[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4662#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4662","headline":"\u5730\u533a\u30bb\u30b0\u30e1\u30f3\u30c8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u5730\u533a\u30bb\u30b0\u30e1\u30f3\u30c8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 a \u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8 \uff08\u307e\u305f \u4e38 \u30bb\u30af\u30b7\u30e7\u30f3 \uff09\u5e7e\u4f55\u5b66\u306e\u5186\u5f62\u9818\u57df\u306e\u4e00\u90e8\u3067\u3042\u308a\u3001\u5186\u5f62\u306e\u30a2\u30fc\u30c1\u3068\u5186\u5f62\u8171\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u307e\u3059\uff08\u300c\u5730\u533a\u30bb\u30af\u30bf\u30fc\/\u5730\u533a\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u5186\u5f62\u300d\u30682\u3064\u306e\u5186\u5f62\u534a\u5f84\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u629c\u7c8b “\uff09\u3002 after-content-x4 \u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u30b5\u30a4\u30ba\uff1a \u03b1=\u4e2d\u5fc3\u70b9\u89d2 b =\u5186\u5f62\u30a2\u30fc\u30c1 h =segmenth\u00f6he r =\u534a\u5f84 S =\u5186\u5f62\u8171","datePublished":"2020-04-05","dateModified":"2020-04-05","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\/8\/8a\/Circular_segment.svg\/350px-Circular_segment.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/8a\/Circular_segment.svg\/350px-Circular_segment.svg.png","height":"226","width":"350"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4662","wordCount":5434,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 a \u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8 \uff08\u307e\u305f \u4e38 \u30bb\u30af\u30b7\u30e7\u30f3 \uff09\u5e7e\u4f55\u5b66\u306e\u5186\u5f62\u9818\u57df\u306e\u4e00\u90e8\u3067\u3042\u308a\u3001\u5186\u5f62\u306e\u30a2\u30fc\u30c1\u3068\u5186\u5f62\u8171\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u307e\u3059\uff08\u300c\u5730\u533a\u30bb\u30af\u30bf\u30fc\/\u5730\u533a\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u5186\u5f62\u300d\u30682\u3064\u306e\u5186\u5f62\u534a\u5f84\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u629c\u7c8b “\uff09\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u30b5\u30a4\u30ba\uff1a  \u03b1=\u4e2d\u5fc3\u70b9\u89d2 b =\u5186\u5f62\u30a2\u30fc\u30c1 h =segmenth\u00f6he r =\u534a\u5f84 S =\u5186\u5f62\u8171 A =\u30bb\u30b0\u30e1\u30f3\u30c8\u9818\u57df M =\u30bb\u30f3\u30bf\u30fc \u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u9762\u7a4d\u306f\u3001\u5186\u5f62\u534a\u5f84\u304b\u3089\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 r {displaystyle r} \u305d\u3057\u3066\u95a2\u9023\u3059\u308b \u4e2d\u5fc3\u89d2         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4a {displaystyle