344 Kaji, 247 Kakki Sanpo¯ (Concise Mathematics) (Shino), 193, 244 Kakuda city, 118 Kaku Ho¯ (Angles of Regular Polygons) (Seki), 73 Kakuyu, 243 Kamakura period, 13 Kambei Mori, 14n4 kami (Shinto gods), 8 Kamiya Norizane, 264 Kamo no Chomei, 13 Kanabe, 254 Kanagawa prefecture, 204–5 Kanami Kiyotsugu, 13 Kanbe, 255 Kanbun, xvii, 9 Kanjya Otogi Zo¯shi (Collection of Interesting Results in Mathematics) (Nakane), 76 Kanzeon temple, 95 Al- Karaji, 42 Kashii shrine, 261 Kashiwano Tsunetada, 263–64, 281 Katayamahiko shrine, 145; divided areas and, 103–7, 113–14, inscribed circles and, 94–95, 100, 110, 147, 152, 156; tangents and 95 Katori Zentaro¯, 256, 278–80 Kato Yoshiaki, 198 Katsurahama shrine, 93 Katsuyo¯ Sanpo¯ (Collection of Important Mathematical Results) (Araki), 16, 69, 73 Kawahara Taishi temple, 204 Kawai Sawame, 196 Kawakita Tomochika, 284 Kawano Michimuku, 150, 168 Kawasaki city, 204 Keibi Sanpo¯ (Hanging Mathematics) (Horiiki), 169 Kenki Sanpo¯ (Study Mathematics Profoundly) (Takebe), 74–75 Kibitsu shrine, 259 Ki- Miidera town, 257 Kimura Sadamasa, 204, 235 kirishitans (Christians), 4 kissing circles, 285–91 “Kiss Precise, The” (Soddy), 283, 287–88 Kitagawa Mo¯ko, 31, 139, 194, 212 Kitahara Isao, 121 Kitamuki Kannon temple, 89, 161 Kitamura, 247
Index
Kitani Tadahide, 136, 261 Kitano shrine, 111 Kitanotenman shrine, 264 Kitaro¯, 263 Kiyomizu temple, 265 Kobata Atsukuni, 95 Kobayashi, 247, 249 Kobayashi Nobutomo, 101, 154 Kobayashi Syouta, 96 Kobayashi Tadayoshi, 159 Kofukuji temple, 256 Koide Kanemasa, 306 Koishikawa, 206 Kojima Yo¯kichi, 118 Kokon Sankam (Mathematics, Past and Present) (Uchida), 83, 107, 204 Kokon Sanpo¯ki (Old and New Mathematics) (Sawaguchi), 69 Komoro city, 159 Konpira shrine, 159 Koreans, 5, 7, 21, 261n6 Kotohira shrine, 260 Koufu clan, 68 Kowa Seki, xviii, 16n7 Koyama Kaname, 256 Ko¯zagun, 205 KuiBen diuXiang SiYan ZaZi (Leading Book of Four Words in Verse), 30 Kumano shrine, 109, 116, 247, 284 Kuno Hirotomo, 160 Kurasako Kannon temple, 92 Kurihara, 263 Kurobe river, 252 Kurume clan, 80, 261 Kusaka Makoto, 79, 194 Kyokusu Binran (Survey of Maxima and Minima Problems) (Takeda), 257 Kyto, 12–15, 108, 255, 264–65 Kyo¯to Gion Daito¯ jutsu (The Solution to the Gion Shrine Problem) (Ajima), 78 “Kyuka Sankei” (Nine Flowers Mathematics) (Kitagawa), 194 Kyushu ¯, 4 Lagrange, Joseph, 79 Lake Biwako, 255, 263 lateral thinking, 146 law of cosines, xxii, 131, 225, 268, 284 law of sines, 284 Leibnitz, Wilhelm Gottfried, 22, 73 Li Di, 30n2 limiting points, 326–28
literature, 4, 7, 13 Liu Hsin, 40 Liu Hui, 32, 40 Lob, H., 293–94 logarithms, 24, 79n8, 163 Los, G. A., 294 magic squares, 30, 42, 76, 78 magic wheels, 76 Mahazawa Yasumitsu, 152 Makota, 310 Malfatti, Gian Francesco, 79, 293 Malfatti problem, 22, 79, 196, 293–95 Maruyama Ryoukan, 192 Master of Mathematics licenses, 20–21 Masuda Koujirou, 253, 275 Mathematica school, 83 mathematics: age of arithmetic and, 10–14; ascendance of traditional Japanese, 14–21; calculating sticks and, 11–12; Chinese, xvi, 4–5, 10–11, 24, 27–57, 61, 91; classical, 283; decline of traditional Japanese, 21–25; Edo period and, 59–88; Greek, 2, 10, 16n6, 22, 283; immutability of, 2; importance of, 263–64; jyuku schools and, 19–21, 24; pilgrimages and, 244; samurai and, ix; stylistic form and, 7–8; Yamaguchi travel diary and, 243–66. See also wasan (Japa nese mathematics) Mathematics of Shrines and Temples (Fujita), 24 Mathesis journal, 298 Matsumiya, 277–78 Matsumoto Einosuke, 263 Matsunaga Yoshisuke, 24, 75, 305 Matsuoka Makoto, 200, 207 Matumiya Kiheiji, 255 Matushiro, 247 maxima-minima problems; differentiation and, 301–3; Enri and, 301–11 Meiji Fundamental Code, 24–25 Meiji Sho¯gaku Jinko¯- ki (Jinko¯- ki of the Meiji Era) (Fukuda), 170 Meiseirinji sangaku, 97, 106, 196, 199 Mie prefecture, 193 Miidera temple, 263–64 Minagawa Eisai, 251 Minami Koushin, 168