Journal of elementary mathematics─SHOTOH SUGAKU─

VOL.43　January 2002
Preface
How we can make our students not to lose interest in Arithmetic and Mathematics	Saburo Tamura
Articles in memory of Prof. Sadaharu Nakazawa
Memories of Prof Sadaharu Nakazawa	Yoshiharu Yasuda
Articles
On subgroups of the additive relation with or without infinity	Kentaro Murata
Lectures
Traditional Japanese Mathematics (Wasan) Part VI	HinotoYonemitsu
A study of a group(5) 　The dodecahedral group	Yasuo Matsuda
Research
Squares of the directed polygon	Hiroshi Asami
On a novel way to factor quadratic polynomials	Masataka Kaname
From finity to infinity (6)	Mitsuhiro Kotani
On the Tarner lines and Seimiya lines(13)	Toshiyuki Kinoshita
On some generalizations of a limit of a sequence	Mitsuru Kumano
Basic problems on the combination	Akira Sawanobori
On the repeatin decimal and Artin's primitive root conjecture	Minoru Shimobayashiyama
On some generalizations of Lerch's theorem	Mitsuaki Takabayashi
On the equation 52x-8・3y＝409	Mitsuaki Takabayashi
On the calculation of the length of the bisection of the angle by the bounded method	Toshitaka Toyonari
On some limit values of some simple sequences	Masakazu Nihei
An introduction of some classical entrance examination formathematics	Juichi Harada
Li Shanlan's Summation Formula	Yasuo Fujii
Binary expansions of and ─A simple　method　by　paperfolding	Hiromi Honda
Proofs Without Words	Taichi Maekawa
Calculation of The volume of some solids	Yasuo Matsuda
Problems From Prof. Willie Yong(Singapore) part1	Hinoto Yonemitsu
Education in Mathematics
On the problem and a solution of Koichi's question on a 2*2 matrix	Masataka Kaname
An open mathematics class for the high school students of the art course	Toshihiko Miyaji
On some suggestions for the new mathematics education	Yasuo Matsuda
Solutions to the problems
No.421	Ikuo Tokioka
No.422	Yasuo Matsuda
Problems
No.431,432
Echo
From the directors

VOL.45　October 2002
Preface
Remember our original intention	Hiroshi Kotera
Articles
Kawasaki Dayori - On some examples of geometric fallacies and solution to the problems proposed by Mr.Pompe	Toshio Seimiya 3
Lectures
Traditional Japanese Mathematics `Wasan` Part VIII	Hinoto Yonemitsu
Serialization
A certain historical analysis on the novel Uncle Petros and Goldbach's Conjecture by Apotolos Doxiadis II	Kouji Osima
Research
On the Tarner lines and Seimiya lines(15)	Toshiyuki Kinoshita
Another serendipity	Akira Sawanobori
From finity to infinity (8)	Mitsuhiro Kotani
On some generallizations of a question coming from the symmetric expression	Mitsuru Kumano
On the rectangles and the continued fractions	Minoru Shimobayashiyama
On some generalization of the functional equation f((x+y)/2)=(f(x)+f(y)/2	Masakazu Nihei
An introduction of some classical entrance examinations for mathematics(3)	Juichi Harada
On Diophantine triangles	Nana Hommi, Kenzi Odani
On some applications of the determinant of Vandermonde and the function φ(x) which causes chaos	Koichiro Matsunobu
On some characterics of a cardioid	Yasuo Matsuda
What I think whenI make mathematics problems	Nobutaka Shigeki
On Willie Yong's problems, p.99, issue 44 of SHOTOH SUGAKU	Taichi Maekawa
Other solutions from］readers, Mr. Maekawa and Mr. Yatsuhashi, to problem that was in book number 44	Hinoto Yonemitsu
On Willie Yong's problems, p.100, issue 44 of SHOTOHSUGAKU	Shozo Serizawa
Education in Mathematics
On the development of teaching contents in mathematics aiming at the expansion of problems	Toshihiko Miyaji
Some mathematical problems examined for my school students	Yasuo Matsuda
Seeking the information
How to construct the pentagon	Yasuo Matsuda
Solutions to the problems
No.441	Katsuhiko Shiozaki
No.442	Yasuo Matsuda
Problems No.451,452
Echo, From the directors

