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二乗の和が変わらない|楕円の共役直径とアポロニウスの定理

504 Gateway Time-out

504 Gateway Time-out


nginx/1.24.0 (Ubuntu)
傾き $m$ の平行な弦の中点は 1 本の直線に並び、その傾きは $mm' = -b^2/a^2$ を満たします。この組が共役直径。半径の 2 乗を足すと $a^2 + b^2$ で一定になり、2 半径が作る平行四辺形の面積は $ab$ のまま動きません。円で直交していた 2 本が、縦につぶした先で残した関係です。長さの等しい共役直径が囲む長方形の対角線を向くこと、2 つの量から $a$ と $b$ を復元できることまで。