![\"\"](\"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2016\/12\/sanheihou2.jpg?resize=278%2C182\")
<\/p>\n\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\uff08\u307e\u305f\u306f\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\uff09\u306f\u3001\u8ab0\u3082\u304c\u5c0f\u5b66\u751f\u3084\u4e2d\u5b66\u751f\u306e\u9803\u304b\u3089\u77e5\u3063\u3066\u3044\u308b\u99b4\u67d3\u307f\u6df1\u3044\u5b9a\u7406\u3060\u308d\u3046\u3002
\n\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u300c3\u5bfe4\u5bfe5\u300d\u306a\u3069\u4e09\u8fba\u306e\u6bd4\u304c\u30ad\u30ea\u306e\u826f\u3044\u6570\u5b57\u306b\u306a\u308b\u4e09\u89d2\u5f62\u3092\u624b\u8efd\u306b\u4f5c\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3059\u308b\u3002<\/p>\n
<\/p>\n
\u4e0a\u306e\u3088\u3046\u306a\u76f4\u89d2\u4e09\u89d2\u5f62\u304c\u3042\u308b\u3068\u304d\u306b<\/p>\n
\\(a^2+b^2=c^2\\)<\/p>\n
\u304c\u6210\u308a\u7acb\u3064\u3068\u3044\u3046\u5b9a\u7406\u3067\u3042\u308b\u3002
\n\u307e\u305f\u3001\u81ea\u7136\u6570\u3067\u3042\u308b(a, b, c)\u306e\u7d44\u3092\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3068\u3044\u3046\u3002<\/p>\n
![\"\"](\"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2016\/12\/sanheihou1.jpg?resize=218%2C232\")
<\/p>\n
\u5927\u304d\u3044\u6b63\u65b9\u5f62\u306e\u9762\u7a4d\u3092\u3001\u4e8c\u901a\u308a\u306e\u5f0f\u3067\u8868\u3059\u3068<\/p>\n
\\((a+b)^2=a\u00d7b\u00d71\/2\u00d74+c^2\\\\
\na^2+2ab+b^2=2ab+c^2\\\\
\na^2+b^2=c^2
\n\\)<\/p>\n
\u4ee5\u4e0a\u306b\u3088\u308a\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u304c\u793a\u3055\u308c\u305f\u3002<\/p>\n
\u3044\u308d\u3093\u306a\u4e09\u89d2\u5f62\u306e\u8fba\u306e\u9577\u3055\u306e\u6bd4\u7387\u3092\u898b\u3066\u307f\u308b<\/p>\n
\\(3^2+4^2=5^2 \\\\
\n1^2+\\sqrt{3}^2=2^2 \\\\
\n1^2+1^2=\\sqrt{2}^2 \\\\
\n5^2+12^2=13^2
\n\\)<\/p>\n
\u306a\u3069\u306e\u5f0f\u304c\u8868\u3059\u4e09\u89d2\u5f62\u304c\u6709\u540d\u3060\u308d\u3046\u3002<\/p>\n
\u307e\u305f\u3001\u81ea\u5206\u3067\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u898b\u3064\u3051\u308b\u306e\u306f\u96e3\u3057\u3044\u3068\u3044\u3046\u3053\u3068\u306b\u6c17\u304c\u4ed8\u304f\u304b\u3082\u3057\u308c\u306a\u3044\u3002
\n\u4f8b\u3048\u3070\u3001\u30e9\u30f3\u30c0\u30e0\u306b\\(a=7, b=11\\)\u306a\u3069\u3068\u9078\u3079\u3070\u3001\\(c=\\sqrt{170}\\)\u3068\u306a\u308b\u3002\u3053\u306e\u5b9f\u9a13\u3092\u7e70\u308a\u8fd4\u3057\u3066\u307f\u3066\u3082\u306a\u304b\u306a\u304b\u5168\u3066\u304c\u81ea\u7136\u6570\u306e\u5834\u5408\u306b\u8fbf\u308a\u7740\u304f\u3053\u3068\u306f\u306a\u3044\u3002<\/p>\n
\u4e09\u3064\u306e\u81ea\u7136\u6570\u304c\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u306b\u306a\u308b\u6761\u4ef6\u3092\u6c42\u3081\u308b\u3002
\n\u307e\u305f\u3001(3, 4, 5)\u3068\u3044\u3046\u7d44\u3068(6, 8,10)\u3068\u3044\u3046\u7d44\u306f\u6bd4\u7387\u304c\u540c\u3058\u306a\u306e\u3067\u3001\u65e2\u7d04\u306a\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306b\u3059\u308b\u3002\u3064\u307e\u308a\u3001\u3082\u3046\u3053\u308c\u4ee5\u4e0a\u540c\u3058\u6570\u3067\u5272\u308a\u5207\u308c\u306a\u3044\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u898b\u3064\u3051\u308b\u3002<\/p>\n
