{"id":7,"date":"2012-03-06T00:03:07","date_gmt":"2012-03-05T15:03:07","guid":{"rendered":"http:\/\/www.rainyman.net\/nest\/?p=7"},"modified":"2015-03-06T14:48:47","modified_gmt":"2015-03-06T05:48:47","slug":"%e6%95%b0%e5%bc%8f%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e3%82%92%e3%81%8b%e3%81%ad%e3%81%a6","status":"publish","type":"post","link":"https:\/\/blog.rainyman.jp\/nest\/?p=7","title":{"rendered":"\u6570\u5f0f\u306e\u30c6\u30b9\u30c8\u3092\u304b\u306d\u3066"},"content":{"rendered":"<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u5e73\u9762\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u7403\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a<\/a><\/li><\/ul><\/div>\n<p>\u3053\u3053\u6570\u30f6\u6708\u30ec\u30a4\u30c8\u30ec\u30fc\u30b7\u30f3\u30b0\u95a2\u4fc2\u306e\u3053\u3068\u3092\u5f04\u3063\u3066\u3044\u308b\u306e\u3067\u30ec\u30a4(\u534a\u76f4\u7dda)\u3068\u66f2\u9762\u3068\u306e\u4ea4\u70b9\u8a08\u7b97\u306b\u3064\u3044\u3066\u306e\u30e1\u30e2\uff0e<\/p>\n\n<p><a href=\"http:\/\/wordpress.org\/extend\/plugins\/latex\/\">$$\\LaTeX$$ for WordPress<\/a>\u306e\u30c6\u30b9\u30c8\u3082\u517c\u306d\u3066\uff0e<\/p>\n\n<h2><span id=\"i\">\u5e73\u9762\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a<\/span><\/h2>\n\n<p>\u70b9$${\\bf p}$$\u3092\u901a\u308a\u65b9\u5411\u30d9\u30af\u30c8\u30eb$${\\bf d}$$\u306e\u534a\u76f4\u7dda\u3068\uff0c\u70b9$${\\bf q}$$\u3092\u901a\u308a\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb$${\\bf n}$$\u306e\u5e73\u9762\u3068\u306e\u4ea4\u5dee\u5224\u5b9a\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<\/p>\n\n<p>\u3053\u308c\u3089\u306e\u4ea4\u70b9\u3092$${\\bf x}$$\u3068\u3059\u308b\u3068\uff0c<\/p>\n\n<p>\u534a\u76f4\u7dda\uff1a$${\\bf x}={\\bf p}+t{\\bf d}$$<\/p>\n\n<p>\u5e73\u9762\uff1a$$\\left({\\bf x}-{\\bf q}\\right)\\cdot {\\bf n}=0$$<\/p>\n\n<p>$$\\left({\\bf p}+t{\\bf d}-{\\bf q}\\right)\\cdot{\\bf n}=0$$<\/p>\n\n<p>$$({\\bf p}\\cdot{\\bf n})+t({\\bf d}\\cdot{\\bf n})-({\\bf q}\\cdot{\\bf n})=0$$<\/p>\n\n<p>$$t=\\frac{({\\bf q}\\cdot{\\bf n})-({\\bf p}\\cdot{\\bf n})}{({\\bf d}\\cdot{\\bf n})}$$<\/p>\n\n<p>$$({\\bf d}\\cdot{\\bf n})=0$$\u3064\u307e\u308a\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u3068\u534a\u76f4\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u76f4\u4ea4\u3057\u3066\u3044\u308b\u3068\u304d\u4ea4\u5dee\u306a\u3057\uff0e<\/p>\n\n<h2><span id=\"i-2\">\u7403\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a<\/span><\/h2>\n\n<p>\u70b9$${\\bf p}$$\u3092\u901a\u308a\u65b9\u5411\u30d9\u30af\u30c8\u30eb$${\\bf