ๺⧐1࡮ᄖᎹ ৻ੳ 212৻⥸ᢎ⢒⑼㧙ᢙቇ㧔Liberal Arts-Mathematics, Nagaoka National College of Technology㧕㔚ሶ೙ᓮᎿቇ⑼㧔Department of Electronic Control Engineering, Nagaoka National College of Technology㧕

The Sangaku Lost from the Yoita Hachiman Shrine (2)Kazuyoshi WAKUTA1 and Kazuhito TOGAWA 2
Abstract
A mathematical tablet called sangaku was dedicated to the Yoita Hachiman Gǌʊthe Shinto shrine in
the Edo period of Japan. Although the sangaku was lost, fortunately it was recorded in a book “SaishiShinzan”ʊthe collection of sangaku problems. The sangaku is a historical work that shows thewasanʊthe traditional Japanese mathematics in the Edo period. Then, we try to restore the sangaku
dedicated in 1804 through the drawing by computer. Also, from the literature,we infer the solution in theEdo period to the sangaku problem.
Key Words : wasan, sangaku, restoration by computer, solution㧝㧚ߪߓ߼ߦᳯᚭᤨઍฦ࿾ߩ␹␠࡮੽㑑ߦᄺឝߐࠇߚ▚㗵ࠍ
㓸㍳ߒߚਛ᧛ᤨਁ✬ߩ‫ࠆ޽߇ ޢ▚␹␻⾽ޡ‬㧚ߎߩਛߦ㧘ਈ᧼౎ᐈችߩ▚㗵߇  㕙㓸㍳ߐࠇߡ޿ࠆ㧚㕙ߣ߽ᄬࠊࠇߡߒ߹ߞߚ㧚ኡ᡽ 㧔㧕ᐕߩ▚㗵ߪ㧘ᣢߦᓳరࠍⴕߞߚ  㧚ᧄⓂߢߪ㧘ᒁ߈⛯߈㧘ᢥൻర㧔㧕ᐕߦ㐳ጟߩ᧎ᧁⷙ┨㧘ਣጊᱜ๺ߩឝ㗵ߒߚ߽ߩࠍ‫ޢ▚␹␻⾽ޡ‬㧔Ꮞਯ྾㧕ࠃࠅឬ↹࠰ࡈ࠻ࠍ↪޿ߡᓳరߔࠆ㧚࿑ᒻߩ໧㗴߇  㗴ߢ޽ࠆ㧚╙৻໧ߦߟ޿ߡߪ㧘ห╬ߥ໧㗴ߩᒰᤨߩ⸃ᴺ߇ᱷߐࠇߡ߅ࠅ㧘ߎࠇࠍ⚫੺ߔࠆ㧚╙ੑ໧ߦߟ޿ߡߪ㧘๺▚ᦠ╬߆ࠄᒰᤨߩ⸃ᴺࠍផ᷹ߔࠆ㧚๺▚ߪ㧘᣿ᴦએᓟ㧘⑼ቇผߩ┙႐߆ࠄ⎇ⓥ߇ⴕࠊࠇ㧘ᶏᄖߦ߽⚫੺ߐࠇ෻㗀ࠍ๭ࠎߛ  㨪 㧚ㄭᐕߪ㧘ቇⴚ⊛ߥ⎇ⓥߛߌߢߥߊ㧘৻⥸ߩੱ‫ߩ߳ޘ‬๺▚ߩ⚫੺߿ᢙቇᢎ⢒ߩ┙႐߆ࠄߩ⎇ⓥ߽⋓ࠎߢ޽ࠆ  㨪 㧚㧞㧚▚㗵ᓳర࿑‫ߪޢ▚␹␻⾽ޡ‬Ⓜᧄߢ޽ࠅ㧘ߘߩ౮ᧄߦ▚㗵ߩ⺑᣿ᢥߣ࿑߇޽ࠆ㧚▚㗵ߩᄢ߈ߐ㧘߅ࠃ߮⺑᣿ᢥߣ࿑ߩ㈩⟎╬ߪਇ᣿ߢ޽ࠆ㧚ṽሼߪ౮ᧄߦࠃࠅ⇣ห߇޽ࠅ㧘ේೣߣߒߡᣥሼߩᱜሼࠍ↪޿ߚ㧚࿑ߩᓀ⦡ߦߟ޿ߡߪ㧘⃻ሽߔࠆઁߩ▚㗵ࠍෳ⠨ߦߒߚ㧚࠰ࡈ࠻ߪ㧘ឬ↹࠷࡯࡞㧔#FQDG+NNWUVTCVQTEU㧕ࠍ↪޿ߚ㧚૞ᚑߒߚᓳర࿑ࠍ␜ߔ㧔࿑㧙㧕㧚㧟㧚㗵ᢥߩ⸃⺑㧟㧚㧝㗵ᢥߩᦠਅߒᢥ 㗵ᢥߩᦠਅߒᢥࠍ৻᩺ߣߒߡᦠ߈㧘ߘߩ⃻ઍ⺆