VOL.46　April 2003
Preface
Something of a good story on SHOTOH SUGAKU	Taichi Maekawa
Articles
Kawasaki Dayori - On some examples of geometric fallacies and solution to a problem proposed by Mr. Pompe	Toshio Seimiya
Lectures
Traditional Japanese Mathematics 'Wasan' Part (9)	Hinoto Yonemitsu
Serialization
A certain historical analysis on the novel Uncle Petros and Goldbach's Conjecture by Apotolos Doxiadis (3)	Kouji Osima
Research
On a construction of the pentagon by origami	Toshikazu Kawasaki
On the extended theorem of Symson's line and the theorem of feuerbach (16)	Toshiyuki Kinoshita
The revision of the proof of Kordemski's conjecture	Mitsuru Kumano
On a calculation of the square of cycloid	Nobutaka Shigeki
Lucky resolution of Diophantine equations y2＝x2+ｍ	Minoru Shimobayashiyama
Volume of the intersection of hemisphere x2+y2+z2＝a2 and the cylinder x2-ax+y2＝0	Hisao Suzuki
On a puzzle	Yukimasa Hiroshima
On the second factorial	Mitsuaki Takabayashi
Trocoid as an object for 3-dimensional graphics of a herix	Kiichiro Tanaka
A proof of Napoleon's theorem by complex numbers	Kiichiro Tanaka
On a solution and generalization of Shigeki's question	Kiichiro Tanaka
On the rainbow and a ring around the sun	Koichi Tanaka
On a simple calculation of a eigenvector	Masakazu Nihei
Proofs without words	Takashi Nohki
Proofs without words - Heron's theorem	Taichi Maekawa
On Oohara's theorem	Taichi Maekawa
From finity to infinity (9)	Mitsuhiro Kotani
How to look at the eccentricity	Yasuo Matsuda
100 Pythagorean points on thecircle (x-L)2+(y-L)2＝r2	Minoru Morikawa
Education in Mathematics
When do we need π	Mitsuhiro Kotani
On the word in mathematics	Yasuo Matsuda
On the role of the teacher in the study of mathematics and in the classroom	Toshihiko Miyaji
Solutions to the problems
No.451	Katsuhiko Shiozaki
No.452	Yasuo Matsuda
Problems
No.461,462,463

vol.47　August 2003
Preface
Mathematics in my life	Masanori Kouzaki
Lectures
Traditional Japanese Mathematics `Wasan` Part 10	Hinoto Yonemitsu
Serialization
A certain historical analysis oｆ the novel Uncle Petros and Goldbach's Conjecture by Apotolos Doxiadis (4)	Kouji Osima
Research
A Note on Calculation of	Mikio Otsuka
On the extended thorem of Symson's line and the theorem of Feuerbach (17)	Toshiyuki Kinoshita
On the condition that the value of the solid of revolution has an integer value	Mitsuhiro Kumano
On the extension of an inequality according to the triangle	Mitsuhiro Kumano
From finity to infinity (10)	Mitsuhiro Kotani
Lucky resolution of Diophantine equation y2＝x2+m (II)	Minoru Shimobayashiyama
Some solutions using the discriminasnt ofthe quadratic equation	Nobutaka Shigeki
On the value of Xa+ax	Mitsuaki Takabayashi
On the value of (2)	Kaoru Takamura
On trisection of a 90 degree angle	Kiichiro Tanaka
Construction of two dimensional point sequence of type number by use of compass only	Koichi Tanaka
Oｎ the extension of Pythagorus' theorem shown by figures	Tonkoh
Why is the natural quality expressed by a real number?	Motohiro Fujigaki
On the curve of an astroid	Yasuo Matsuda
How to decide if a number is a multiple of some numeber	Yasuo Matsuda
Various points of view to the mathematics problems of the entrance examination of theuniversity	Koichiro Matsunobu
On the period points of the tent mapping	Koichiro Matsunobu
On the extensions of Morley's theorem	Seiichi Manyama
Education in Mathematics
When we need π ? (3)	Mitsuhiro Kotani
On some fomulas of the differentiation and the integration of quadratic function	Yasuo Matsuda
How 'sequences' have been learned	Toshihiko Miyaji
Solutions to the problems
No.46-1	Ikuo Kokioka
No.46-2	Yuta Nishikawa, Katsuhiko Shiozaki
No.46-3	Hiroshi Kotera
Problems
No.47-1,47-2,47-3
Echo, From the directors