alpha} \u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u5bfe\u5fdc\u3059\u308b\u5186\u5f62\u30bb\u30af\u30bf\u30fc\u306e\u9818\u57df\u3068\u30b9\u30b1\u30c3\u30c1\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u540c\u7b49\u306e\u4e09\u89d2\u5f62AMB\u304c\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002\u4e2d\u5fc3\u89d2\u304c180\u00b0\u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u306f\u3001\u3053\u306e\u9818\u57df\u306e\u30b3\u30f3\u30c6\u30f3\u30c4\uff08\u30bb\u30af\u30bf\u30fc\u8868\u9762\u304b\u3089\u4e09\u89d2\u9818\u57df\u3092\u5f15\u3044\u305f\u3082\u306e\uff09\u3092\u5dee\u3057\u5f15\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4e2d\u5fc3\u89d2\u5ea6\u304c180\u00b0\u3092\u8d85\u3048\u308b\u3068\u3001\u9762\u7a4d\u30b3\u30f3\u30c6\u30f3\u30c4\u3092\u8ffd\u52a0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4e2d\u5fc3\u89d2\u304c180\u00b0\u306e\u5834\u5408\u3001\u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8\u306f\u534a\u5186\u306e\u9818\u57df\u3067\u3042\u308a\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f0\u3067\u3059\u3002 \u6b21\u306e\u8868\u306e\u5f0f\u3067\u306f\u3001\u89d2\u5ea6\u306f\u30a2\u30fc\u30c1\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u7a0b\u5ea6\u306e\u89d2\u5ea6\u306e\u6e2c\u5b9a\u5024\u304b\u3089\u30a2\u30fc\u30c1\u3078\u306e\u5909\u63db\u306f\u3001\u8981\u56e0\u3068\u3068\u3082\u306b\u8d77\u3053\u308a\u307e\u3059 pi \/ 180 \u2218{displaystyle pi \/180^{circ}} \uff08s\u3002\u653e\u5c04\uff09\u3002 \u5186\u5f62\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u30d5\u30a9\u30fc\u30df\u30e5\u30e9 \uff08\u30a2\u30fc\u30c1\u30b5\u30a4\u30ba\u306e\u3059\u3079\u3066\u306e\u89d2\u5ea6\uff09 \u30a8\u30ea\u30a2        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4A=r22\u22c5(\u03b1\u2212sin\u2061\u03b1){displaystyle a = {frac {r^{2}} {2} {2}} cdot left\uff08alpha -sin alpha\u53f3\uff09} A=r\u22c5b2\u2212s\u22c5(r\u2212h)2{displaystyle A={frac {rcdot b}{2}}-{frac {scdot (r-h)}{2}}}A=12arctan\u2061(2hs)\u22c5(4h2+s2)2+hs\u22c5(4h2\u2212s2)16h2{displaystyle A={frac {{frac {1}{2}}arctan left({frac {2h}{s}}right)cdot left(4h^{2}+s^{2}right)^{2}+hscdot left(4h^{2}-s^{2}right)}{16h^{2}}}}A=r2\u22c5arccos\u2061(1\u2212hr)\u2212(r\u2212h)\u22c52rh\u2212h2{displaystyle A=r^{2}cdot arccos {left(1-{frac {h}{r}}right)}-(r-h)cdot {sqrt {2rh-h^{2}}}}A=r2\u22c5arcsin\u2061(s2r)\u2212s\u22c5(r\u2212h)2{displaystyle A=r^{2}cdot arcsin {left({frac {s}{2r}}right)}-{frac {scdot (r-h)}{2}}}A\u224823s\u22c5h{displaystyle Aapprox {frac {2}{3}}scdot h}[\u521d\u3081] \u534a\u5f84 r=4h2+s28h{displaystyle r = {frac {4h^{2}+s^{2}} {8h}}}} r=s2\u22c5sin\u2061\u03b12{displaystyle r={frac {s}{2cdot sin {frac {alpha }{2}}}}}r=h1\u2212cos\u2061(\u03b12){displaystyle r={frac {h}{1-cos left({frac {alpha }{2}}right)}}} \u5186\u5f62 s=2r\u22c5sin\u2061(\u03b12){displaystyle s = 2rcdot sin left\uff08{frac {alpha} {2}}\u53f3\uff09}} s=2htan\u2061(\u03b14)=2h\u22c5cot\u2061(\u03b14){displaystyle s={frac {2h}{tan left({frac {alpha }{4}}right)}}=2hcdot cot left({frac {alpha }{4}}right)}s=2\u22c5r2\u2212(r\u2212h)2=22rh\u2212h2{displaystyle s=2cdot {sqrt {r^{2}-(r-h)^{2}}}=2{sqrt {2rh-h^{2}}}} segmenth\u00f6he h=r\u22c5(1\u2212cos\u2061(\u03b12)){displaystyle h = rcdot\u5de6\uff081-cos\u5de6\uff08{frac {alpha} {2}}\u53f3\uff09}} h=r\u2212r2\u2212(s2)2=r\u2212124r2\u2212s2{displaystyle