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算道 − 古代・中世日本の数学 -
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Yoriyuki Yamagata
August 04, 2018
Science
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520
算道 − 古代・中世日本の数学 -
Yoriyuki Yamagata
August 04, 2018
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Transcript
ࢉಓ ݹɾதੈຊͷֶ ࢁܗ↳೭ ୈճֶ༵ؔ༑ͷձ
ຊݹయจֶఠूӉ࣏रҨޠרୈे࢛ ߴ֊ढ़ฏ͕ఋೖಓࢉज़ͷࣄ ͜ͷࢉಓʹපͷਓΛ࣏͢ज़͋Δɻ·ͨɺපΜͰ ͳ͘ͱ͍ɺౄ·͍͠ͱࢥ͏ऀΛͨͪͲ͜Ζʹࡴ͢ ज़ͳͲ͋Δʜ ਓΛஔ͖ࡴ͠ɺஔ͖ੜ͔͢ज़͕͋Δͱݴ͍͕ͬͯͨɺ ͦΕ͍͑ͯͨΒେมͳ͜ͱʹͳͬͨͩΖ͏ͱਓ ޠͬͨɻࢉͷಓͱڪΖ͍͠ͷͰ͋Δͱɻ
ݹɾதੈຊͷֶ ্ݹɿ͠ࢉ͘Β͍ʁ ྩ੍ࠃՈͷ࣌ɿࢉಓͷཱ w େֶྈͰதࠃֶͷڭҭ͕࢝·Δࢉಓͷ࢝·Γ ԦேࠃՈͷ࣌ɿਰୀͷ։࢝ w
ՈֶԽ ࢘ෛ੍ w ढज़ͱͷ݁ͼ͖ͭɺ༡ٔੑ தੈɿਰୀ͠·ͨ͠
େֶྈͰͷࢉಓ ໌ܦಓ ໌๏ಓ لಓ ࢉಓ ठֶ ֶੜ໊ ໌ܦത࢜ ਖ਼ҐԼ ๏ֶ
ֶੜ໊ ֶത࢜ ਖ਼ࣣҐԼ จষത࢜ ਖ਼ࣣҐԼ ˣ ैޒҐԼ ྺ࢙ɾจֶ ֶੜ໊ ֶ ֶੜ໊ ˣ ໊ ࢉത࢜ ैࣣҐ্
ࢉಓͷڭҭ՝ఔ ࢉੜ ໊ ࢉಓӃʹد॓ ̓ؒͷڭҭظؒ ไࢼ ࢉࢣ ֤छி ࢉಘۀ࢜ ໊
ࢉത࢜
ࢉಓͷڭҭ༰ w ݹయɿଙࢠࢉܦɾষࢉज़ w ߴֶɿষ ʁ ɾ௲ज़ ٻੵ๏ ɾࡾ։ॏࠩ ڃల։
w Ԡ༻ֶɿޒࢉܦɾ࢘ʢߦ͚ʣɺւౡࢉܦʢଌ ྔʣɺपᱦࢉܦʢྐྵֶɾఱจֶʣ
খ௬ࢯɾࡾળࢯ w ࢘ෛ੍ɿಛఆͷՈ͕͋Δ৬৬ۀΛੈऻɾಠ͢ Δ͜ͱɻฏ҆࣌தظ͔ΒݱΕΔ w ࢉಓͰখ௬ࢯɾࡾળࢯ w খ௬ࢯ࣮༻ֶΛɺࡾળࢯߴֶΛड͚ܧ͍ͩ ി
w தੈҎޙࢉՈͱͯ͠ேఊɾນͰ׆༂ͨ͠
ฏ҆ޙظͷࢉಓ w ຊࠃݟࡏॻதࠃͷߴֶॻؚ͕·Ε͍ͯΔ w ɺେ͖ͳͷ͑ํɺஉঁఆɺੜࢮఆɺଋࢉ ʢࠩྻͷʣʁʮޱ༡ʯ w ޙࢠཱͯɾຐ๏ਞʢ伩தঞΕΜͪΎ͏͠ΐ͏ʣ
ࡾળҝ߁ w w ࢉത࢜ɺلಓʢྺ࢙ʣʹؔͯ͠ଟͷஶ࡞Λஶ͢ ே ܈ࡌɾঠதྐྵɾջதྐྵ w ྐྵ͓Αͼқʹؔ͢Δஶ࡞ʮࡾݩࢵ๏ʯ
ࢄҳ w ྐྵಓʢӄཅྈͷػؔʣͱͷ݄৯ʹؔ͢Δ૪ w ޙࢠཱͯɾະͷຐ๏ਞͷൃݟ·ͨهड़ ঠதྐྵ
ࢀߟจݙ <ॻ੶>ۙੈҎલͷຊͷࣾձͱֶࣾձมಈͷ؍͔Β Ҫ্จɺീઍग़൛ɺ <จ>ࢉത࢜ࡾળҝ߁ʹ͍ͭͯ ాथɺֶ࢙ݚڀ ϖʔδ ɺ <ΦϯϥΠϯࢿྉ>8JLJQFEJBʮࢉಓʯଞ <ΦϯϥΠϯࢿྉ>ຊݹయจֶఠू IUUQTXXXLPUFOOFUVKJZBLV