―7―

和芳・外川⸶ࠍ␜ߔ㧚๺▚ߩ↪⺆ߦߟ޿ߡߪ⺑᣿ࠍߒߥ޿߇㧘⃻ઍ⺆⸶ߣᲧセߔࠇ߫㧘ߘߩᗧ๧߇ಽ߆ࠆ㧚╙৻໧੹㧘࿑ߩᅤߊ㧘ᄢዊ౞ߩ੤➱ߦ⚥౞ࠍኈࠆࠆ᦭ࠅ㧚ߘߩ౞ᢙࠍ⍮ࠄߕ㧚ᆎ౞ᓘߦᓥ߭㧘੖౞ߪ઒ߦ⚳౞ᓘߣߒߎࠇࠍ↹ߊ㧚ᄢ౞ᓘੑ⊖ੑච੖ኸ㧘⚳౞ᓘ྾ኸ㧚⿒߈Ⓧࠍߒߡ⥋ࠅߡᄙ߆ࠄߒ߻ࠍⷐߔ㧚ዊ౞ᓘ㧘ᐞ૗ߣ໧߰㧚╵߳ߡᦚߊ㧘ዊ౞ᓘ৻⊖ኸ㧚ⴚߦᦚߊ㧘⚳౞ᓘࠍએߡᄢ౞ᓘࠍ㒰ߒ㧘ᐔᣇߦߎࠇࠍ㐿߈໡ࠍᓧࠆ㧚৻୘એ਄ߪߎࠇࠍ᫈ߟ㧚⧯ߒᄸߥߊ߫㧘㔖ࠍ৻୘ߣ⟎ߊ㧚৻୘ࠍട߳㧘ᢙࠍᓧ㧘ߎࠇࠍ⥄ࠄߒߡએߡᄢ౞ᓘࠍ㒰ߒ㧘ዊ౞ᓘࠍᓧߡ໧޿ߦวߔ㧚╙ੑ໧੹㧘࿑ߩᅤߊ㧘ਃᢳߩౝߦᢳࠍ㓒ߡ↲㧘ਸ౞ᓘࠍኈࠆࠆ᦭ࠅ㧚ด੔߰㧘ਛ㋭ਃኸ㧘ో౞ᓘੑኸ㧘ਸ౞ᓘ৻ኸ㧚↲౞ᓘ㧘ᐞ૗ߣ໧߰㧚╵߳ߡᦚߊ㧘↲౞ᓘ৻ኸੑಽ㧚ⴚߦᦚߊ㧘ో౞ᓘࠍ⟎߈㧘ౝ㧘ਸ౞ᓘࠍᷫߓ㧘૛ࠅߦਛ㋭ࠍਸ਼ߓ㧘એߡਸߣో౞ߩᓘߩ⋧ਸ਼ࠍ㒰ߒ৻୘ࠍട߳㧘એߡో౞ᓘࠍ㒰ߒ㧘↲౞ᓘࠍᓧߡ໧޿ߦวߔ㧚㧟㧚㧞⃻ઍ⺆⸶╙৻໧࿑ߩࠃ߁ߦ㧘ᄢ౞ߣዊ౞ߩ㑆ߦ޿ߊߟ߆ߩ౞߇޽ࠆ㧚౞ߩ୘ᢙߪᧂ⍮ߢ޽ࠆ㧚ᆎ౞ᓘߦᓥߞߡ㧘઒ߦ ౞߇⚳౞ߢ޽ࠆߣߒߡ↹ߊ㧚ᄢ౞ߩ⋥ᓘߪ  ኸ㧘⚳౞ߩ⋥ᓘߪ  ኸߣߔࠆ㧚⿒޿ㇱಽߩ㕙Ⓧࠍᦨᄢߦߒߚ޿㧚ዊ౞ߩ⋥ᓘߪ޿ߊࠄ߆㧚 ╵㧚ዊ౞ߩ⋥ᓘߪ  ኸ㧚ⴚ㧚⚳౞ߩ⋥ᓘߢᄢ౞ߩ⋥ᓘࠍഀࠅ㧘ߘߩᐔᣇᩮࠍ᳞߼ࠆ㧚ᢛᢙㇱಽߪ᫈ߡࠆ㧚ዊᢙㇱಽ߇ߥߌࠇ߫㧘 ߣߥࠆ߇  ߣ⟎ߊ㧚ߘߒߡ㧘 ࠍട߃ߡ㧘ߎࠇࠍ ਸ਼ߔࠆ㧚ߎࠇߢᄢ౞ߩ⋥ᓘࠍഀࠅ㧘ዊ౞ߩ⋥ᓘࠍᓧࠆ㧚╙ੑ໧࿑ߩࠃ߁ߦ㧘ਃⷺᒻߩਛߦ㧘ᢳ✢ࠍ㓒ߡߡ↲౞㧘ਸ౞߇޽ࠆ㧚ਃⷺᒻߩ㜞ߐߪ  ኸ㧘ౝធ౞ߩ⋥ᓘߪ ኸ㧘ਸ౞ߩ⋥ᓘߪ  ኸߣߔࠆ㧚↲౞ߩ⋥ᓘߪ޿ߊࠄ߆㧚╵㧚↲౞ߩ⋥ᓘߪ  ኸ  ಽ㧚ⴚ㧚ౝធ౞ߩ⋥ᓘ߆ࠄਸ౞ߩ⋥ᓘࠍᒁ߈㧘ਃⷺᒻߩ㜞ߐࠍដߌࠆ㧚ߘࠇߢਸ౞ߣౝធ౞ߩ⋥ᓘߩⓍࠍഀࠅ㧘 ࠍട߃ࠆ㧚ߘࠇߢౝធ౞ߩ⋥ᓘࠍഀࠅ㧘↲౞ߩ⋥ᓘࠍᓧࠆ㧚

