[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5695#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5695","headline":"\u53cc\u66f2\u7dda – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u53cc\u66f2\u7dda – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 Zweischaliges\u53cc\u66f2\u7dda a \u53cc\u66f2\u7dda \u6700\u3082\u5358\u7d14\u306a\u5834\u5408\u3001\u305d\u308c\u306f\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\uff08\u56de\u8ee2\u9818\u57df\uff09\u3092\u56de\u8ee2\u3055\u305b\u308b\u3053\u3068\u3067\u8ef8\u306e1\u3064\u3092\u4f5c\u6210\u3059\u308b\u9818\u57df\u3067\u3059\u3002 \u3042\u306a\u305f\u306e\u5468\u308a\u306b\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\u304d \u306e\u96a3\u306b \u8ef8\u304c\u767a\u751f\u3057\u307e\u3059 \u5358\u4e00\u306e\u3088\u3046\u306a\u53cc\u66f2\u7dda\u3002 \u30b3\u30d2\u30fc\u30ec\u30f3\u30c8\u30a8\u30ea\u30a2\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u3042\u306a\u305f\u306e\u5468\u308a\u306b\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\u304d \u4e3b\u8981 \u8ef8\u304c\u767a\u751f\u3057\u307e\u3059 Zweischaliges\u53cc\u66f2\u7dda\u3002 2\u3064\u306e\u5225\u3005\u306e\u9818\u57df\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002 after-content-x4 \u4e21\u65b9\u306e\u8868\u9762\u306f\u3001\u6955\u5186\u3068\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u306e\u65b9\u7a0b\u5f0f\u306b\u985e\u4f3c\u3057\u305f\u6b63\u65b9\u65b9\u7a0b\u5f0f\u3067\u8a18\u8ff0\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u306fQuadriken\uff08\u4f8b\uff1a\u30dc\u30fc\u30eb\u3001\u30b3\u30fc\u30f3\u3001\u30d1\u30e9\u30dc\u30ed\u30a4\u30c9\uff09\u306e\u7279\u5225\u306a\u30b1\u30fc\u30b9\u3067\u3042\u308a\u3001\u901a\u5e38\u3001\u30b3\u30fc\u30f3\u30ab\u30c3\u30c8\u306e\u30ec\u30d9\u30eb\u306b\u3088\u3063\u3066\u5207\u65ad\u3055\u308c\u307e\u3059\u3002 after-content-x4 \u5358\u4e00\u306e\u7cbe\u795e\u30682\u30b7\u30a7\u30eb\u306e\u53cc\u66f2\u7dda\u306e\u9593\u306b\u5927\u304d\u306a\u9055\u3044\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u7dda\u306e\u76f4\u7dda\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u30012\u3064\u306e\u30b7\u30a7\u30eb\u3067\u306f\u306a\u304f\u5236\u5fa1\u9818\u57df\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002 \u3053\u306e\u7279\u6027\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u7dda\u3092\u30b9\u30c8\u30ec\u30fc\u30c8\u304b\u3089\u7c21\u5358\u306b\u30e2\u30c7\u30eb\u5316\u3067\u304d\u308b\u305f\u3081\u3001\u5efa\u7bc9\u5bb6\u3084\u571f\u6728\u6280\u8853\u8005\u306b\u3068\u3063\u3066\u30a4\u30f3\u30c6\u30ea\u30b8\u30a7\u30f3\u30c8\u306a\u53cc\u66f2\u7dda\u3092\u8208\u5473\u6df1\u3044\u3082\u306e\u306b\u3057\u307e\u3059\u3002\u4e00\u90e8\u306e\u51b7\u5374\u5854\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u4f53\u306e\u5f62\u72b6\u3092\u5099\u3048\u3066\u3044\u307e\u3059\u3002\u6a5f\u68b0\u5de5\u5b66\u3067\u306f\u3001\u5358\u4e00\u306e\u4e92\u3044\u306e\u53cc\u66f2\u7dda\u3082\u53cc\u66f2\u7dda\u99c6\u52d5\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002","datePublished":"2021-10-13","dateModified":"2021-10-13","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/5\/52\/Merge-arrows.svg\/44px-Merge-arrows.