h=r-{sqrt {r^{2}-left({frac {s}{2}}right)^{2}}}=r-{frac {1}{2}}{sqrt {4r^{2}-s^{2}}}}h=s2\u22c5tan\u2061(\u03b14){displaystyle h={frac {s}{2}}cdot tan left({frac {alpha }{4}}right)} \u30a2\u30fc\u30af b=r\u22c5\u03b1{displaystyle b = rcdot alpha} b=\u03b1\u22c5(4h2+s2)8h{displaystyle b={frac {alpha cdot left(4h^{2}+s^{2}right)}{8h}}}b=arctan\u2061(2hs)\u22c5(4h2+s2)2h{displaystyle b={frac {arctan left({frac {2h}{s}}right)cdot left(4h^{2}+s^{2}right)}{2h}}}b=2\u22c5r\u22c5arcsin\u2061(s2r){displaystyle b=2cdot rcdot arcsin left({frac {s}{2r}}right)} \u4e2d\u5fc3\u89d2 \u03b1=2\u22c5arctan\u2061(s2(r\u2212h)){displaystyle alpha = 2cdot arctan\u5de6\uff08{frac {s} {2\uff08r-h\uff09}}\u53f3\uff09} \u03b1=2\u22c5arccos\u2061(1\u2212hr){displaystyle alpha =2cdot arccos left(1-{frac {h}{r}}right)}\u03b1=2\u22c5arcsin\u2061(s2r){displaystyle alpha =2cdot arcsin left({frac {s}{2r}}right)}\u03b1=2\u22c5arcsin\u2061(4hs4h2+s2){displaystyle alpha =2cdot arcsin left({frac {4hs}{4h^{2}+s^{2}}}right)} \u03b1=4\u22c5arctan\u2061(2hs){displaystyle alpha =4cdot arctan left({frac {2h}{s}}right)} \u30a8\u30ea\u30a2\u306e\u30a8\u30ea\u30a2 xs=43\u22c5r\u22c5sin3\u2061(\u03b12)\u03b1\u2212sin\u2061\u03b1,ys=0{displaystyle x_ {s} = {frac {4} {3}} cdot {frac {rcdot sin ^{3} left\uff08{frac {alpha} {2}}} {alpha -sin alpha}}}\u3001qquad y_ {s} = 0} xs=s312\u22c5A,ys=0{displaystyle x_{s}={frac {s^{3}}{12cdot A}},qquad y_{s}=0}\u7279\u5225\u306a\u30b1\u30fc\u30b9\u7cbe\u6db2\uff1a xs=4r3\u03c0,ys=0{displaystyle x_{s}={frac {4r}{3pi }},qquad y_{s}=0} \u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u9ad8\u3055\u306f\u30b5\u30ae\u30c3\u30bf\uff08\u300c\u77e2\u5370\u300d\u306e\u30e9\u30c6\u30f3\u8a9e\uff09\u3068\u3082\u547c\u3070\u308c\u3001\u95a2\u9023\u3059\u308b\u5f0f\u306f\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002\u534a\u5f84\u3068\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u9ad8\u3055\u306e\u9055\u3044\u306e\u30eb\u30fc\u30c8\u306f\u3001\u5186\u5f62\u8171\u306e\u534a\u5206\u3092\u6301\u3064hypotenuse\u3068\u3057\u3066\u534a\u5f84\u3092\u6301\u3064\u53f3\u89d2\u306e\u4e09\u89d2\u5f62\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u3001\u305d\u308c\u306b\u5fdc\u3058\u3066\u5f62\u6210\u3067\u304d\u307e\u3059\u3002 r 2= (s2)2+ \uff08 r  –  h \uff09\uff09 2{displaystyle r^{2} = left\uff08{tfrac {s} {2}}\u53f3\uff09^{2}+\uff08r-h\uff09^{2}} \u3002 [2] 3\u6b21\u5143\u306e\u30a2\u30ca\u30ed\u30b0\u306f\u30dc\u30fc\u30eb\u30bb\u30b0\u30e1\u30f3\u30c8\u3067\u3059\u3002 \u2191  HorstSt\u00f6cker\uff1a \u6570\u5b66\u5f0f\u3068\u8a08\u7b97\u79d1\u5b66\u306e\u30cf\u30f3\u30c9\u30d6\u30c3\u30af \u3002 Springs\u30011998\u3001ISBN 0-387-94746-9\u3002   \u2191  \u30a8\u30ea\u30c3\u30af\u30fbW\u30fb\u30dd\u30a4\u30f3\u30bf\u30fc\u30b7\u30e5\u30bf\u30a4\u30f3\uff1a \u77e2\u5370 \u3002 \u306e\uff1a Mathworld \uff08\u82f1\u8a9e\uff09\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\/4662#breadcrumbitem","name":"\u5730\u533a\u30bb\u30b0\u30e1\u30f3\u30c8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]