一仁࿑ᓳర࿑涌田㧟㧚㧟ᅏઃߦߟ޿ߡ▚㗵ᄺឝ⠪ߢ޽ࠆ᧎ᧁⷙ┨ߪ㐳ጟ๓᦯↸㧘ਣጊᱜ๺ߪ㐳ጟ⴫ੑਯ↸ߩੱߢ޽ࠅ㧘ߣ߽ߦ↸ੱߣᕁࠊࠇࠆ㧚ߘߩᏧߩᄥ↰ᱜ௾ߪ㧘㐳ጟ⮲ߩᱞ჻ߢ޽ࠅ㧘⫷ᩊ␹␠ߩ▚㗵ߦ߽▚㗵ᄺឝ⠪ߩᏧߣߒߡฬ೨߇⸥ߐࠇߡ޿ࠆ  㧚

―8―与板八幡宮の紛失算額（２）§r · r1  ¨1  1 ¸ r3
¨r2 ¸¹©

㧠㧚ⴚߩ⸃⺑ ‫␹⛯ޡ‬ო▚ᴺ‫ߦ ޢ‬㧘‫᧲ޟ‬ㇺ㤕↸ᐔᎹᄤḩች‫ߣޠ‬ߒߡ▚㗵߇  㕙㓸㍳ߐࠇߡ޿ࠆ㧚ኡ᡽ 㧔㧕ᐕߩ▚㗵ߩ໧㗴ߪ㧘ᧄⓂߩ▚㗵ߩ╙৻໧ߣ㧘ᄢ౞ߣዊ౞ߩ૏⟎߇ㅒߦߥߞߡ޿ࠆߛߌߢห╬ߢ޽ࠆ㧚‫⛯ޡ‬␹ო▚ᴺ⸃⟵‫⸃ߩߘߦ ޢ‬ᴺ߇޽ࠆߩߢ㧘ߎࠇࠍ⚫
੺ߔࠆ㧚ਈ᧼౎ᐈችߩኡ᡽ 㧔㧕ᐕߩ▚㗵ߪᣢߦ⺞ᩏ࡮ᓳరࠍⴕߞߚ߇㧘ߘߩ╙৻໧ߪᐔᎹᄤḩችߩ໧㗴ࠍᡷ㗴ߒߚࠃ߁ߥ໧㗴ߢ޽ࠆ㧚╙ੑ໧ߩᒰᤨߩ⸃ᴺߪਇ᣿ߢ޽ࠆߩߢផ᷹ߔࠆ㧚ߚߛߒ㧘⴫⸥ߪ㧘⃻ઍᢙቇߦᓥ߁㧚㧠㧚㧝 ╙৻໧ߦߟ޿ߡ ࠃࠅr1  r0§
r · r1  ¨ 2  1 ¸ r3
¨r0 ¸¹©

0   ৻⥸ߦ㧘 rn ߩᑼߪ㧘ᰴߩࠃ߁ߦߥࠆ㧚§r · r1  ¨ ( n  1)  1 ¸ rn
¨r0 ¸¹©

0   

ߎࠇࠃࠅ
r1

r1

rnr0

 ( n  1)   ৻ᣇ㧘  ࠃࠅr2

O2

T3 T2r1

 㧘  ࠃࠅ

O1

T1

1

r2

OO30   r1§·¨1  r1 ¸¨r0 ¸¹©

2  T00  r1  r0 ߥߩߢ㧘 0 ࿑ ࿑ ߦ߅޿ߡ㧘ᄢ౞ࠍ O1 㧘ዊ౞ࠍ O2 ߣߒ㧘ᄢ౞ߣዊ౞ߦធߔࠆⓨ౞ࠍ⠨߃ O ߣߔࠆ㧚ⓨ౞ O ߦ߅޿ ߡ 㧘 ⋥ ᓘ ߪ ᄢ ౞ O1 ߩ ⋥ ᓘ એ ਄ ߦ ߥ ࠆ 㧚 ౞O, O1 ,  , On ߣ⋥✢ߣߩធὐࠍ㧘ߘࠇߙࠇ T0 , T1 ,  , Tn
ߣߒ

r1r1

 1 㧚  ࠃࠅ㧘r1

ߪ㧘

r0r0

߆ࠄᢛᢙㇱಽࠍ㒰޿ߚዊᢙㇱಽߦ╬ߒ޿㧚

rnr1

ߩዊᢙㇱಽ߇ߥߌࠇ߫㧘

rnr11 ߢ޽ࠆ㧚 r0ࠃࠅ㧘ߎࠇߦ  ࠍട߃ߡ  ਸ਼ߒߚ߽ߩߢ r1 ࠍഀߞߡ㧘 r2 ߇ᓧࠄࠇࠆ㧚ߎߩߎߣ߇ⴚߢㅀߴࠄࠇߡ޿ࠆ㧚 ੹㧘 r1

 r0 㧦౞ O ߩ⋥ᓘ㧘 rn 㧦౞ On ߩ⋥ᓘߣ߅ߊ㧚౏ᑼࠃࠅ 

T1T0

r0r1 , T1T2

r1r2 , T2T0

r2 r0

  

