[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/7531#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/7531","headline":"Raumwinkel  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"Raumwinkel  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u306e {displaystyle in} \u534a\u5f84r\u306e\u30dc\u30fc\u30eb\u3067 after-content-x4 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u30ec\u30d9\u30eb\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f2\u6b21\u5143\u89d2\u306e3\u6b21\u5143\u306e\u5bfe\u5fdc\u7269\u3067\u3059\u3002 3\u6b21\u5143\u7a7a\u9593\u5168\u4f53\u306e\u5272\u5408\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002 B.\u306f\u3001\u7279\u5b9a\u306e\u30dc\u30a6\u30ea\u30f3\u30b0\u307e\u305f\u306f\u30d4\u30e9\u30df\u30c3\u30c9\u30b3\u30fc\u30c8\u306e\u4e2d\u306b\u3042\u308a\u307e\u3059\u3002 \u7a7a\u9593\u306e\u89d2\u5ea6 after-content-x4 \u304a\u304a {displaystyle omega} \u30a8\u30ea\u30a2\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059 a {displaystyle a}","datePublished":"2021-12-22","dateModified":"2021-12-22","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\/0\/03\/Sterad.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/0\/03\/Sterad.png","height":"150","width":"150"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/7531","wordCount":18662,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u306e {displaystyle in} \u534a\u5f84r\u306e\u30dc\u30fc\u30eb\u3067        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u30ec\u30d9\u30eb\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f2\u6b21\u5143\u89d2\u306e3\u6b21\u5143\u306e\u5bfe\u5fdc\u7269\u3067\u3059\u3002 3\u6b21\u5143\u7a7a\u9593\u5168\u4f53\u306e\u5272\u5408\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002 B.\u306f\u3001\u7279\u5b9a\u306e\u30dc\u30a6\u30ea\u30f3\u30b0\u307e\u305f\u306f\u30d4\u30e9\u30df\u30c3\u30c9\u30b3\u30fc\u30c8\u306e\u4e2d\u306b\u3042\u308a\u307e\u3059\u3002 \u7a7a\u9593\u306e\u89d2\u5ea6        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u304a\u304a {displaystyle omega} \u30a8\u30ea\u30a2\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059 a {displaystyle a} \u90e8\u5206\u9818\u57df f {displaystyle f} \u534a\u5f84\u306e\u6b63\u65b9\u5f62\u3067\u5206\u5272\u3055\u308c\u305f\u7403\u9762\u8868\u9762 r {displaystyle r} \u30dc\u30fc\u30eb\uff1a        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u304a\u304a = Ar2{displaystyle omega = {frac {a} {r^{2}}}}} \u3002 \u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\u3092\u691c\u8a0e\u3059\u308b\u3068\u304d\uff08 r = \u521d\u3081 {displaystyle r = 1} \uff09 \u306f a {displaystyle a} \u3057\u305f\u304c\u3063\u3066\u3001\u540c\u3058\u91cf\u306e\u7a7a\u9593\u89d2\u5ea6\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d5\u30eb\u30eb\u30fc\u30e0\u306e\u89d2\u5ea6\u306f\u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\u306e\u8868\u9762\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 4 pi {displaystyle 4pi} \u3002 \u30b5\u30d6\u30a8\u30ea\u30a2\u306f\u4efb\u610f\u306e\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306f\u3001\u8868\u9762\u7a4d\u5206\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u307e\u3059 \u304a\u304a = \u222c Fn\u2192^\u22c5dA\u2192r2{displaystyle omega = int _ {f} {frac {{hat {nvec {n}}} cdot mathrm {d} {ark {a}} {r^{2}}}}}} {r^{2}}}}}}} \u3002 \u3042\u308b n\u2192^{displaystyle {hat {vec {n}}}} \u5ea7\u6a19\u30dc\u30fc\u30eb\u30c8\u306e\u30e6\u30cb\u30c3\u30c8\u30d9\u30af\u30c8\u30eb\u3001 d A\u2192{displaystyle mathrm {d} {vec {a}}} \u5fae\u5206\u9818\u57df\u8981\u7d20\u3068 r {displaystyle r} \u5ea7\u6a19\u8d77\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u3002 \u5199\u771f\u3068\u306f\u7570\u306a\u308a\u3001\u30a8\u30ea\u30a2\u306e\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u306f\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u305b\u3093\u3002\u540c\u3058\u9818\u57df\u306e\u30dc\u30fc\u30eb\u8868\u9762\u306e\u5404\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u306f\u3001\u540c\u3058\u30b5\u30a4\u30ba\u306e\u30b9\u30da\u30fc\u30b9\u89d2\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002\u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u304c\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u306e\u5404\u30dd\u30a4\u30f3\u30c8\u3092\u901a\u308b\u51fa\u767a\u70b9\u3068\u3057\u3066\u30d3\u30fc\u30e0\u3092\u914d\u7f6e\u3059\u308b\u3068\u3001\u30b9\u30da\u30fc\u30b9\u89d2\u3092\u793a\u3059\u5e7e\u4f55\u5b66\u7684\u306a\u4eba\u7269\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30ec\u30d9\u30eb\u306e\u89d2\u5ea6\u306e\u30c7\u30a3\u30b9\u30d7\u30ec\u30a4\u306b\u5339\u6575\u3057\u307e\u3059\u30022\u3064\u306e\u30bb\u30df\u30b9\u30c8\u30ec\u30fc\u30c8\u304c\u5171\u901a\u306e\u51fa\u767a\u70b9\u3067\u3059\u3002 \u7a7a\u9593\u306e\u89d2\u5ea6\u306f\u5bf8\u6cd5\u6570\u306e\u30b5\u30a4\u30ba\u3067\u3059\u304c\u3001\u4e3b\u306bSteradiant\uff08SR\uff09\u30e6\u30cb\u30c3\u30c8\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5e73\u3089\u306a\u89d2\u5ea6\u306e\u653e\u5c04\uff08\u30db\u30a4\u30fc\u30eb\uff09\u30e6\u30cb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u305f\u30a2\u30fc\u30c1\u30b5\u30a4\u30ba\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 1 SR\u306e\u5ba4\u5185\u89d2\u5ea6\u306f\u3001\u534a\u5f841 m\u306e\u30dc\u30fc\u30eb\u4e0a\u306e1 m\u306e\u9762\u7a4d\u3092\u56f2\u307f\u307e\u3059 2 \u3002\u7403\u9762\u5168\u4f53\u306e\u9762\u304b\u3089\u9818\u57df 4 de pi de r 2 {displaystyle 4cdot pi cdot r^{2}} \u95a2\u9023\u3059\u308b\u30d5\u30eb\u30b9\u30da\u30fc\u30b9\u89d2\u304c\u3042\u308a\u307e\u3059 \u304a\u304a = 4 de pi  s r \u2248 12,566 37  s r {displaysyllllle omga = 4cdot pi mathrm {sr} artfx 12 {\u3001} 56637 mathrm {sr} \u3002 \u6642\u6298\u3001\u30b9\u30da\u30fc\u30b9\u89d2\u3082\u6b63\u65b9\u5f62\uff08\u00b0\uff09\u00b2\u3067\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 1\uff08\u00b0\uff09\u00b2\u306f\u540c\u3058\u3067\u3059 \uff08 2\u03c0360\uff09\uff09 2 \u2248 0.000 30462  s r {displaystyle left\uff08{tfrac {2pi} {360}} right\uff09^{2} compx 0 {\u3001} 00030462 mathrm {sr}} \u3002 \u5bf8\u6cd5\u306e\u30b5\u30a4\u30ba\u306b\u88dc\u52a9\u30e6\u30cb\u30c3\u30c8\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u591a\u304f\u306e\u9818\u57df\u3001\u7279\u306b\u7a7a\u9593\u89d2\u5ea6\u306e\u3088\u3046\u306b\u3001\u4f7f\u7528\u3055\u308c\u308b\u30e6\u30cb\u30c3\u30c8\u304b\u3089\u3059\u3067\u306b\u898b\u3089\u308c\u308b\u3068\u3044\u3046\u5229\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\u5149\u306e\u6d41\u308c\uff08LM\uff09\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u5149\u5f37\u5ea6\uff08CD = LM\/SR\uff09\u306f\u3001\u30e6\u30cb\u30c3\u30c8\u5185\u306esteradiant\u304c\u767a\u751f\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u7a7a\u9593\u89d2\u3078\u306e\u4f9d\u5b58\u6027\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5149\u5f37\u5ea6\u306f\u3001\u7a7a\u9593\u89d2\u306b\u4f9d\u5b58\u3059\u308b\u5149\u6d41\u308c\u3092\u8868\u3057\u307e\u3059\u3002  \u30c7\u30ab\u30eb\u30c8\u6975\u5ea7\u6a19\u30bb\u30af\u30b7\u30e7\u30f3\u304b\u3089\u306e\u90e8\u5c4b\u306e\u89d2\u5ea6 \u30dc\u30fc\u30eb\u306e\u4e09\u89d2\u5f62\u306e\u7a7a\u9593\u89d2\u306f\u3001\u305d\u306e\u5185\u5074\u306e\u89d2\u5ea6\u306b\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059 \uff08 a + b + c  –  pi \uff09\uff09 {displaystyle\uff08alpha +beta +gamma -pi\uff09} steradiant\uff08\u53c2\u7167 \u30d0\u30b0\u30c8\u30e9\u30a4\u30a2\u30f3\u30b0\u30eb – \u30d7\u30ed\u30d1\u30c6\u30a3 \uff09\u3002 \u7403\u72b6\u5ea7\u6a19\u7cfb\u3067\u306f\u3001\u653e\u5c04\u72b6\u5909\u6570\u304c\u306a\u3044\u305f\u3081\u3001\u7a7a\u9593\u89d2\u3092\u7279\u306b\u660e\u78ba\u306b\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002 2\u3064\u306e\u5b50\u5348\u7dda\u89d2 \u30d5\u30a1\u30a4 1{displaystyle varphi _ {1}} \u3001 \u30d5\u30a1\u30a4 2{displaystyle varphi _ {2}} \u304a\u3088\u30732\u3064\u306e\u5e45\u306e\u89d2\u5ea6 c 1{displaystyle\u30ac\u30f3\u30de_ {1}} \u3001 c 2{displaystyle\u30ac\u30f3\u30de_ {2}} \u7403\u9762\u4e0a\u306e\u9762\u7a4d\u8981\u7d20\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002\u95a2\u9023\u3059\u308b\u7a7a\u9593\u89d2\u5ea6\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u304a\u304a = \u222b \u03c61\u03c62\u222b \u03b31\u03b32\u7f6a \u2061 \uff08 c \uff09\uff09  d c  d \u30d5\u30a1\u30a4 {displaystyle omega = int limits _ {varphi _ {1}}}^{varphi _ {2}} int limits _ _ _ _ _ _ _ _ _ rm {d} varphi}  \u30dc\u30fc\u30eb\u306e\u8868\u9762\u306e\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u3068\u3057\u3066\u5186\u3092\u9078\u629e\u3059\u308b\u3068\u3001\u6b63\u898f\u306e\u7a7a\u9593\u89d2\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u30b9\u30da\u30fc\u30b9\u89d2\u306f\u3001\u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u304c\u3042\u308b\u4e0a\u90e8\u306b\u307e\u3063\u3059\u3050\u306a\u5186\u9310\u306e\u30b3\u30fc\u30c8\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 \u306f 2 th {displaystyle 2theta} \u30b3\u30fc\u30f3\u306e\u5148\u7aef\u306e\u958b\u53e3\u89d2\u5ea6\u3001\u6b21\u306b\u30b9\u30da\u30fc\u30b9\u89d2\u5ea6\u304c\u751f\u3058\u307e\u3059 \u304a\u304a {displaystyle omega} \u4e8c\u91cd\u7a4d\u5206\u304b\u3089 [\u521d\u3081] \u03a9=\u222b02\u03c0\u222b0\u03b8sin\u2061(\u03b8\u2032)\u00a0d\u03b8\u2032\u00a0d\u03d5=\u222b02\u03c0d\u03d5\u222b0\u03b8sin\u2061(\u03b8\u2032)\u00a0d\u03b8\u2032=2\u22c5\u03c0\u22c5(1\u2212cos\u2061(\u03b8))=4\u22c5\u03c0\u22c5sin2\u2061(\u03b82){displaystyle {begin {aligned} omega\uff06= int _ {0}^{2pi} int _ {0}^{theta} you\uff08theta \u2019\uff09mathrm {d} theta ph = int _ {d} ph int _ {0}\u3002 ot\uff081-cos\uff08theta\uff09\uff09\\\uff06= 4cdot pi cdot sin ^{2} left\uff08{tfrac {theta} {2}} end {arigned}}}}}  \u958b\u53e3\u89d2 2\u03b8{displaystyle 2theta} \u5352\u696d\u751f 0 \u521d\u3081 2 5 \u5341 15 30 45 57,2958 \u958b\u53e3\u89d2 2\u03b8{displaystyle 2theta} \u653e\u5c04\u3067 0.0000 0.0175 0.0349 0.0873 0.1745 0.2618 0.5236 0.7854 1.0000 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u03a9{displaystyle omega} Quadratgrad\u3067 0.00 0.79 3.14 19.63 78.49 176.46 702.83 1570,10 2525.04 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u03a9{displaystyle omega} steradiant\u3067 0.0000 0.0002 0.0010 0.0060 0.0239 0.0538 0.2141 0.4783 0.7692  \u958b\u53e3\u89d2 2\u03b8{displaystyle 2theta} \u5352\u696d\u751f 60 65,5411 75 90 120 150 180 270 360 \u958b\u53e3\u89d2 2\u03b8{displaystyle 2theta} \u653e\u5c04\u3067 1,0472 1.1439 1,3090 1,5708 2.0944 2,6180 3.1416 4,7124 6,2832 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u03a9{displaystyle omega} Quadratgrad\u3067 2763.42 3282.81 4262,39 6041.36 10313.24 15287.95 20626,48 35211.60 41252,96 \u30e9\u30a6\u30e0\u30a6\u30a3\u30f3\u30b1\u30eb \u03a9{displaystyle omega} steradiant\u3067 0.8418 1.0000 1.2984 1.8403 3.1416 4,6570 6,2832 10,7261 12,5664  \u30d4\u30e9\u30df\u30c3\u30c9\u306e\u7a7a\u9593\u306b \u9577\u65b9\u5f62\u304a\u3088\u3073\u5e73\u3089\u306a\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u3092\u5099\u3048\u305f\u7a7a\u9593\u89d2\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u306f\u3001\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u5e7e\u4f55\u5b66\u7684\u5f62\u72b6\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u539f\u70b9\u306f\u30ec\u30d9\u30eb\u9577\u65b9\u5f62\u306e\u4e2d\u5fc3\u4e0a\u306b\u6b63\u78ba\u306b\u5782\u76f4\u3067\u3059\uff08\u56f3\u3092\u53c2\u7167\uff09\u3002\u3053\u306e\u7a7a\u9593\u89d2\u5ea6\u306fz\u306b\u306a\u308a\u307e\u3059\u3002 B.\u9577\u65b9\u5f62\u306e\u958b\u53e3\u90e8\u3092\u4f7f\u7528\u3057\u3066\u5149\u5b66\u30b7\u30b9\u30c6\u30e0\u306e\u00e9tendue\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3002 Oosterom\u3068Stracke\u306e\u5f0f\u3067\u975e\u5e38\u306b\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u30d4\u30e9\u30df\u30c3\u30c9\u30da\u30fc\u30b8\u4ed8\u304d \u306e \u30d0\u30c4 {displaystylew_ {x}} \u3068 \u306e \u3068 {displaystylew_ {y}} \u9ad8\u3055\u3068\u540c\u69d8\u306b h \u964d\u4f0f\uff1a \u304a\u304a = 4 de \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 wx\u22c5wy2\u22c5h\u22c54\u22c5h2+wx2+wy2\uff09\uff09 {displaystyle omega = 4cdot arctan\u5de6\uff08{frac {w_ {x} cdot w_ {y}} {2cdot hcdot {sqrt {4cdot h^{2}+w_ {x}^{2}+w_ {y}^{2}}}}}}}}} \u8a08\u7b97\u306b2\u3064\u306e\u958b\u53e3\u89d2\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408 2 de \u30d5\u30a1\u30a4 \u30d0\u30c4 {displaystyle 2cdot varphi _ {x}} \u3068 2 de \u30d5\u30a1\u30a4 \u3068 {displaystyle 2cdot varphi _ {y}} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 \u89e3\u6c7a\u3057\u307e\u3059 \u2061 \uff08 \u30d5\u30a1\u30a4 \u30d0\u30c4 \uff09\uff09 = wx2\u22c5h{displaystyle tan\uff08varphi _ {x}\uff09= {frac {w_ {x}} {2cdot h}}}}} \u3068 \u89e3\u6c7a\u3057\u307e\u3059 \u2061 \uff08 \u30d5\u30a1\u30a4 \u3068 \uff09\uff09 = wy2\u22c5h{displaystyle tan\uff08varphi _ {y}\uff09= {frac {w_ {y}} {2cdot h}}}} \u3044\u304f\u3064\u304b\u306e\u4e09\u89d2\u5909\u63db\u304c\u7d9a\u304d\u307e\u3059\uff1a \u304a\u304a = 4 de \u30a2\u30fc\u30af\u30b7\u30f3 \u2061 \uff08 sin\u2061(\u03c6x)\u22c5sin\u2061(\u03c6y)\uff09\uff09 {displaystyle omega = 4cdot arcsin left\uff08sin\uff08varphi _ {x}\uff09cdot sin\uff08varphi _ {y}\uff09\u53f3\uff09} \u4f8b\uff1a  \u70b9\u5149\u6e90\u306e\u524d\u306e\u9577\u65b9\u5f62\u306e\u30ab\u30d0\u30fc\u306f\u3001\u89d2\u5ea645\u00b0\uff08 \u30d5\u30a1\u30a4 \u30d0\u30c4 = 22 \u3001 5 \u2218 {displaystyle varphi _ {x} = 22 {\u3001} 5^{circ}} \uff09\u304a\u3088\u307320\u00b0\uff08 \u30d5\u30a1\u30a4 \u3068 = \u5341 \u2218 {displaystyle varphi _ {y} = 10^{circ}} \uff09a\u3002\u30b9\u30da\u30fc\u30b9\u89d2\u306f0.27 Sr\u3067\u3059\u3002 \u6b63\u65b9\u5f62\u306e\u958b\u53e3\u90e8\u3067\u3042\u308a\u3001\u4e21\u65b9\u306e\u89d2\u5ea6\u304c\u30b5\u30a4\u30ba\u304c20\u00b0\u306e\u5834\u5408\u3001\u30b9\u30da\u30fc\u30b9\u89d2\u306b\u306f0.12 SR\u304c\u542b\u307e\u308c\u307e\u3059\u3002 20\u00b0\u5186\u306e\u30d1\u30cd\u30eb\u306e\u6a19\u6e96\u7a7a\u9593\u89d2\u306f0.10 sr\u3067\u3059\u3002 Table of Contents\u30b9\u30da\u30fc\u30b9\u89d2\u306e3\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30ec\u30a4\u30e4\u30fc\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a8\u30c3\u30b8\u30d5\u30a9\u30fc\u30df\u30e5\u30e9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u65b9\u5411\u30d9\u30af\u30c8\u30eb\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u89d2\u306b3\u3064\u306e\u30a8\u30c3\u30b8\u304c\u3042\u308b\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u901a\u5e38\u306e\u56db\u9762\u4f53 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Gerades Prisma [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30aa\u30af\u30bf\u30d8\u30c0\u30fc\u306e\u5207\u308a\u682a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9685\u306b\u3088\u308a\u591a\u304f\u306e\u30a8\u30c3\u30b8\u304c\u3042\u308b\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7279\u306b\u56db\u89d2\u3044\u30d4\u30e9\u30df\u30c3\u30c9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u901a\u5e38\u306eIkosaeder [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b9\u30da\u30fc\u30b9\u89d2\u306e3\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4ee5\u4e0b\u306b\u306f p 0 \u3001 p \u521d\u3081 \u3001 p 2 \u3001 p 3 {displaystyle p_ {0}\u3001p_ {1}\u3001p_ {2}\u3001p_ {3}} \u30d9\u30af\u30c8\u30eb\u30924\u30dd\u30a4\u30f3\u30c8 P0P1\u2192 \u3001 P0P2\u2192 \u3001 P0P3\u2192 {displaystyle {overrightArrow {p_ {0} p_ {1}}}\u3001{overrightArrow {p_ {0} p_ {2}}}\u3001{overrightArrow {p_ {0} p_ {3}}}}}}}}}} 1\u3064\u306e\u30ec\u30d9\u30eb\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff08\u90e8\u5c4b\u3092\u56fa\u5b9a\u3057\u307e\u3059\uff09\u3001 k 0 {displaystyle k_ {0}} \u5468\u308a\u306e\u5747\u4e00\u306a\u30dc\u30fc\u30eb\u3067\u3059 p 0 {displaystyle p_ {0}} \u3068 s \u521d\u3081 \u3001 s 2 \u3001 s 3 {displaystyle s_ {1}\u3001s_ {2}\u3001s_ {3}} \u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u4ea4\u5dee\u70b9 P0P1\u00af \u3001 P0P2\u00af \u3001 P0P3\u00af {displaystyle {overline {p_ {0} p_ {1}}}\u3001{overline {p_ {0} p_ {2}}}\u3001{overline {p_ {0}}}}}}}} \u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\u3067 k 0 {displaystyle k_ {0}} \u3002 p 0 \u3001 p \u521d\u3081 \u3001 p 2 \u3001 p 3 {displaystyle p_ {0}\u3001p_ {1}\u3001p_ {2}\u3001p_ {3}} \u56db\u9762\u4f53\u3092\u5f62\u6210\u3057\u307e\u3059\u3002  \u89d2\u306b\u5358\u4e00\u306e\u30dc\u30fc\u30eb\u304c\u4ed8\u3044\u305f\u30ad\u30e5\u30fc\u30d6 \u30ec\u30a4\u30e4\u30fc\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b7\u30e7\u30c3\u30d7 a \u521d\u3081 \u3001 a 2 \u3001 a 3 {displaystyle alpha _ {1}\u3001alpha _ {2}\u3001alpha _ {3}} \u7403\u5f62\u306e\u4e09\u89d2\u5f62\u306e s \u521d\u3081 \u3001 s 2 \u3001 s 3 {displaystyle s_ {1}\u3001s_ {2}\u3001s_ {3}} 3\u3064\u306e\u9593\u306e\u89d2\u5ea6\u3067\u3059 \u30ec\u30d9\u30eb \u305d\u308c\u306f3\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u30c8\u30ea\u30d7\u30eb\u3092\u901a\u3057\u3066 \uff08 p 0 \u3001 p \u521d\u3081 \u3001 p 2 \uff09\uff09 {displaystyle\uff08p_ {0}\u3001p_ {1}\u3001p_ {2}\uff09} \u3001 \uff08 p 0 \u3001 p 2 \u3001 p 3 \uff09\uff09 {displaystyle\uff08p_ {0}\u3001p_ {2}\u3001p_ {3}\uff09} \u3001 \uff08 p 0 \u3001 p 3 \u3001 p \u521d\u3081 \uff09\uff09 {displaystyle\uff08p_ {0}\u3001p_ {3}\u3001p_ {1}\uff09} \u30af\u30e9\u30f3\u30d7\u3055\u308c\u308b\u3002 \u7403\u5f62\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d s \u521d\u3081 \u3001 s 2 \u3001 s 3 {displaystyle s_ {1}\u3001s_ {2}\u3001s_ {3}} \u56db\u9762\u4f53\u306e\u89d2\u306e\u5ba4\u5185\u89d2\u5ea6\u3067\u3059 p 0 {displaystyle p_ {0}} \uff08\u4e0a\u8a18\u3092\u53c2\u7167\uff09\uff1a \u304a\u304a = a 1+ a 2+ a 3 –  pi {displaystyle omega = alpha _ {1}+alpha _ {2}+alpha _ {3} -pi} \u3002 \u4f8b\uff1a \u305f\u3081\u306b p 0 = \uff08 0 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p \u521d\u3081 = \uff08 2 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p 2 = \uff08 0 \u3001 2 \u3001 0 \uff09\uff09 \u3001 p 3 = \uff08 0 \u3001 0 \u3001 2 \uff09\uff09 {displaystyle p_ {0} =\uff080,0,0\uff09\u3001p_ {1} =\uff082,0,0\uff09\u3001p_ {2} =\uff080,2,0\uff09\u3001p_ {3} =\uff080,0,2\uff09} \u89d2\u5ea6\u3067\u3059 a \u521d\u3081 = a 2 = a 3 = 90 \u2218 = \u03c02{displaystyle alpha _ {1} = alpha _ {2} = alpha _ {3} = 90^{circ} = {tfrac {pi} {2}}}} \u30bc\u30ed\u30dd\u30a4\u30f3\u30c8\u306e\u30b9\u30da\u30fc\u30b9\u89d2 \u304a\u304a = 3 de \u03c02 –  pi = \u03c02\u2248 \u521d\u3081 \u3001 5707\u3002 {displaystyle omega = 3cdot {frac {pi} {2}}  –  pi = {frac {pi} {2}}\u7d041,5707\u3002}} \u30a8\u30c3\u30b8\u30d5\u30a9\u30fc\u30df\u30e5\u30e9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u304c\u3042\u308b th \u521d\u3081 \u3001 th 2 \u3001 th 3 {displaystyle theta _ {1}\u3001theta _ {2}\u3001theta _ {3}} 3\u3064\u306e\u76f4\u7dda\u306e\u9593\u306e\u89d2\u5ea6 P0P1\u00af \u3001 P0P2\u00af \u3001 P0P3\u00af {displaystyle {overline {p_ {0} p_ {1}}}\u3001{overline {p_ {0} p_ {2}}}\u3001{overline {p_ {0}}}}}}}} \u3002\u305d\u308c\u3089\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059 \u30ec\u30fc\u30b9 \u30dd\u30a4\u30f3\u30c8\u306e\u56db\u9762\u4f53\u306e p 0 {displaystyle p_ {0}} \u3002 \u305d\u306e\u5f8c\u3001\u7a7a\u9593\u89d2\u5ea6\u306f\u3001l’uilier\u306e\u6587\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 [2] \u304a\u304a = 4 de \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 tan\u2061(\u03b81+\u03b82+\u03b834)\u22c5tan\u2061(\u2212\u03b81+\u03b82+\u03b834)\u22c5tan\u2061(\u03b81\u2212\u03b82+\u03b834)\u22c5tan\u2061(\u03b81+\u03b82\u2212\u03b834)\uff09\uff09 {displaystyle omega = 4cdot arctan\u5de6\uff08{sqrt {tan left\uff08{tfrac _ {1}+theta _ {2}+theta _ {3}} {4}}\u53f3\uff09 {3}} {4}}\u53f3\uff09cdot tan left\uff08{tfrac {theta _ {1} -theta _ {2}+theta _ {3}} {4}}\u53f3\uff09 }}\u53f3\uff09}}\u53f3\uff09} \u3002 \u4f8b\uff1a \u305f\u3081\u306b p 0 = \uff08 0 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p \u521d\u3081 = \uff08 2 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p 2 = \uff08 0 \u3001 2 \u3001 0 \uff09\uff09 \u3001 p 3 = \uff08 0 \u3001 0 \u3001 2 \uff09\uff09 {displaystyle p_ {0} =\uff080,0,0\uff09\u3001p_ {1} =\uff082,0,0\uff09\u3001p_ {2} =\uff080,2,0\uff09\u3001p_ {3} =\uff080,0,2\uff09} \u89d2\u5ea6\u3067\u3059 th \u521d\u3081 = th 2 = th 3 = 90 \u2218 {displaystyle theta _ {1} = theta _ {2} = theta _ {3} = 90^{circ}} \u3068 \u304a\u304a = 4 de \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 tan\u2061(270\u22184)\u22c5tan\u2061(90\u22184)\u22c5tan\u2061(90\u22184)\u22c5tan\u2061(90\u22184)\uff09\uff09 {displaystyle omega = 4cdot arctan left\uff08{sqrt {tan left\uff08{tfrac {270^{circ}} {4}}\u53f3\uff09 ot tan left\uff08{tfrac {90^{circ}} {4}}\u53f3\uff09}}\u53f3\uff09} \u3002 \u30dd\u30a4\u30f3\u30c8\u5185\u306e\u7a7a\u9593\u306e\u89d2\u5ea6 p 0 {displaystyle p_ {0}} \uff08\u524d\u3068\u540c\u3058\uff09\u540c\u3058\u3067\u3059 \u304a\u304a \u2248 \u521d\u3081 \u3001 5707 {displaystyle omega\u7d041,5707} \u3002 \u65b9\u5411\u30d9\u30af\u30c8\u30eb\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d9\u30af\u30c8\u30eb\u3067\u3059 r\u2192\u521d\u3081 \u3001 r\u21922 \u3001 r\u21923 {displayStyle {thing {r}} _ {1}\u3001{thing {r}} _ {2}\u3001{thing {r} _ {3}} \u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb P0P1\u00af \u3001 P0P2\u00af \u3001 P0P3\u00af {displaystyle {overline {p_ {0} p_ {1}}}\u3001{overline {p_ {0} p_ {2}}}\u3001{overline {p_ {0}}}}}}}} \u3057\u305f\u304c\u3063\u3066\u3001\u5b87\u5b99\u89d2\u306b\u9069\u7528\u3055\u308c\u307e\u3059 \u304a\u304a = 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 (r\u21921,r\u21922,r\u21923)|r\u21921|\u22c5|r\u21922|\u22c5|r\u21923|+(r\u21921\u22c5r\u21922)\u22c5|r\u21923|+(r\u21921\u22c5r\u21923)\u22c5|r\u21922|+(r\u21922\u22c5r\u21923)\u22c5|r\u21921|\uff09\uff09 {displaystyle omega = 2arctan left\uff08{frac {\uff08thing {r}} _ {1}\u3001{thing {r}} _ {2}\u3001{thing {r}} _ {3}\uff09}} | cdot | {rth {r}} _ {3}} _ {3}} _ {3}} {thing {r}} _ {2}\uff09cdot | {thing {r} {3} |+}\uff09cdot | {thing {r}} _ {2} |+\uff08{thing {r}} _ {2} cdot {thing {r}}} {r whing | {r} }}}}} \u3002 \u3042\u308b \uff08 r\u2192\u521d\u3081 \u3001 r\u21922 \u3001 r\u21923 \uff09\uff09 {displayStyle\uff08{thing {r}} _ {1}\u3001{thing {r}} _ {2}\u3001{thing {r} _ {3}\uff09} \u30d9\u30af\u30bf\u30fc\u306e\u30b9\u30d1\u30fc\u7a4d r\u2192\u521d\u3081 {displaystyle {vec {r}} _ {1}} \u3001 r\u21922 {displaystyle {vec {r}} _ {2}} \u3068 r\u21923 {displaystyle {vec {r}} _ {3}} \u3001 \uff08 r\u2192\u521d\u3081 de r\u21922 \uff09\uff09 {displaystyle\uff08{vec {r}} _ {1} cdot {vec {r}} _ {2}\uff09} \u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u3067\u3059 | r\u2192\u521d\u3081 | {displaystyle | {vec {r}} _ {1} |} \u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u3067\u3059\u3002 \u3053\u306e\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3\u306f\u30011983\u5e74\u306bOosterom\u3068Stracke\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3057\u305f [3] \u6307\u5b9a\u304a\u3088\u3073\u5b9f\u8a3c\u6e08\u307f\u3002 \u4f8b\uff1a \u305f\u3081\u306b p 0 = \uff08 0 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p \u521d\u3081 = \uff08 2 \u3001 0 \u3001 0 \uff09\uff09 \u3001 p 2 = \uff08 0 \u3001 2 \u3001 0 \uff09\uff09 \u3001 p 3 = \uff08 0 \u3001 0 \u3001 2 \uff09\uff09 {displaystyle p_ {0} =\uff080,0,0\uff09\u3001p_ {1} =\uff082,0,0\uff09\u3001p_ {2} =\uff080,2,0\uff09\u3001p_ {3} =\uff080,0,2\uff09} \u305d\u308c\u306f r\u2192\u521d\u3081 = P0P1\u2192 \u3001 r\u21922 = P0P2\u2192 \u3001 r\u21923 = P0P3\u2192 {displaystyle; {vec {r}} _ {1} = {overrightArrow {p_ {0} p_ {1}}}}\u3001; {vec {r}} _ {2} = {overrightArrow {p_ {0}} p_ {2}}}\u3001; rightArrow {p_ {0} p_ {3}};} \u65b9\u5411\u30d9\u30af\u30bf\u30fc\u3002\u3068 \uff08 r\u2192\u521d\u3081 \u3001 r\u21922 \u3001 r\u21923 \uff09\uff09 = 8 \u3001 | r\u2192\u79c1 | = 2 \u3001 r\u2192\u79c1 de r\u2192j = 0 {displayStyle;\uff08{{thing {r}} _ {1}\u3001{thing {r}} _ {2}\u3001{thing {r}} _ {3}\uff09= 8\u3001| {thing {r} {i {i} | {j} = 0;} = 0;} \u305f\u3081\u306b \u79c1 \u2260 j {displaystyle inq j} \u7d50\u679c\uff08\u4e0a\u8a18\u306e\u3088\u3046\u306b\uff09 \u304a\u304a = 2 de \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 \u521d\u3081 \uff09\uff09 = \u03c02{displaystyle omega = 2cdot arctan\uff081\uff09= {frac {pi} {2}}}}} \u89d2\u306b3\u3064\u306e\u30a8\u30c3\u30b8\u304c\u3042\u308b\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7a7a\u9593\u89d2\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306e3\u3064\u306e\u5f0f\u306f\u30013\u3064\u306e\u30a8\u30c3\u30b8\uff08\u30ec\u30d9\u30eb\uff09\u3092\u6301\u3064\u3059\u3079\u3066\u306e\u30dd\u30ea\u30db\u30e9\u30fc\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002 \u901a\u5e38\u306e\u56db\u9762\u4f53 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u901a\u5e38\u306e\u56db\u9762\u4f53\u3067\u3001\u5074\u9762\u9593\u306e\u89d2\u5ea6\u306f a \u521d\u3081 = a 2 = a 3 = \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 2 2 \uff09\uff09 {displaystyle alpha _ {1} = alpha _ {2} = alpha _ {3} = arctan\uff082 {sqrt {2}}\uff09} \u305d\u3057\u3066\u3001\u30ec\u30a4\u30e4\u30fc\u5f0f\u306e\u5f8c \u304a\u304a = 3 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 2 2\uff09\uff09  –  pi \u2248 0 \u3001 5513 s r {displaystyle omega = 3arctan\uff082 {sqrt {2}}\uff09-pi\u7d040,5513; mathrm {sr}} \u30a8\u30c3\u30b8\u30a2\u30f3\u30b0\u30eb\u306f\u3067\u3059 th \u521d\u3081 = th 2 = th 3 = 60 \u2218 {displaystyle theta _ {1} = theta _ {2} = theta _ {3} = 60^{circ}} \u305d\u3057\u3066\u3001\u305d\u308c\u306f\u30a8\u30c3\u30b8\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\u306b\u5f93\u3063\u3066\u9069\u7528\u3055\u308c\u307e\u3059 \u304a\u304a = 4 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 tan\u2061(45\u2218)\u22c5(tan\u206115\u2218)3\uff09\uff09 \u2248 0 \u3001 5513 s r {displaystyle omega = 4arctan\u5de6\uff08{sqrt {tan\uff0845^{circ}\uff09cdot\uff08tan 15^{circ}\uff09^{3}}}\u53f3\uff09\u7d040,5513; mathrm {sr}} Gerades Prisma [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b9\u30c8\u30ec\u30fc\u30c8\u30d7\u30ea\u30ba\u30e0\u306b\u306f\u3001\u30d9\u30fc\u30b9\u30a8\u30ea\u30a2\u3068\u3057\u3066N_CCK\u304c\u3042\u308a\u3001\u5e8a\u9762\u7a4d\u5782\u76f4\u65b9\u5411\u306e\u4ed6\u306e\u30a8\u30c3\u30b8\uff08\u30ec\u30d9\u30eb\uff09\u304c\u3042\u308a\u307e\u3059\u3002 