s\u3068t\u3092\u4e92\u3044\u306b\u7d20\u306a\u5947\u6570\u3068\u3057\u3066\uff08\\(s>t\\)\u3068\u3059\u308b\u3002\uff09
\n\\(a=st, b=\\frac{s^2-t^2}{2}, c=\\frac{s^2+t^2}{2}\\)
\n\u3068\u7f6e\u3051\u3070\u3001\u3053\u308c\u306f\\(a^2+b^2=c^2\\)\u3092\u6e80\u305f\u3059\u3002
\n\u5b9f\u969b\u3001
\n\\begin{align}
\na^2+b^2 &= s^2 t^2+\\frac{s^4-2s^2 t^2+t^4}{4} \\\\
\n&= \\frac{s^4+2s^2 t^2+t^4}{4} \\\\
\n&= c^2
\n\\end{align}
\n\u3068\u306a\u308b\u3002<\/p>\n
\u9006\u306b\u3001\u4e09\u3064\u306e\u81ea\u7136\u6570\u304c\u65e2\u7d04\u306a\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u306b\u306a\u308b\u6642\u306f\u3001\\(a=st, b=\\frac{s^2-t^2}{2}, c=\\frac{s^2+t^2}{2}\\)\u3068\u306a\u308b\u3088\u3046\u306as\u3068t\u304c\u3042\u308b\uff08\u3069\u3061\u3089\u3082\u4e92\u3044\u306b\u7d20\u306a\u5947\u6570\u3067\\(s>t\\)\uff09\u3053\u3068\u304c\u8a00\u3048\u308b\u3002\uff08\u65e2\u7d04\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u306e\u5b9a\u7406\u3001\u8a3c\u660e\u306f\u7565\uff09<\/p>\n
\\(t=1\\)\u3068\u7f6e\u304f\u3068\\(a=s, b=\\frac{s^2-1}{2}, c=\\frac{s^2+1}{2}\\)\u3068\u306a\u308b\u304c\u3001\u3053\u308c\u304c\u5168\u3066\u306es\u306b\u3064\u3044\u3066\u6210\u308a\u7acb\u3064\u304b\u3089\u3001s\u306b3, 5, 7, 9,…\u3092\u4ee3\u5165\u3057\u3066\u3044\u304f\u3068\u3001<\/p>\n
\\(3^2+4^2=5^2 \\\\
\n5^2+12^2=13^2 \\\\
\n7^2+24^2=25^2 \\\\
\n9^2+40^2=41^2
\n\\)<\/p>\n
\u3053\u306e\u3088\u3046\u306bb\u3068c\u306e\u5dee\u304c1\u3068\u306a\u308b\u4e09\u89d2\u5f62\u304c\u7121\u6570\u306b\u5f97\u3089\u308c\u308b\u3002<\/p>\n
\\(t=3\\)\u306e\u6642\u306f\\(a=s, b=\\frac{s^2-9}{2}, c=\\frac{s^2+9}{2}\\)\u3068\u306a\u308b\u306e\u3067\u3001s\u306b5, 7,11,13,…\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001<\/p>\n
\\(15^2+8^2=17^2 \\\\
\n21^2+20^2=29^2 \\\\
\n33^2+56^2=65^2 \\\\
\n39^2+80^2=89^2
\n\\)<\/p>\n
t\u306b5, 7, 9,…\u3092\u4ee3\u5165\u3057\u305f\u5834\u5408\u3082\u540c\u69d8\u306b\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u6c42\u3081\u3066\u3044\u304f\u3053\u3068\u304c\u51fa\u6765\u308b\u3002<\/p>\n
\u4ee5\u4e0a\u306e\u65b9\u6cd5\u3092\u7528\u3044\u308b\u3068\u3001\u5168\u3066\u306e\u65e2\u7d04\u306a\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u51fa\u6765\u308b\u306e\u3060\u304c\u3001\u7279\u306bt=1\u306e\u6642\u306e\\(a=s, b=\\frac{s^2-1}{2}, c=\\frac{s^2+1}{2}\\)\u3092\u7528\u3044\u308b\u3068\u3001\u624b\u8efd\u306b\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3092\u751f\u307f\u51fa\u3059\u3053\u3068\u304c\u51fa\u6765\u308b\u3002
\n\u597d\u304d\u306a\u5947\u6570\u3092\u4e00\u3064\u9078\u3073\u3001\u305d\u306e\u5947\u6570\u3092\u4e8c\u4e57\u3057\u30661\u5f15\u3044\u30662\u3067\u5272\u3063\u305f\u6570\u3068\u3001\u305d\u306e\u6570\u306b1\u3092\u8db3\u3057\u305f\u6570\u3092\u6c42\u3081\u308c\u3070\u826f\u3044\u306e\u3060\u3002\u4f8b\u3048\u307013\u3092\u9078\u3076\u3068\u3057\u305f\u3089\u3001\\(13^2-1=168, 168\u00f72=84, 84+1=85\\)\u3088\u308a(13, 84, 85)\u304c\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3068\u306a\u308b\u3002
\n\u3053\u3093\u306a\u306b\u7c21\u5358\u306b\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u304c\u4f5c\u308c\u308b\u306e\u306f\u611f\u52d5\u306b\u5024\u3059\u308b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"
