Journal of elementary mathematics─SHOTOH SUGAKU─

VOL.48　January 2004
Preface
Teaching mathematics for the sake of students	Toshihiko Miyaji
Lectures
Traditional Japanese Mathematics 'Wasan' Part XI	Hinoto Yonemitsu
Serialization
A certain historical analysis oｆ the novel Uncle Petros and Goldbach's Conjecture by Apotolos Doxiadis (V)	Kouji Osima
Research
A note on the calculation of	Mikio Otsuka
On yhe calculation of the real solutions of Fermat's equation x3+y3＝z3	Satoru Origasa
On the extension of an inequality according to the triangle (continuation)	Mitsuhiro Kumano
On some generalization of Nihei's functional equation	Mitsuhiro Kumano
Similar problems and their different solutions	Nobutaka Shigeki
Lucky resolution of Diophantine equation (III)	Minoru Shimobayashiyama
On a novel way to factor quadratic polynomials	Masataka Kaname
Proof of some theorems using Garfield's trapezoid	Shigeshi Shirasaka
On some inequalities lurking the trapezoids	Shigeshi Shirasaka
Gauss's method to solve equation x2≡A(mod m) (I)	Shozo Serizawa
On Newton's theorem	Kaoru Takamura
Number π takes a constant value independently of the diameter of the circle. Is this a theorem to be proved or not?	Kiichiro Tanaka
Construction of the inequality	Masakazu Nihei
Marriage theorem and its application	Masakazu Nihei
A 'proof' of additive exchange law about natural quantity	Motohiro Fujigaki
Learning from a Wasan problem	Taichi Maerkawa
On the calculation of the value of the exponent and the logarithm	Yasuo Matsuda
How to see the image of the linear transformation	Yasuo Matsuda
On the extensions of Morley's theorem(2)	Seiichi Manyama
Another circle of Takada	Seiichi Manyama
Education in Mathematics
The revival of the traditional spirit for the value of ζ(2n)	Mitsuhiro Kotani
Regarding the quadratic function as geometric material	Hisao Todoroki
Research of the cubic function	Yasuo Matsuda
Solutions to the problems
No.471	Katsuhiko Shiozaki
No.472	Hirnoto Yonemitsu
Problems
No.481,482, 483
Echo
From the directors

vol.50　October　 2004
Preface
On my career in the research of elementary mathematics	Yasuo Matsudai
Lectures
Traditional Japanese Mathematics `Wasan` Part 13	HinotoYonemitsu
Research
sin20°+sin40°=sin80 °	Hirohumi Uda
On the convex function and its applications	Mitsuhiro Kumano
On the generalization of the nonlinear reccurence formula	Mitsuhiro Kumano
From finity to infinity (11)	Mitsuhiro Kotani
Some proofs of the existence of the orthocenter	Nobutaka Shigeki
On some problems on d(n)	Mitsuaki Takabayashi
Irrationality of an infinite decimal	Shinsei Tazawa, Yasuo Ohno
Various calculations of the volume of the cone	Mitsuharu Nagano
Elementary calculations of δ(2）,δ(4）	Shin-ichi Nisimura
	Seiichi Manyama
Soddy's Theorem	Harushi Hiraiwa
Finding a mathematics problem with enjoyment	Taichi Maerkawa
How ot solve a Wasan problem - A proof Without Words	Taichi Maekawa
On various bases	Yasuo Matsuda
On generalizations of Gua's theorem	Akira Minami
On Bernoulli's number, Takakazu Seki's Torisu and Yoshisuke Matsunaga's Taiinritu	Hinoto Yonemitsu
Education in Mathematics
On the education of integrals independento of differential calculus	Mitsuhiro Kotani
Teaching to find the background of figures, not auxiliary lines	Hiroyasu Yamazaki
Investigation of golden numbr(2)	Toshihiko Miyaji
Solution to the problem
No.491	Harushi Hiraiwa
No.492	Katsuhiko Shiozaki
No.493	Yasuo Matsuda
Problems
No.501,502
Echo, From the directors

vol.51　March　 2005
Preface
Some happenings before I began to love mathematics	Shigeshi Shirasaka
Lectures
Traditional Japanese Mathematics `Wasan` Part 14	HinotoYonemitsu
Research
Two squares which jointly own a top	Hiroshi Asami
On the extended theorem of Symson's line and the theorem of Feuerbach (19)	Toshiyuki Kinoshita
On every other segment in the circle	Mitsuhiro Kumano
From finity to infinity (12)	Mitsuhiro Kotani
The revival of the traditional spirits for the value of ζ(2) (3)	Mitsuhiro Kotani
Inequalities making use of a matrix	Nobutaka Shigeki
Difference equation and Laplace transform	Shozo Sereizawa
On some problems on d(n) (2)	Mitsuaki Takabayashi
Evolution	Kaoru Takamura
An upper bound	Masakazu Nihei
Repeating decimal reprensented by the recurrence formula	Yasuo Matsuda
Education in Mathematics
An introduction of the twenty-year records of Hokkaido high school mathematics contest	Yasuo Matsuda
An introduction of the 55th seminar of academic and career couseling of the high school	Kazumasa Ikeda
Topics of the mathematical history which are usable for the school lessons	Tonkoh
On a relation between ｔｈｅequation tanα＝tan（β＋γ） are the Fibonacci number	Toshio Nagata
How to learn Fibonacci sequence with our students	Toshihiko Miyaji
The theorem of giving and taking	Yasuo Matsuda
Solution to the problem
No.501	Seiichi Mannyama
No.502	Toshi Sugiyama
Problems
No.511,512,513
Echo, From the directors

vol.52　August　 2005
Preface
On the mathematical researches discovering some theorems and problems	Toshio Seimiya
Lectures
Traditional Japanese Mathematics `Wasan` Part 15	Hinoto Yonemitsu
Research
On the extended theorem of Symson's line and the theorem of Feuerbach (20)	Toshiyuki Kinoshita
On the estimation forthepartial sum of the harmonic series	Kennichi Kizima
The volume of the common parts of two or three cylinders which cross each other orthogonally	Nobutaka Shigeki
On great or small comaparisons and	Mitsuhiro Kumano
On the indeterminate equation	Minoru Shimobayashiyama
Can we express the sum of factorials in the k-th power of an integer ?	Mitsuaki Takabayashi
Evolution	Kaoru Takamura
Reading "An upper bound "	Takashi Hokutoh
On the open problem and the article about the Fibonacci series and the repeating decimal reprented in NO.51	Teruo Nishiyama
How to divide a length into an odd number ofsome number	Momoyo Fukuhara
The cake point	Yasuo Matsuda
The decision whether a number is a multiple of some number	Yasuo Matsuda
A new method of exacting the square root	Yasuo Matsuda
Education in Mathematics
Various questions from various students	Kazumasa Ikeda
The problem " how many mathods are there to put 8 balls in 3 boxes"	Yasuo Matsuda
On the lessons which we should pay attention to in the development of mathematics problems	Toshihiko Miyaji
On Hayashi and Kariya's book The equationr	Toshihiko Miyaji
Solution to the problem
No.511	Toshi Sugiyama
No.512	Katsuhiko Shiozaki
No.513	Yasuo Matsuda
Problems
No.521,522
Echo, From the directors