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HARUHI

Wasan (Japanese Mathematics)
Sites



Wikipedia
  EN
Japanese Mathematics   Sangaku (Calculation Tablet)   Seki Takakazu

National Diet Library
  EN  JP
  Japanese Mathrmatics in the Edo Period
  Introduction
Part 1. History of Wasan
  Chapter 1. Early Edo Period
  Chapter 2. Seki Takakazu
  Chapter 3. Master Institution - Wasan as a Hobby
  Chapter 4. Wasan as a Practical Science
  Chapter 5. Introduction of Western Mathematics
  Chapter 6. Epilogue: End of Wasan
Columns
  Influences from Chinese Mathematics
  Chinese Remainder Theorem
  Congruence Notation and Remainder Theorem
  Pi (Ratio of the Circumference of a Circle to Its Diameter)
  Why does π/4=tan-11=4tan-1(1/5)-tan-1(1/239) hold true?
  Sangaku (Mathematical Tablet)
  Pythagorean Theorem
  Survey Methods
  Survey Instruments and Companion Set
  Heron’s Formula
  Trigonometric Tables
  :Lengths of Chords for Sum and Remainder of Angles
  Logarithm Table
  Transcendental Equation
Part 2. Wasan Collection of the National Diet Library
  Wasan Materials Housed in Japan
  Wasan Materials Housed by the National Diet Library
  Wasan Library
  1.Jinkoki
  2.Seki Takakazu & the Seki School
  3.Development of Wasan
  4. Wasan related to Practical Science and Surveying
  5. Introducing Overseas Knowledge

Wasan no Yakata (Sangaku)
  EN  JP
  How to use SANGI
 

Cut The Knot
  EN
  Sangaku: Reflections on the Phenomenon   Critique of My View and a Response
  1 + 27 = 12 + 16 Sangaku   3-4-5 Triangle by a Kid   7 = 2 + 5 Sangaku
  A 49th Degree Challenge   A Geometric Mean Sangaku   A Hard but Important Sangaku
  A Restored Sangaku Problem :   A better solution to a difficult sangaku problem
  A Trigonometric Solution to a Difficult Sangaku Problem   A Sangaku: Two Unrelated Circles
  A Sangaku by a Teen   A Sangaku Follow-Up on an Archimedes' Lemma
  A Sangaku with an Egyptian Attachment   A Sangaku with Many Circles and Some
  A Sushi Morsel   An Old Japanese Theorem   Archimedes Twins in the Edo Period
  Arithmetic Mean Sangaku   Bottema Shatters Japan's Seclusion
  Chain of Circles on a Chord   Circles and Semicircles in Rectangle
  Circles in a Circular Segment   Circles Lined on the Legs of a Right Triangle
  Equal Incircles Theorem :   Equal Incircle Theorem, Angela Drei's Proof
  Equilateral Triangle, Straight Line and Tangent Circles
  Equilateral Triangles and Incircles in a Square   Five Incircles in a Square
  Four Hinged Squares   Four Incircles in Equilateral Triangle :
  Four Incircles in an Equilateral Triangle, a Sangaku   Gion Shrine Problem
  Harmonic Mean Sangaku   Heron's Problem   In the Wasan Spirit
  Incenters in Cyclic Quadrilateral   Japanese Art and Mathematics
  Malfatti's Problem   Maximal Properties of the Pythagorean Relation
  Neuberg Sangaku   Out of Pentagon Sangaku   Peacock Tail Sangaku
  Pentagon Proportions Sangaku   Proportions in Square   Pappus' Sangaku
  Pythagoras and Vecten Break Japan's Isolation   Radius of a Circle by Paper Folding
  Review of Sacred Mathematics   Sangaku à la V. Thebault
  Sangaku and The Egyptian Triangle   Sangaku in a Square
  Sangaku Iterations, Is it Wasan?   Sangaku with 8 Circles
  Sangaku with Angle between a Tangent and a Chord   Sangaku with Quadratic Optimization
  Sangaku with Three Mixtilinear Circles   Sangaku with Versines
  Sangakus with a Mixtilinear Circle   Sequences of Touching Circles   Square and Circle in a Gothic Cupola
  Tangent Circles and an Isosceles Triangle   The Squinting Eyes Theorem
  Three Incircles In a Right Triangle   Three Squares and Two Ellipses
  Three Tangent Circles Sangaku   Triangles, Squares and Areas from Temple Geometry
  Two Arbelos, Two Chains   Two Circles in an Angle
  Two Sangaku with Equal Incircles Two Sangaku with Equal Incircles

Books
Sacred Mathematics: Japanese Temple Geometry 2008:EN-PDF Drive
A History of Japanese Mathematics 2012:EN-PDF Drive
Seki, Founder of Modern Mathematics in Japan: A Commemoration on His 2013:EN-PDF Drive
The Arithmetic of the Edo Period in Japan 1999:EN-PDF Liblary
Sangaku: le mystère des énigmes géométriques japonaises 2008:FR-PDF Drive

 
 
 
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