Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 306 стр.

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                                                    ρ ( M , F1 )                                   →
                                     °                       = ε ⇒ ∀M , M ∈ L ; ° | F2 B | = p ; 
                                                    ρ ( M , D1 )
                                     
                                     ° ∠α = ∠β 
              
              
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                                             r1 = ( x − aε ) 2 + y 2 ; r2 = ( x + aε ) 2 + y 2 
          

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                   iã« i = 1,2 ¹ºã‚ÈËä
                   
                                                                                                  b2
                                             ri = ( x ± aε ) 2 + y 2 = ( x ± aε ) 2 +                 2
                                                                                                          (a 2 − x 2 ) =
                                                                     a                        

                                                = ( x ± aε ) 2 + (1 − ε 2 )(a 2 − x 2 ) =
          
                                                = x 2 ± 2 xaε + a 2ε 2 + a 2 − a 2ε 2 − x 2 + x 2ε 2 =
                                                                                                             
                                                = a ± 2 xaε + x ε =| a ± ε x | .
                                                       2                 2 2

          
          
                   sº ¹º°}ºã }‚ ã« ҹ˯­ºã© | x | ≥ a  Ò ε > 1  ˆº ã« ¹¯Èmº® mˈ
                               →                                   →
                   mÒ r1 =| F1 A | = − a + ε x        ; r2 =| F2 A | = a + ε x  È ã« ãËmº®  °ººˆmˈ°ˆmËÓÓº
                           →                                 →
                    r1 =| F1 A | = a − ε x ; r2 =| F2 A | = − a − ε x |ˆ}‚ÈÒ°ãË‚ˈ°Ò°
          
          
          v¹¯ÈmËãÒmº°ˆ °º}ÈÎ҈Ë°È亰ˆº«ˆËã Óº
          
          
                                     →       b                b             b
          °sÈ}ºÓË | F2 B| =             a 2 ε 2 − a 2 = a ε 2 − 1 = b = p 
                                             a                a             a
          
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