Analiticheskai︠a︡ Geometrīi︠a︡

Cover Analiticheskai︠a︡ Geometrīi︠a︡
Analiticheskai︠a︡ Geometrīi︠a︡
Somov, Iosif Ivanovich, 1815-1876
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01д1112:ес] Ьу Соо^к — 144 — Докажемъ сперва это свойство для эллипса, отнесеннаго къего осямъ: Пусть Р т Р' будутъ его фокусы, с эксцентрицитетъ и РМ =^ г радхусъ вектор'Б!, проведенный изъ фокуса Р (с, О) въ точку М (х, у). По формул* для квадрата разстояшя между двумя точками им^емъ г' = 2^ + (а, — 4' = 1/Ч- а^ - 2«г + с», а изъ уравнетя эллипса выводииъ следовательно, по исключеши у* изъ предыдущаго выражетя, получимъ . аГ Такъ какъ Ь* + с^ = а* и а* — Ь' = с*, то а потому Подразумевая подъ
... г абсолютную длину рад1уса вектора, надобно зд-Ьсь изъ двухъ знаковъ 11= взять тотъ, который даетъ формул* положительное значеше.

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