\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\uff08\u307e\u305f\u306f\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\uff09\u306f\u3001\u8ab0\u3082\u304c\u5c0f\u5b66\u751f\u3084\u4e2d\u5b66\u751f\u306e\u9803\u304b\u3089\u77e5\u3063\u3066\u3044\u308b\u99b4\u67d3\u307f\u6df1\u3044\u5b9a\u7406\u3060\u308d\u3046\u3002 \u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u300c3\u5bfe4\u5bfe5\u300d\u306a\u3069\u4e09\u8fba\u306e\u6bd4\u304c\u30ad\u30ea\u306e\u826f\u3044\u6570\u5b57\u306b\u306a\u308b\u4e09\u89d2\u5f62\u3092\u624b\u8efd\u306b\u4f5c\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3059\u308b\u3002 \u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3068\u306f \u4e0a\u306e\u3088\u3046\u306a\u76f4\u89d2\u4e09\u89d2\u5f62\u304c\u3042\u308b\u3068\u304d\u306b \\(a^2+b^2=c^2\\) \u304c\u6210\u308a\u7acb\u3064\u3068\u3044\u3046\u5b9a\u7406\u3067\u3042\u308b\u3002 \u307e\u305f\u3001\u81ea\u7136\u6570\u3067\u3042\u308b(a, b, c)\u306e\u7d44\u3092\u30d4\u30bf\u30b4\u30e9\u30b9\u6570\u3068\u3044\u3046\u3002 \u8a3c\u660e […]<\/p>\n","protected":false},"author":1,"featured_media":187,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_newsletter_tier_id":0,"footnotes":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[7],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2016\/12\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2016-12-10-1.11.57.png?fit=750%2C442&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p89t1T-2Y","jetpack-related-posts":[{"id":1050,"url":"https:\/\/it1.jp\/?p=1050","url_meta":{"origin":184,"position":0},"title":"\u6709\u9650\u4f53\u306e\u57fa\u672c\u7684\u306a\u6027\u8cea\u307e\u3068\u3081\u3002\u6a19\u6570\u3084\u8981\u7d20\u6570\u306b\u3064\u3044\u3066","author":"koji 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https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2018\/10\/\u6709\u9650\u4f53.png?fit=1000%2C667&ssl=1&resize=700%2C400 2x"},"classes":[]},{"id":893,"url":"https:\/\/it1.jp\/?p=893","url_meta":{"origin":184,"position":1},"title":"\u30ac\u30a6\u30b9\u306e\u5e73\u65b9\u5270\u4f59\u306e\u76f8\u4e92\u6cd5\u5247\u306f\u3069\u3053\u304c\u7f8e\u3057\u3044\u306e\u304b","author":"koji aomatsu","date":"2018\u5e745\u67088\u65e5","format":false,"excerpt":"\u30ac\u30a6\u30b9\u306e\u9ec4\u91d1\u5b9a\u7406\u3068\u3057\u3066\u3082\u77e5\u3089\u308c\u308b\u5e73\u65b9\u5270\u4f59\u306e\u76f8\u4e92\u6cd5\u5247\u3002\u4f55\u5341\u500b\u3082\u306e\u8a3c\u660e\u304c\u306a\u3055\u308c\u3066\u3044\u308b\u305d\u3046\u3067\u3059\u304c\u3001\u3053\u306e\u5b9a\u7406\u2026","rel":"","context":"\u6570\u5b66","block_context":{"text":"\u6570\u5b66","link":"https:\/\/it1.jp\/?cat=7"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2018\/05\/\u30ac\u30a6\u30b9\u306e\u5e73\u65b9\u5270\u4f59\u306e\u76f8\u4e92\u6cd5\u5247\u305d\u306e\u7f8e\u3057\u3055\u306b\u8feb\u308b\uff01.png?fit=1000%2C667&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2018\/05\/\u30ac\u30a6\u30b9\u306e\u5e73\u65b9\u5270\u4f59\u306e\u76f8\u4e92\u6cd5\u5247\u305d\u306e\u7f8e\u3057\u3055\u306b\u8feb\u308b\uff01.png?fit=1000%2C667&ssl=1&resize=350%2C200 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