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/5\/52\/Merge-arrows.svg\/44px-Merge-arrows.svg.png","height":"18","width":"44"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5695","wordCount":15448,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4  Zweischaliges\u53cc\u66f2\u7dda a \u53cc\u66f2\u7dda \u6700\u3082\u5358\u7d14\u306a\u5834\u5408\u3001\u305d\u308c\u306f\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\uff08\u56de\u8ee2\u9818\u57df\uff09\u3092\u56de\u8ee2\u3055\u305b\u308b\u3053\u3068\u3067\u8ef8\u306e1\u3064\u3092\u4f5c\u6210\u3059\u308b\u9818\u57df\u3067\u3059\u3002 \u3042\u306a\u305f\u306e\u5468\u308a\u306b\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\u304d \u306e\u96a3\u306b \u8ef8\u304c\u767a\u751f\u3057\u307e\u3059 \u5358\u4e00\u306e\u3088\u3046\u306a\u53cc\u66f2\u7dda\u3002 \u30b3\u30d2\u30fc\u30ec\u30f3\u30c8\u30a8\u30ea\u30a2\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u3042\u306a\u305f\u306e\u5468\u308a\u306b\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\u304d \u4e3b\u8981 \u8ef8\u304c\u767a\u751f\u3057\u307e\u3059 Zweischaliges\u53cc\u66f2\u7dda\u3002 2\u3064\u306e\u5225\u3005\u306e\u9818\u57df\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u4e21\u65b9\u306e\u8868\u9762\u306f\u3001\u6955\u5186\u3068\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u306e\u65b9\u7a0b\u5f0f\u306b\u985e\u4f3c\u3057\u305f\u6b63\u65b9\u65b9\u7a0b\u5f0f\u3067\u8a18\u8ff0\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u306fQuadriken\uff08\u4f8b\uff1a\u30dc\u30fc\u30eb\u3001\u30b3\u30fc\u30f3\u3001\u30d1\u30e9\u30dc\u30ed\u30a4\u30c9\uff09\u306e\u7279\u5225\u306a\u30b1\u30fc\u30b9\u3067\u3042\u308a\u3001\u901a\u5e38\u3001\u30b3\u30fc\u30f3\u30ab\u30c3\u30c8\u306e\u30ec\u30d9\u30eb\u306b\u3088\u3063\u3066\u5207\u65ad\u3055\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5358\u4e00\u306e\u7cbe\u795e\u30682\u30b7\u30a7\u30eb\u306e\u53cc\u66f2\u7dda\u306e\u9593\u306b\u5927\u304d\u306a\u9055\u3044\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u7dda\u306e\u76f4\u7dda\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u30012\u3064\u306e\u30b7\u30a7\u30eb\u3067\u306f\u306a\u304f\u5236\u5fa1\u9818\u57df\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002 \u3053\u306e\u7279\u6027\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u7dda\u3092\u30b9\u30c8\u30ec\u30fc\u30c8\u304b\u3089\u7c21\u5358\u306b\u30e2\u30c7\u30eb\u5316\u3067\u304d\u308b\u305f\u3081\u3001\u5efa\u7bc9\u5bb6\u3084\u571f\u6728\u6280\u8853\u8005\u306b\u3068\u3063\u3066\u30a4\u30f3\u30c6\u30ea\u30b8\u30a7\u30f3\u30c8\u306a\u53cc\u66f2\u7dda\u3092\u8208\u5473\u6df1\u3044\u3082\u306e\u306b\u3057\u307e\u3059\u3002\u4e00\u90e8\u306e\u51b7\u5374\u5854\u306f\u3001\u5358\u4e00\u306e\u53cc\u66f2\u4f53\u306e\u5f62\u72b6\u3092\u5099\u3048\u3066\u3044\u307e\u3059\u3002\u6a5f\u68b0\u5de5\u5b66\u3067\u306f\u3001\u5358\u4e00\u306e\u4e92\u3044\u306e\u53cc\u66f2\u7dda\u3082\u53cc\u66f2\u7dda\u99c6\u52d5\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 [\u521d\u3081] [2] \u5358\u4e00\u306e\u3088\u3046\u306a\u53cc\u66f2\u7dda\u3082\u5408\u6210\u30b8\u30aa\u30e1\u30c8\u30ea\u306b\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u30ec\u30d9\u30eb\u306f\u3001\u3072\u305f\u3080\u304d\u306a\u53cc\u66f2\u7dda\u306e\u30ec\u30d9\u30eb\u30ab\u30c3\u30c8\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u3067\u3059\u3002\u5358\u4e00\u306e\u30b7\u30a7\u30eb\u53cc\u66f2\u7dda\u306f2\u3064\u306e\u5207\u65ad\u76f4\u7dda\u306b\u5207\u65ad\u3055\u308c\u307e\u3059\u304c\uff08\u4ee5\u4e0b\u3092\u53c2\u7167\uff09\u3001\u63a5\u7dda\u30ec\u30d9\u30eb\u306e2\u3064\u306e\u30b7\u30a7\u30eb\u53cc\u66f2\u7dda\u306f1\u3064\u306e\u70b9\u3057\u304b\u306a\u304f\u3001\u3057\u305f\u304c\u3063\u3066\u7403\u4f53\u306b\u3088\u308a\u5e7e\u4f55\u5b66\u7684\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002 Table of Contents\u30b7\u30f3\u30b0\u30eb\u30a2\u30c3\u30d7\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u97f3\u91cf [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6c34\u9762 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u63a5\u7dda\u30ec\u30d9\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30ec\u30d9\u30eb\u30ab\u30c3\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a2\u30d5\u30a3\u30f3\u5199\u771f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5747\u4e00\u306a\u5ea7\u6a19 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Zweischaliges\u53cc\u66f2\u7dda [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 2\u30b7\u30a7\u30eb\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u97f3\u91cf [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6c34\u9762 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u63a5\u7dda\u30ec\u30d9\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30ec\u30d9\u30eb\u30ab\u30c3\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a2\u30d5\u30a3\u30f3\u5199\u771f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5747\u4e00\u306a\u5ea7\u6a19 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b7\u30f3\u30b0\u30eb\u30a2\u30c3\u30d7\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5358\u4e00\u306e\u3088\u3046\u306a\u53cc\u66f2\u7dda\uff1a\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u306e\u56de\u8ee2\u306b\u3088\u308b\u751f\u6210\uff08\u4e0a\uff09\u307e\u305f\u306f\u307e\u3063\u3059\u3050\uff08\u4e0b\uff1a\u8d64\u307e\u305f\u306f\u9752\uff09  \u5358\u4e00\u306e\u3088\u3046\u306a\u53cc\u66f2\u7dda\uff1a\u30ec\u30d9\u30eb\u30ab\u30c3\u30c8 \u3042\u306a\u305f\u306f\u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3092\u96e2\u308c\u307e\u3059 \u30d0\u30c4 2  –  \u3068 2 = \u521d\u3081 {displaystyle x^{2} -z^{2} = 1} X-Z\u30ec\u30d9\u30eb\u3067Z\u8ef8\u306e\u5468\u308a\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\uff08\u56f3\u3092\u53c2\u7167\uff09\u3001\u65b9\u7a0b\u5f0f\u3068\u3068\u3082\u306b\u5358\u4e00\u58c1\u306e\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda\u304c\u5f97\u3089\u308c\u307e\u3059 h 1\uff1a  \u30d0\u30c4 2+ \u3068 2 –  \u3068 2= \u521d\u3081 {displaystyle h_ {1}\u30b3\u30ed\u30f3x^{2}+y^{2} -z^{2} = 1} \u3002 \u56de\u8ee2\u3067\u3001 \u30d0\u30c4 2 {displaystyle x^{2}} \u7d42\u3048\u305f \u30d0\u30c4 2 + \u3068 2 {displaystyle x^{2}+y^{2}} \u4ea4\u63db\u3002 \u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u56de\u8ee2\u306b\u8d77\u56e0\u3059\u308b\u5358\u4e00\u58c1\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda\u306f f \uff08 \u3068 \uff09\uff09 = z2+ \u521d\u3081 {displaystyle f\uff08z\uff09= {sqrt {z^{2} +1}}}} \u306b \u3068 {displaystyle