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u89d2\u5ea6\u3067\u3059 p {displaystyle p} \u57fa\u672c\u30a8\u30ea\u30a2\u30dd\u30ea\u30b4\u30f3\u306e a {displaystyle alpha} \u3053\u308c\u306b\u7d9a\u3044\u3066\u3001\u7a7a\u9593\u89d2\u5ea6\u306e\u5074\u9762\u306e\u76f4\u4ea4\u6027\u306e\u305f\u3081\u306b\u30ec\u30a4\u30e4\u30fc\u5f0f\uff08\u4e0a\u8a18\u53c2\u7167\uff09\u304c\u7d9a\u304d\u307e\u3059 p {displaystyle p}  \u304a\u304a = a + \u03c02+ \u03c02 –  pi = a {displaystyle omega = alpha +{frac {pi} {2}} +{frac {pi} {2}} -pi = alpha} \u3002   \u30aa\u30af\u30bf\u30d8\u30c0\u30fc\u306e\u5207\u308a\u682a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u516b\u9762\u4f53\u306e\u5207\u308a\u682a\u306f\u3001\u901a\u5e38\u306e\u516b\u9762\u4f53\u306e\u5272\u793c\u306b\u3088\u3063\u3066\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u9685\u306b p {displaystyle p} 3\u3064\u306e\u30a8\u30c3\u30b8\u30683\u3064\u306e\u30ec\u30d9\u30eb\u30012\u3064\u306e\u901a\u5e38\u306e\u516d\u89d2\u5f62\u3068\u6b63\u65b9\u5f62\u306b\u4f1a\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012\u3064\u306e\u9818\u57df\u304c\u3042\u308a\u307e\u3059\u3002 a \u521d\u3081 {displaystyle alpha _ {1}} 2\u3064\u306e\u516d\u89d2\u5f62\u306e\u9593\u3068 a 2 {displaystyle alpha _ {2}} \u516d\u89d2\u5f62\u3068\u6b63\u65b9\u5f62\u306e\u9593\u3002\u9069\u7528\u3055\u308c\u307e\u3059\uff08Octaheder Stump\u3092\u53c2\u7167\uff09 a 1= 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 2\u3001 a 2= pi  –  \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 2\u3002 {displaystyle alpha _ {1} = 2arctan {sqrt {2}}\u3001quad alpha _ {2} = pi -arctan {sqrt {2}}\u3002}}} \u4e0a\u8a18\u306e\u30ec\u30d9\u30eb\u306e\u5f0f\u306b\u3088\u308b\u3068\u3001\u7a7a\u9593\u89d2\u5ea6\u306f\u30dd\u30a4\u30f3\u30c8\u306b\u3042\u308a\u307e\u3059 p {displaystyle p}  \u304a\u304a = a 1+ 2 a 2 –  pi = pi {displaystyle omega = alpha _ {1}+2alpha _ {2} -pi = pi} \u30aa\u30af\u30bf\u30d8\u30c0\u30fc\u306e\u5207\u308a\u682a\u306e\u89d2\u306e\u30b9\u30da\u30fc\u30b9\u89d2\u5ea6\u306f\u540c\u3058\u3067\u3059 14{displaystyle {tfrac {1} {4}}} \u30d5\u30eb\u30b9\u30da\u30fc\u30b9\u30a2\u30f3\u30b0\u30eb\u306e\u3002\u3053\u306e\u7d50\u679c\u306f\u30013\u6b21\u5143\u306e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u3092\u4e00\u81f4\u3059\u308b\u30aa\u30af\u30bf\u30d8\u30c0\u30fc\u306e\u5207\u308a\u682a\u3067\u5b8c\u5168\u306b\u8a18\u5165\u3067\u304d\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u3063\u3066\u78ba\u8a8d\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u90e8\u5c4b\u306e\u8a70\u3081\u7269 \uff09\u3002 \u9685\u306b\u3088\u308a\u591a\u304f\u306e\u30a8\u30c3\u30b8\u304c\u3042\u308b\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 3\u3064\u4ee5\u4e0a\u306e\u30a8\u30c3\u30b8\u304c\u30dd\u30ea\u30c0\u30fc\u30b3\u30fc\u30ca\u30fc\u3092\u901a\u904e\u3059\u308b\u5834\u5408\u30013\u3064\u4ee5\u4e0a\u306e\u89d2\u3092\u6301\u3064\u7403\u72b6\u30dd\u30ea\u30b4\u30f3\u304c\u3042\u308a\u307e\u3059\u3002\u591a\u304f\u306e\u5834\u5408\u3001\u7403\u5f62\u30dd\u30ea\u30b4\u30f3\u306f\u3001\u5185\u5074\u306e\u88dc\u52a9\u30dd\u30a4\u30f3\u30c8\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u4f7f\u7528\u3067\u304d\u307e\u3059 \u3068 {displaystyle with} \u7403\u5f62\u306e\u4e09\u89d2\u5f62\u306b\u30d6\u30e9\u30b7\u3092\u304b\u3051\u307e\u3059\uff08\u5e73\u3089\u306a\u51f8\u30dd\u30ea\u30b4\u30f3\u306e\u4e09\u89d2\u6e2c\u91cf\u306b\u985e\u4f3c\uff09\u3002 \u7279\u306b\u56db\u89d2\u3044\u30d4\u30e9\u30df\u30c3\u30c9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u7279\u306b\u56db\u89d2\u3044\u30d4\u30e9\u30df\u30c3\u30c9\uff1a\u5b87\u5b99\u89d2\u8a08\u7b97\u306e\u305f\u3081\u306b\u4e0a\u90e8\u3067\u5206\u89e3 \u6b63\u65b9\u5f62\u306e\u5074\u9762\u3092\u6301\u3064\u307e\u3063\u3059\u3050\u306a\u6b63\u65b9\u5f62\u306e\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u5834\u5408 a {displaystyle a} \u3068\u9ad8\u3055 h {displaystyle h} \u4e09\u89d2\u5f62\u9593\u306e\u89d2\u5ea6\u3067\u3059 b 1= 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 12h4h2+2a2\uff09\uff09 {displaystyle beta _ {1} = 2arctan left\uff08{frac {1} {2h}} {sqrt {4h^{2}+2a^{2}}}}}} \u30b1\u30fc\u30ad\u304b\u3089\u3001\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u9ad8\u3055\u306b\u6cbf\u3063\u3066\u30012\u3064\u306e\u96a3\u63a5\u3059\u308b\u57fa\u5e95\u30dd\u30a4\u30f3\u30c8\u306a\u3069\u306e\u30d4\u30e9\u30df\u30c3\u30c9\u3092\u5207\u308a\u53d6\u308b\u3068\u3001\u30d9\u30fc\u30b9\u306b\u4e09\u89d2\u5f62\u306e\u5e8a\u9818\u57df\u3068\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u7e01\u304c\u3042\u308b\u30d4\u30e9\u30df\u30c3\u30c9\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u4e09\u89d2\u5f62\u306e\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u4e0a\u90e8\u306b\u3042\u308b\u7a7a\u9593\u306e\u89d2\u5ea6\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u304a\u304a 3= \u03c02+ \u03b212+ \u03b212 –  pi = b 1 –  \u03c02{displaystyle omega _ {3} = {frac {pi} {2}}+{frac {beta _ {1}} {2}}+{frac {beta _ {1}}} {2}}  –  pi = beta _ {1}-{} {pi} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {pi} {pi} {pi} = 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 12h4h2+2a2\uff09\uff09  –  \u03c02{displaystyle quad = 2arctan left\uff08{frac {1} {2h}}} {sqrt {4h^{2}+2a^{2}}}\u53f3\uff09 –  {frac {pi} {2}}}} \u305d\u3057\u3066\u3001\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u5b87\u5b99\u89d2\u304c\u4e00\u756a\u4e0a\u306b\u3042\u308a\u307e\u3059 \u304a\u304a S= 4 de \u304a\u304a 3= 8 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 12h4h2+2a2\uff09\uff09  –  2 pi {displaystyle omega _ {s} = 4cdot omega _ {3} = 8arctan left\uff08{frac {1} {2h} {2h}} {sqrt {4h^{2}+2a^{2}}} right\uff09-2pi} \u4e09\u89d2\u5f62\u3068\u6b63\u65b9\u5f62\u306e\u9593\u306e\u89d2\u5ea6\u306f\u3067\u3059 b 2= \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 2ha{displaystyle beta _ {2} = arcan {fract {2h} {a}}}}}} \u30ec\u30a4\u30e4\u30fc\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30b9\u30da\u30fc\u30b9\u89d2\u5ea6\u306e\u30d9\u30fc\u30b9\u30b3\u30fc\u30ca\u30fc\u306b\u306a\u308a\u307e\u3059 \u304a\u304a B= b 1+ b 2+ b 2 –  pi {displaystyle omega _ {b} = beta _ {1}+beta _ {2}+beta _ {2} -pi} = 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 \uff08 12h4h2+2a2\uff09\uff09 + 2 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 2ha –  pi {displaystyle = 2Arctan left\uff08{frac {1} {2h}}} {sqrt {4h^{2}+2a^{2}}} right\uff09+2; arctan {frac {2h} {a}}  –  pi}  –  pi}  –  \u7279\u5225\uff1a  \u305f\u3081\u306b h = a 2{displaystyle h = {frac {a} {sqrt {2}}}}} \u30d4\u30e9\u30df\u30c3\u30c9\u306e\u3082\u306e\u3067\u3059 \u30cf\u30fc\u30d5\u30aa\u30af\u30bf\u30a4\u30d8\u30c0\u30fc \u3002\u3053\u306e\u5834\u5408\u3001\u30b9\u30da\u30fc\u30b9\u89d2\u306f\u4e0a\u90e8\u306b\u3042\u308a\u307e\u3059 \u304a\u304a O= 8 \u30a2\u30fc\u30af\u30af\u30bf\u30f3 \u2061 2 –  2 pi = 2 \u304a\u304a B{displaystyle omega _ {o} = 8arctan {sqrt {2}} -2pi = 2omega _ {b}} \u3002  \u56db\u89d2\u3044\u30d4\u30e9\u30df\u30c3\u30c9\uff1a\u534a\u5206\u306e\u30aa\u30af\u30bf\u30a4\u30b6\u30fc  Ikosaeder\u3001Raumwinkel \u03a9{displaystyle omega} \u901a\u5e38\u306eIkosaeder [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u3053\u3067\u8aac\u660e\u3059\u308b\u65b9\u6cd5\u306f\u3001\u901a\u5e38\u306eIkosaeder\u306e\u30b9\u30da\u30fc\u30b9\u89d2\u3092\u6c7a\u5b9a\u3059\u308b\u969b\u306b\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 Ikosaeder\u3092\u4f7f\u7528\u3059\u308b\u3068\u30015\u3064\u306e\u30a8\u30c3\u30b8\u304c\u5404\u30b3\u30fc\u30ca\u30fc\u3092\u901a\u904e\u3057\u307e\u3059\u3002\u901a\u5e38\u306e\u4e94\u89d2\u5f62\u3092\u5099\u3048\u305f\u30d4\u30e9\u30df\u30c3\u30c9\u306e\u5b87\u5b99\u89d2\u306f\u3001\u30d9\u30fc\u30b9\u3068\u3057\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002 \u2191  \u30aa\u30ec\u30b0\u30fb\u30de\u30be\u30f3\u30ab\uff1a \u5186\u9310\u8868\u9762\u3001\u591a\u9762\u4f53\u30b3\u30fc\u30f3\u3001\u304a\u3088\u3073\u4ea4\u5dee\u3059\u308b\u7403\u72b6\u30ad\u30e3\u30c3\u30d7\u306e\u5143\u89d2\u5ea6  \u2191  Wolfram Mathworld\uff1a \u7403\u72b6\u306e\u904e\u5270  \u2191  A.\u30f4\u30a1\u30f3\u30fb\u30aa\u30b9\u30c6\u30eb\u30e0\u3001J\u3002\u30b9\u30c8\u30e9\u30c3\u30ad\u30fc\uff1a \u5e73\u9762\u4e09\u89d2\u5f62\u306e\u5143\u89d2 \u3002\u306e\uff1a \u751f\u7269\u533b\u5b66\u5de5\u5b66\u3001IEEE\u53d6\u5f15 \u3002 BME-30\u3001 \u3044\u3044\u3048\u3002  2 \u30011983\u5e74\u3001 S.  125\u2013126 \u3001doi\uff1a 10.1109\/tbme.1983.325207 \u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/7531#breadcrumbitem","name":"Raumwinkel  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]