࿑ࠃࠅ

r0 r1

r1r2  r2 r0   ߇ᚑࠅ┙ߟ㧚ߎࠇ߆ࠄ㧘 r2 ߩᑼࠍዉߊ 㧚§r · r1  ¨1  1 ¸ r2
¨r0 ¸¹©

0   ห᭽ߦ㧘 r3 ߩᑼࠍዉߊ㧚

225 㧘 rn4 ߥߩߢ㧘╵߃ߪ㧘 r2100 ߢ޽ࠆ㧚㧠㧚㧞 ╙ੑ໧ߦߟ޿ߡ࿑ ߦ߅޿ߡ㧘ౝធ౞㧘↲౞㧘ਸ౞ࠍ㧘ߘࠇߙࠇ O, O1 , O2 ߣߒ㧘 A ߆ࠄ BC ߦᒁ޿ߚု✢ࠍ AG ߣߔࠆ㧚౞ O ߣㄝ AB , BC , CA ߣߩធὐࠍ㧘ߘࠇߙࠇA0 , B0 , C 0 㧘౞ O1 ߣㄝ BC ߣߩធὐࠍ B1 㧘౞ O2 ߣㄝ AB, CA ߣߩធὐࠍ㧘ߘࠇߙࠇ A2 , C 2 ߣߔࠆ㧚ᢳ✢ BD, CE ߩ੤ὐࠍ F ߣߔࠆ㧚ᢳ✢ BD ߣ౞ O1 , O 2ߣߩធὐࠍ㧘ߘࠇߙࠇ D1 , D2 ߣߒ㧘ᢳ✢ CE ߣ౞
O1 , O 2 ߣ ߩ ធ ὐ ࠍ 㧘 ߘ ࠇ ߙ ࠇ E1 , E 2 ߣ ߔ ࠆ 㧚 ὐ―9―涌田和芳・外川O, O1, O2 , F ߆ ࠄ ⋥ ✢ AG ߦ 㧘 ߘ ࠇ ߙ ࠇ ု ✢OH 0 , O1 H 1 , O2 H 2 , FH ࠍᒁߊ㧚Aߒߚ߇ߞߡ

C2
DH 2 H : HH 1C0H2 O2
E2 D2FE1H
D1H0O
H1O1CGB0(B1)

BC, bCA, cs

AA2 , tFD2 AB, ha  b  c  2b
2r1 ( r  r2 )h  r1 r2 r
          r ( r1  r2 )AG ᰴߦ㧘 'ABC ߩ㕙Ⓧ S ࠍ⠨߃ࠆ㧚a bc  2৻ᣇBB1AA2 : AA0BC  BF  CF 2ߒߚ߇ߞߡ

a  ( c  s  t )  (b  s  t )2S᡿ߦ㧘 B0 ߣ B1 ߪ৻⥌ߔࠆ 㧚ᰴߦ㧘 HG ࠍ᳞߼ࠆ 㧚h

AO2 : AOr2 : r§ 2 sr· r 1¨¨
 2a ¸¸     r
© 2
¹ 2 2

߇ᚑࠅ┙ߟ 㧚৻ᣇa bc  2

AH 2 : AH 0sr  r2AA0  S

1ah   2 㧘  ࠃࠅa  r  2sr 2  r2 ( h  r )ᰴߦ㧘 'FBC ߩ㕙Ⓧ S ' ࠍ⠨߃ࠆ㧚
FD1 : FD 2ߎࠇࠃࠅ
AH 2r2 : r   ߎࠇࠃࠅBC  ( BD2  FD2 )  (CE2  FE2 )2
AH 0r r2 r1 ½ r1
­  ®h  ( h  )   ¾ 2 r 2 ¿ r1  r2¯rr r2 r1 ½ r1­
 1 ®h  ( h  )   ¾ 22rr
r¯¿ 1 2 2HGߣ߅ߊ㧚߹ߕ㧘 B0 ߣ B1 ߇৻⥌ߔࠆߎߣࠍ␜ߔ㧚

BB0r2 : r1   ᡿ߦ

࿑


aO 2 F : FO1

 㧘  ࠃࠅ

HH 1Brr rh  ( h  )  2  1   2 r 2H 2 H1৻ᣇA2EA0一仁r r( h  )  2   2 rߎࠇࠃࠅ― 10 ―r1 : r2   

