# 角の三等分線出来てませんか？

2016/4/823:14:15

207

4

## ベストアンサーに選ばれた回答

2016/4/910:30:53

もうひとつのほうに回答したかったのですが，ちまちまと説明図を描いている間に回答できなくなってしまっていたので，こちらに回答いたします。

この定理から考えますと，ｃ＝ｄになるためには，ａ＝ｂでないといけないのです。
ですから，質問者さまの作図で角の大きさが等しくなっているのならば，赤い○でかこったところの長さは違わなければならないのですが，

もし，質問者さまが「角の二等分線の定理」をまだ習っていらっしゃらなかったり，ご存知ないとすれば，

また，二等辺三角形でない，ただの三角形の底辺の中点と，それと向かいあう頂点を結んだ線(中線といいます。右下の図のピンクの線です。)は，角の二等分線とずれてしまいます(右下の図)。

すでに解決しているみたいで，しかも同じ説明ですので，もうわかっとるわい，と思われるかもしれませんが，せっかく作った図がオクラ入りになるのもアレなんで，(けっこう時間かかったし～)，こちらがあったので，こちらに書き込みました。。。

## 質問した人からのコメント

2016/4/9 10:52:33

よく確かめもせず、下らない質問してしまいすいませんでした<(_ _)>

## ベストアンサー以外の回答

1〜3件/3件中

|古い順

2016/4/910:51:57

\title{\bf Announcement 214: Surprising mathematical feelings of a 7 years old girl
}
\author{{\it Institute of Reproducing Kernels}\\

\date{}
\maketitle
{\bf Abstract: } In this announcement, we shall give the two surprising mathematical feelings of 7 years old girl Eko Michiwaki who stated the division by 3 of any angle and the division by zero $100/0=0$ as clear and trivial ones. As well-known, these famous problems are historical, and her results will be quite original.
\bigskip
\section{ Introduction}
We had met, 7 years old girl, Eko Michiwaki on November 23, 2014 at Tokyo Institute of Technology and August 23, 2014 at Kusatu Seminor House, with our colleagues. She, surprisingly enough, stated there repeatedly the division by 3 of any angle and the division by zero $100/0=0$ as clear and trivial ones. As well-known, these famous problems are historical and her results will be quite original.
\section{The division of any angle by 3}
\medskip
Eko Michiwaki said:
divide a given angle with 4 equal angles; this is simly done. Next, we divide one divided angle
with 4 equal angles similarly and the three angles add to other 3 angles. By continuing this procedure, we will be able to obtain the division by 3 of any angle. Her idea may be stated mathematically as follows:
$$\frac{1}{4} + \frac{1}{4^2} + \frac{1}{4^3} + ... ...= \frac{1}{3}.$$
However, her idea seems to be more clear than the above mathematical formula. For this sentence, see \cite{ann3} for the sense of the limit.
\bigskip
\section{The division by zero $100/0=0$}
\medskip
As we stated in \cite{ann1}, she stated that division by zero $100/0=0$ is clear and trivial for our recent results \cite{cs,kmsy,s,ttk}. The basic important viewpoint is that division and product are different concepts and the division by zero $100/0=0$ is clear and trivial from the own sense of the division, independently of product \cite{ann1}. From the viewpoint, our colleagues stated as follows:
\medskip
On July 11, 2014, Seiichi Koshiba and Masami Yamane said at
Gunma University:
The idea for the division of Hiroshi Michiwaki and Eko Michiwaki (6 years
old daughter) is that division and product are different concepts and they
were calculated independently for long old years, by repeated addition and
subtraction, respectively. Mathematicians made the serious mistake for very
long years that the division by zero is impossible by considering that division
is the inverse operation of product. The division by zero was, however, clear
and trivial, as z/0=0, from the own nature of division.
\medskip
On February 21, 2015, Seiichi Koshiba and Masami Yamane visited our Institute and we confirmed this meaning of these sentences and the basic idea on the division by zero.
\medskip
(2015.2.27)
\bigskip
\bibliographystyle{plain}
\begin{thebibliography}{10}
\bibitem{cs}
L. P. Castro and S.Saitoh, Fractional functions and their representations, Complex Anal. Oper. Theory {\bf7} (2013), no. 4, 1049-1063.
\bibitem{kmsy}
M. Kuroda, H. Michiwaki, S. Saitoh, and M. Yamane,
New meanings of the division by zero and interpretations on $100/0=0$ and on $0/0=0$,
Int. J. Appl. Math. Vol. 27, No 2 (2014), pp. 191-198, DOI: 10.12732/ijam.v27i2.9.
\bibitem{s}
S. Saitoh, Generalized inversions of Hadamard and tensor products for matrices, Advances inLinear Algebra \& Matrix Theory. Vol.4 No.2 (2014), 87-95.http://www.scirp.org/journal/ALAMT/
\bibitem{ttk}
S.-E. Takahasi, M. Tsukada and Y. Kobayashi, Classification of continuous fractional binary operations on the real and complex fields, Tokyo Journal of Mathematics (in press).
\bibitem{ann1}
Announcement 179: Division by zero is clear as z/0=0 and it is fundamental in mathematics,
Institute of Reproducing Kernels, 2014.10.22.
\bibitem{ann2}
Announcement 185: The importance of the division by zero $z/0=0$, Institute of Reproducing Kernels, 2014.11.28.
\bibitem{ann3}
Announcement 213: An interpretation of the identity $0.999999...... =1$, Institute of Reproducing Kernels, 2015.2.26.
\end{thebibliography}
\end{document}

2016/4/910:35:53

2016/4/823:47:07

どういう作図をしたかがわかりません．

## この質問につけられたタグ

みんなで作る知恵袋　悩みや疑問、なんでも気軽にきいちゃおう！

Q&Aをキーワードで検索：

## Yahoo!知恵袋カテゴリ

Yahoo! JAPANは、回答に記載された内容の信ぴょう性、正確性を保証しておりません。
お客様自身の責任と判断で、ご利用ください。

「追加する」ボタンを押してください。

※知恵コレクションに追加された質問は選択されたID/ニックネームのMy知恵袋で確認できます。