with} -\u8ef8\u3002\u4ee5\u4e0b\u306f\u5c0e\u51fa\u306b\u9069\u7528\u3055\u308c\u307e\u3059 f ‘ \uff08 \u3068 \uff09\uff09 = \u3068 z2+1{displaystyle f ‘\uff08z\uff09= {frac {z} {sqrt {with^{2} +1}}}}} \u3002\u9ad8\u3055\u306e\u5358\u4e00\u58c1\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda\u306e\u4f53\u7a4d\u3068\u8868\u9762 h {displaystyle h} \u7a4d\u5206\u3092\u4f7f\u7528\u3057\u305fGuldin\u30eb\u30fc\u30eb\u306b\u306a\u308a\u307e\u3059\u3002  \u305f\u3068\u3048\u8a71\u3068\u9ad8\u3055\u306e\u5186\u3092\u5099\u3048\u305f\u56de\u8ee2\u653e\u7269\u7dda \u97f3\u91cf [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u306e = pi \u222b 0h\uff08 f \uff08 \u3068 \uff09\uff09 \uff09\uff09 2 d \u3068 = pi \u222b 0h\u3068 2+ \u521d\u3081  d \u3068 = pi \uff08 h33+h\uff09\uff09 = \u03c03\uff08 h3+3h\uff09\uff09 {displaystyle v = pi int _ {0}^{h}\uff08f\uff08z\uff09\uff09^{2} mathrm {d} z = pi int _ {0}^{h} z^{2} +1 mathrm {d} z = pi left\uff08{frac {h^{3} {3} {3}} {3} {3} {3} {3} {3} {3} {3 {3}}\u5de6\uff08h^{3}+3hright\uff09} \u6c34\u9762 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] A=2\u03c0\u222b0hf(z)1+(f\u2032(z))2\u00a0dz=2\u03c0\u222b0hz2+11+(zz2+1)2\u00a0dz=2\u03c0\u222b0h2z2+1\u00a0dz=2\u03c0(12z2z2+1+122ln\u2061(2z+2z2+1)|z=0z=h)=\u03c0(h2h2+1+12ln\u2061(2h+2h2+1)){displayStyle {begin {aligned} a\uff06= 2pi int _ {0}^{h} f\uff08z\uff09{1+left\uff08f ‘\uff08z\uff09\u53f3\uff09^{2}}} mathrm {d} z \\\uff06= 2pi int _ {{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{}\uff09\uff09\uff09 qrt {1+left\uff08{frac {z} {sqrt {z^{2} +1}}\u53f3\uff09^{2}}} mathrm {d} z \\\uff06= 2pi int _ {0}^{h} {sqrt {2z^{2} {d} {d} {d} {d} {d} {frac {1} {2}} z {sqrt {2z^{2} +1}+{frac {1} {2 {sqrt {2}}}} ln left\uff08{sqrt {2}}} {{2z^{2z^{2z^{2 Z^{2 Z^{2 Z^{2 Z^{{2Z^{2 Z^{2Z^{2Z^{2Z^{2Z^{2Z^{2Z^{2Z^{2Z^\uff09 = 0}^{z = h}\u53f3\uff09\\\uff06= pi left\uff08h {sqrt {2h^{2} +1}}+{frac {1} {sqrt {2}}} ln left\uff08{sqrt {2}}} h+{2h^{2h^{2h^{2h^{2h^{2h^{2h^{2h^{2h^{2h^{2h^{2h^sight\uff09 }} \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u660e\u3089\u304b\u306b\u30011\u3064\u306e\u30ec\u30d9\u30eb\u3067\u30ab\u30c3\u30c8\u3055\u308c\u305f\u3059\u3079\u3066\u306e\u9ad8\u3055\u306f\u3067\u3059 \u3068 = \u3068 0 {\u5c55\u793az = z_ {0}} \u534a\u5f84\u306e\u3042\u308b\u5186 \u521d\u3081 + z02{displaystyle {sqrt {1+z_ {0}^{2}}}}} \u3002\u30ec\u30d9\u30eb\u306e\u30ab\u30c3\u30c8 \u30d0\u30c4 = \u521d\u3081 {displaystyle x = 1} 2\u3064\u306e\u30ab\u30c3\u30c8\u3092\u914d\u4fe1\u3057\u307e\u3059 \uff08 \u521d\u3081 \u3001 t \u3001 \u00b1 t \uff09\uff09 \u22a4 \u3001 t \u2208 r {displaystyle\uff081\u3001t\u3001pm t\uff09^{top}\u3001tin mathbb {r}} \u3002\u3053\u308c\u3089\u306e\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u56de\u8ee2\u306b\u3088\u308a\u3001\u53cc\u66f2\u7dda\u4e0a\u306e\u3059\u3079\u3066\u306e\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u8868\u73fe\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 g \u03b1\u00b1\uff1a x\u2192\uff08 t \uff09\uff09 = (cos\u2061\u03b1sin\u2061\u03b10)+ t de (\u2212sin\u2061\u03b1cos\u2061\u03b1\u00b11) \u3001 t \u2208 r \u3001  0 \u2264 a \u2264 2 pi {displayStyle g_ {alpha}^{pm}\uff1a{vec {x}}\uff08t\uff09= {begin {pmatrix} cos alpha \\ sin alpha \\ 0end {pmatrix}}+tcdot {begin {pmatrix} -sin alpha \\ cos \\ cos alpha \\ pp {r}\u30010leq alpha leq 2pi} \u30a4\u30f3\u30c6\u30ea\u30b8\u30a7\u30f3\u30c8\u306a\u53cc\u66f2\u7dda h \u521d\u3081 {displaystyle h_ {1}} \u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u56de\u8ee2\u306b\u3088\u3063\u3066\u56de\u8ee2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059 g 0 + {displaystyle g_ {0}^{+}} \u307e\u305f g 0  –  {displaystyle g_ {0}^{ – }} \uff08\u56de\u8ee2\u8ef8\u3078\u306e\u30a6\u30a3\u30f3\u30c9\u30b7\u30e3\u30d5\u30c8\uff09\uff08\u56f3\u3092\u53c2\u7167\uff09\u3002\u3053\u306e\u58f0\u660e\u306f\u6587\u732e\u306b\u3042\u308a\u307e\u3059 \u30ec\u30f3\u306e\u30bb\u30c3\u30c8 \u5c02\u7528\u3002 [3] \u63a5\u7dda\u30ec\u30d9\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6697\u9ed9\u7684\u306b\u63a5\u7dda\u30ec\u30d9\u30eb\u306e\u65b9\u7a0b\u5f0f f \uff08 \u30d0\u30c4 \u3001 \u3068 \u3001 \u3068 \uff09\uff09 = 0 {displaystyle f\uff08x\u3001y\u3001z\uff09= 0} 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u4e0e\u3048\u3089\u308c\u305f\u9818\u57df x\u21920 = \uff08 \u30d0\u30c4 0 \u3001 \u3068 0 \u3001 \u3068 0 \uff09\uff09 {displaystyle {vec {x}} _ {0} =\uff08x_ {0}\u3001y_ {0}\u3001z_ {0}\uff09} \u306f f \u30d0\u30c4 \uff08 x\u21920 \uff09\uff09 \uff08 \u30d0\u30c4  –  \u30d0\u30c4 0 \uff09\uff09 + f \u3068 \uff08 x\u21920 \uff09\uff09 \uff08 \u3068  –  \u3068 0 \uff09\uff09 + f \u3068 \uff08 x\u21920 \uff09\uff09 \uff08 \u3068  –  \u3068 0 \uff09\uff09 = 0 {displaystyle f_ {x}\uff08{vec {x}}} _ {0}\uff09\uff08x-x_ {0}\uff09+f_ {y}\uff08{vec {x}} _ {0}\uff09\uff08y-y_ {0}\uff09+f_ {z}} \u3002 H1\u306e\u7d50\u679c \u30d0\u30c4 0\u30d0\u30c4 + \u3068 0\u3068  –  \u3068 0\u3068  –  \u521d\u3081 = 0  \u3002 {displaystyle x_ {0} x+y_ {0} y-z_ {0} z-1 = 0.} \u30ec\u30d9\u30eb\u30ab\u30c3\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53cc\u66f2\u7dda\u76f4\u7dda\u3067\u3042\u308b\u30ec\u30d9\u30eb \u305d\u3046\u3067\u3059 {displaystyle e} \u63a5\u7dda\u30ec\u30d9\u30eb\u306e\u3044\u305a\u308c\u304b\u3092\u542b\u307f\u3001\u79d2\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059 \u305d\u3046\u3067\u3059 {displaystyle e} \u53cc\u66f2\u7dda\u3092\u307e\u3063\u3059\u3050\u306b\u5207\u65ad\u3059\u308b\u304b\u3001\u305d\u308c\u3082\u542b\u3080 \u305d\u3046\u3067\u3059 {displaystyle e} \u5e73\u884c\u53cc\u66f2\u7dda\u76f4\u7dda\u3067\u3042\u308b\u305f\u3081\u3001\u9577\u8ddd\u96e2\u30dd\u30a4\u30f3\u30c8\u306e\u63a5\u7dda\u30ec\u30d9\u30eb\u3067\u3059\u3002 \u30a2\u30d5\u30a3\u30f3\u5199\u771f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e6\u30cb\u30c3\u30c8\u56de\u8def\u306e\u30a2\u30d5\u30a3\u30f3\u30a4\u30e1\u30fc\u30b8\u3068\u3057\u3066\u306e\u3042\u3089\u3086\u308b\u6955\u5186\u306b\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059\u3001 \u3069\u308c\u3067\u3082 \u5358\u4e00\u306e\u53cc\u66f2\u7dda\u30e6\u30cb\u30c3\u30c8\u53cc\u66f2\u7dda\u306e\u30a2\u30d5\u30a3\u30f3\u30a4\u30e1\u30fc\u30b8 h \u521d\u3081 {displaystyle h_ {1}} \u3002\u6700\u3082\u5358\u7d14\u306a\u30a2\u30d5\u30a3\u30f3\u753b\u50cf\u306f\u3001\u5ea7\u6a19\u8ef8\u3092\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\u3067\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002 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