与板八幡宮の紛失算額（２）tr1  r2FD1ᵈ ๺▚ߢߪࠃߊ⍮ࠄࠇߚ౏ᑼߢ㧘ጊᧄ⾐೨✬‫▚ޡ‬ᴺഥⴚ‫ߦ╬ ޢ‬タߞߡ޿ࠆ㧚 ߣห᭽ߦ
§ 2tr· r 1
S ' ¨¨ 1  2a ¸¸  1    r© 2¹ 2 2৻ᣇ㧘  ࠃࠅ
1 r1 ( r  r2 )h  r1 r2 r  a
2r ( r1  r2 )S' 㧘  ࠃࠅ
tr1r ( r1  r2 )  r2 ( r  r2 )h  r1r2 ra 㧘  ࠃࠅsr 2r2 ( h  r )tr1 r ( r1  r2 )  r2 ( r  r2 )h  r1r2 r

߹ߚBA2

BD 2 , BA0BB0BD1   ߥߩߢ  A0 A2

A0 A2
D1D2

D1 D 2   sr
sr2trt 1r2s(r  r2 )   r2t (r1  r2 )   r2 㧘  㧘  ࠃࠅt ( r1  r2 )  r  r2s

 ߦ  ࠍઍ౉ߒߡ( r  r1 ) rh
r1 r  ( r  r1 )hr2r
  
r1 r
1( r  r1 )hߎߩᑼ߇ⴚߢㅀߴࠄࠇߡ޿ࠆ㧚 r2 ߦߟ޿ߡߩ  ᰴᣇ⒟ᑼߣߒߡ⴫ߒߡ޿ࠆ㧚 㧘  ߪ㧘‫␹⛯ޡ‬ო▚ᴺ⸃⟵‫ߚߞ⵬ߊߥߪߦޢ‬㧚‫ޡ‬ᣣᧄߩᢙቇ㧙૗㗴⸃ߌ߹ߔ߆㧫㧔ਅ㧕‫ߩޢ‬໧㗴 ߦ㧘࿑ ߦ߅޿ߡ㧘 r2 ࠍ a, b, c, r1 ߢ⴫ߔ໧㗴߇޽ࠅ㧘 B0 ߣ B1 ߇৻⥌ߔࠆߎߣ߇␜ߐࠇߡ޿ࠆ㧚⋧ૃ⸥ภࠍ↪޿ߡ޿ࠆ߇㧘๺▚ߢߪ⋧ૃߣ޿߁᭎ᔨߪ⴫ߦߪ಴ߐߕ㧘⋥ធ㧘Ყ଀㑐ଥࠍㅀߴࠆ㧚ਃⷺᒻߩ㕙Ⓧࠍ  ㄝߣౝធ౞ߩඨᓘ߆ࠄ᳞߼ࠆࠃߊ⍮ࠄࠇߚ౏ᑼࠍ↪޿ࠆ㧚ෳ⠨ᢥ₂ ਛ᧛ᤨਁ㧦⾽␻␹▚㧘ᄤ଻ 㧔㧕ᐕ㧘᧲ർᄢቇ๺▚⾗ᢱ࠺࡯࠲ࡌ࡯ࠬ⬿㧚 