老大TONY的數學筆記
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how to bisect an angel by one compass？
how to bisect an angel requires one compass setting and three arcs
we're expecting to cut this angel in half here
The first need to do as you take your campass with this needle and you place it on the vertex of the angel
open up your compass to a comfortable length that works for you
you are gonna strike an arc through both sides of the angel
you can change the setting if you want.but it has to be the exact same settings of the first arc.
you could have whatever setting you want as long as you go through both sides for the next to arcs and has to be the exact same setting
i'm strike an arc out here so that crosses through the center the interior of this angle here
then i'm going to put the needle on the other original intersection I had, make another arc
here where it intersects the first mark.
after that that intersection you need to take straight edge
you can create a ray or a line segment drawn through the vertex of the original angle through the intersection of those two arcs
and then you have yourself an angle bisector
如何通過圓規來平分一個角？
平分一個角需要一個圓規，再做三條弧線。
我們想要平分這個角。
首先你要把你的圓規用針尖兒來對準這個角的頂點。
打開你的圓規到一個合適的長度，你要用這個長度來工作。
你要畫一個弧通過這個角的兩邊，
你也可以改變你的設置。但是注意第二個弧線角度必須和第一個一樣。
你可以選用你喜歡的任何設置。只要兩次通過角邊邊的弧時圓規設置是一樣的。
我現在在畫一個弧線它可以通過這個角的中心區域。（此處省略圓規的針尖位置，針尖的位置應該位於。第一個圓弧和角邊長的交點處）
然後再把中間放到另一個交點處，再做一個相同的弧。
他們相交在一個交點。
在交點處你可以做一條直線。
你可以做一條射線或者是線段。通過頂點和兩個弧線的交點。
然後你就有你自己的角平分線了。
答案：
how to bisect an angel by one compass？ 如何通過圓規來平分一個角？
how to bisect an angel requires one compass setting and three arcs 平分一個角需要一個圓規，再做三條弧線。
we're expecting to cut this angel in half here 我們想要平分這個角。
The first need to do as you take your campass with this needle and you place it on the vertex of the angel 首先你要把你的圓規用針尖兒來對準這個角的頂點。
open up your compass to a comfortable length that works for you 打開你的圓規到一個合適的長度，你要用這個長度來工作。
you are gonna strike an arc through both sides of the angel 你要畫一個弧通過這個角的兩邊，
you can change the setting if you want.but it has to be the exact same settings of the first arc. 你也可以改變你的設置。但是注意第二個弧線角度必須和第一個一樣。
you could have whatever setting you want as long as you go through both sides for the next to arcs and has to be the exact same setting 你可以選用你喜歡的任何設置。只要兩次通過角邊邊的弧時圓規設置是一樣的。
i'm strike an arc out here so that crosses through the center the interior of this angle here 我現在在畫一個弧線它可以通過這個角的中心區域。（此處省略圓規的針尖位置，針尖的位置應該位於。第一個圓弧和角邊長的交點處）
then i'm going to put the needle on the other original intersection I had, make another arc 然後再把中間放到另一個交點處，再做一個相同的弧。
here where it intersects the first mark. 他們相交在一個交點。
after that that intersection you need to take straight edge 在交點處你可以做一條直線。
you can create a ray or a line segment drawn through the vertex of the original angle through the intersection of those two arcs 你可以做一條射線或者是線段。通過頂點和兩個弧線的交點。
and then you have yourself an angle bisector 然後你就有你自己的角平分線了。
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