d}$$\u306e\u534a\u76f4\u7dda\u3068\uff0c\u70b9$${\\bf c}$$\u3092\u4e2d\u5fc3\u3068\u3057\u3066\u534a\u5f84$$r$$\u306e\u5186\u3068\u306e\u4ea4\u5dee\u5224\u5b9a\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<\/p>\n\n<p>\u3053\u308c\u3089\u306e\u4ea4\u70b9\u3092$${\\bf x}$$\u3068\u3059\u308b\u3068\uff0c<\/p>\n\n<p>\u534a\u76f4\u7dda\uff1a$${\\bf x}={\\bf p}+t{\\bf d}$$<\/p>\n\n<p>\u5186: $$\\left|{\\bf x}-{\\bf c}\\right|^{{2}} =r^{2}$$<\/p>\n\n<p>$$\\left|{\\bf p}+t{\\bf d}-{\\bf c}\\right|^{{2}} =r^{2}$$<\/p>\n\n<p>$$\\left({\\bf p}+t{\\bf d}-{\\bf c}\\right)\\cdot\\left({\\bf p}+t{\\bf d}-{\\bf c}\\right)-r^{2}=0$$<\/p>\n\n<p>$$({\\bf p}\\cdot{\\bf p})+2\\left({\\bf p}\\cdot(t{\\bf d}-{\\bf c})\\right)+\\left((t{\\bf d}-{\\bf c})\\cdot(t{\\bf d}-{\\bf c})\\right)-r^{2}=0$$<\/p>\n\n<p>$$({\\bf p}\\cdot{\\bf p})+2t({\\bf p}\\cdot{\\bf d})-2({\\bf p}\\cdot{\\bf c})+t^{2}({\\bf d}\\cdot{\\bf d})-2t({\\bf d}\\cdot{\\bf c})+({\\bf c}\\cdot{\\bf c})-r^{2}=0$$<\/p>\n\n<p>$$({\\bf d}\\cdot{\\bf d})t^{2}+2\\left(({\\bf p}\\cdot{\\bf d})-({\\bf d}\\cdot{\\bf c})\\right)t+({\\bf p}\\cdot{\\bf p})-2({\\bf p}\\cdot{\\bf c})+({\\bf c}\\cdot{\\bf c})-r^{2}=0$$<\/p>\n\n<p>$$({\\bf d}\\cdot{\\bf d})t^{2}+2\\left({\\bf d}\\cdot({\\bf p}-{\\bf c})\\right)t+\\left(({\\bf p}-{\\bf c})\\cdot({\\bf p}-{\\bf c})\\right)-r^{2}=0$$<\/p>\n\n<p>$$|{\\bf d}|^{2}t^{2}+2\\left({\\bf d}\\cdot({\\bf p}-{\\bf c})\\right)t+|{\\bf p}-{\\bf c}|^{2}-r^{2}=0$$<\/p>\n\n<p>\u3053\u306e\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\uff0e<\/p>\n\n<hr \/>\n\n<p>\u4e45\u3057\u3076\u308a\u306blatex\u3044\u3058\u3063\u305f\u304b\u3089\u75b2\u308c\u305f\uff0e\u3068\u3044\u3046\u304b\u3053\u306e\u30d7\u30e9\u30b0\u30a4\u30f3\u30d0\u30b0\u3063\u3066\u3093\u306e\u304b\u306a\uff0e\u4e0a\u4ed8\u304d\u6587\u5b57\u304b\u5909\u306a\u3068\u3053\u308d\u307e\u3067\u7d9a\u3044\u3061\u3083\u3046\u3093\u3060\u304c\uff0e<\/p>\n\n<p>\u6b21\u306f\uff0c\u30c8\u30fc\u30e9\u30b9\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a\u8fba\u308a\u3092\u66f8\u3044\u3066\u307f\u308b\u304b\u306a\uff0e\u56db\u6b21\u66f2\u9762\u306a\u3093\u3067\u4ee3\u6570\u7684\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3051\u3069\uff0c\u6050\u308d\u3057\u304f\u3084\u3084\u3053\u3057\u304f\u306a\u308a\u307e\u3059\uff0e\u666e\u901a\u306f\u6570\u5024\u7684\u306b\u89e3\u3044\u305f\u65b9\u304c\u3044\u3044\u306e\u304b\u3082\u306d\uff0e<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u5e73\u9762\u3068\u30ec\u30a4\u306e\u4ea4\u5dee\u5224\u5b9a2 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