ᶗ↰๺⧐㧘ᄖᎹ৻ੳ㧦ਈ᧼౎ᐈችߩ⚗ᄬ▚㗵㧘㐳ጟᎿᬺ㜞╬ኾ㐷ቇᩞ♿ⷐ╙  Ꮞ ᐕ㧚 ਃ਄⟵ᄦᢥൻผ਄ࠃࠅ⷗ߚࠆᣣᧄߩᢙቇ㧘ጤᵄᢥᐶ㧘 ᐕ㧔 ᐕೋ಴㧕㧚 ᷓᎹ⧷ବ㧘࠳ࡦ࡮ࡍ࠼࡯ᣣᧄߩᐞ૗㧙૗㗴⸃ߌ߹ߔ߆㧫㧘᫪ർ಴ 㧘 ᐕ㧚 ᷓᎹ⧷ବ㧘࠳ࡦ࡮࠰ࠦࡠࡈࠬࠠ࡯ᣣᧄߩᢙቇ㧙૗㗴⸃ߌ߹ߔ߆㧫㧔਄㧕 ਅ 㧘᫪ർ಴ 㧘 ᐕ㧚 ᷓᎹ⧷ବ㧘6QP[4QVJOCP5CETGF/CVJGOCVKEU㧙,CRCPGUG 6GORNG )GQOGVT[ 㧘 2TKPEGVQP 7PKX 㧚2TGUU㧘 ᐕ㧚㧔㇌⸶㧕⡛ߥࠆᢙቇ㧦▚㗵㧘᫪ർ಴ 㧘 ᐕ㧚 ዊୖ㊄ਯഥᣣᧄߩᢙቇ㧘ጤᵄᣂᦠ㧘 ᐕ㧚 ᐔጊ⺼㧦๺▚ߩᱧผ㧙ߘߩᧄ⾰ߣ⊒ዷ㧘ߜߊ߹ᢥᐶ㧘 ᐕ㧔 ᐕೋ಴㧕㧚 ᐔጊ⺼㧦๺▚ผ਄ߩੱ‫ޘ‬㧘ߜߊ߹ᢥᐶ㧘  ᐕ㧔 ᐕೋ಴㧕㧚 ᄢ⍫⌀৻๺▚౉㐷㧘ᣣᧄ⹏⺰␠㧘 ᐕ㧚 ᐔጊ⺼㧦๺▚ߩ⺀↢㧘ᕡᤊ␠ᕡᤊ㑑㧘 ᐕ㧚 ૒⮮ஜ৻ᣣᧄੱߣᢙᳯᚭᐼ᳃ߩᢙቇ㧘᧲ᵗᦠᐫ㧘 ᐕ㧚 ᷓᎹ⧷ବᣣᧄߩᢙቇߣ▚㗵㧘᫪ർ಴ 㧘 ᐕ㧚 ૒⮮ஜ৻ᣂ๺▚౉㐷㧘⎇ᚑ␠㧘 ᐕ㧚 ዊᎹ᧤㧘ᐔ㊁⪲৻⻠ᐳᢙቇߩ⠨߃ᣇ  ᢙቇߩᱧผ㧘ᦺୖᦠᐫ㧘 ᐕ㧚 દ⮮ᵗ⟤ᚻߠߊࠅㆬᛯᢙቇ߅߽ߒࠈ๺▚㧘᣿ᴦ࿑ᦠ㧘 ᐕ㧚 ዊኹ⵨㧦ߛ߆ࠄᭉߒ޿ᳯᚭߩ▚㗵㧘⎇ᚑ␠㧘ᐕ㧚 ᪉੗ㅴ㧦ᳯᚭߩᢙቇᢎ⑼ᦠ㧘㓸⧷␠㧘 ᐕ㧚 ዊኹ⵨㧦ᳯᚭߩᢙቇ๺▚㧘ᛛⴚ⹏⺰␠㧘 ᐕ㧚 ᶗ↰๺⧐㧘ᄖᎹ৻ੳ㧦⫷ᩊ␹␠ߩ▚㗵㧘㐳ጟᎿᬺ㜞╬ኾ㐷ቇᩞ♿ⷐ╙  Ꮞ╙  ภ㧘RR㧘 ᐕ㧚 ⮮↰ཅ⸒㧦⛯␹ო▚ᴺ㧘ᢥൻ 㧔㧕ᐕ㧘᧲ർᄢ― 11 ―

涌田和芳・外川ቇ๺▚⾗ᢱ࠺࡯࠲ࡌ࡯ࠬ⬿㧚 ⊕⍹㐳ᔘ㧘ᓮ♄቟ᧄ㧦⛯␹ო▚ᴺ⸃⟵㧘ᚑ┙ᐕਇ⹦㧘᧲ർᄢቇ๺▚⾗ᢱ࠺࡯࠲ࡌ࡯ࠬ⬿㧚㪉㪇㪈㪉㪅㩷㪐㪅㪉㪋㩷ฃઃ ― 12 ―一仁