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P. 501

Ɍɚɜɪ ԕɢɦɚɧɵԙ (64-ɫɭɪɟɬ) ɰɟɧɬɪiɧ ɬɚɛɭ ԛɲiɧ ɨɫɵ ɩɚɪɚɝɪɚɮɬɚԑɵ (5.6)
ɮɨɪɦɭɥɚɥɚɪɞɵ ԕɨɥɞɚɧɚɦɵɡ:

¦¦yɨɪɬ yC                 S x1  Sk  Sɬ          0  13600       8,5 ɫɦ .
                           A    Ⱥɤ  Ⱥɬ        50 ˜ 8  20 ˜ 60

  Ʉɨɨɪɞɢɧɚɬɚɧɵԙ ɬɚԙɛɚɫɵ ɨԙ ɛɨɥɵɩ ɲɵԕɬɵ, ɞɟɦɟɤ ԕɢɦɚɧɵԙ ɫɚɥɦɚԕ ɰɟɧɬɪɿ
x1 ɨɫɿɧɟɧ ɠɨԑɚɪɵ ɨɪɧɚɥɚɫԕɚɧ (ɫɭɪɟɬɬɿ ΙɚɪɚΝɵɡ).

§3. Ԕɢɦɚɧɵԙ ɢɧɟɪɰɢɹ ɦɨɦɟɧɬɬɟɪɿ
Ԕɢɦɚɧɵԙ ɫɬɚɬɢɤɚɥɵԕ ɦɨɦɟɧɬɬɟɪiɧ ɚɧɵԕɬɚɣɬɵɧ ɢɧɬɟɝɪɚɥɞɚɪɞɚɧ ɛɚɫԕɚ,
ɬɚԑɵ ɞɚ ɛiɪɧɟɲɟ ɢɧɬɟɝɪɚɥɞɚɪɞɵ ԕɚɪɚɫɬɵɪɚɣɵԕ. Ⱥɬɚɩ ɚɣɬԕɚɧɞɚ,

³ ³ ³ ³J x y 2dȺ , J y x2dȺ , J U U 2dȺ , J xy xy dȺ . (5.7)
ȺȺ                                               Ⱥ               Ⱥ

ɂɧɬɟɝɪɚɥɞɚɪɞɵԙ ɚɥԑɚɲԕɵ ɟɤɟɭi ԕɢɦɚɧɵԙ ɨɫɶɬiɤ ɢɧɟɪɰɢɹ ɦɨɦɟɧɬɬɟɪi,
ԛɲiɧɲiɫi – ɩɨɥɹɪɥɵԕ ɢɧɟɪɰɢɹ ɦɨɦɟɧɬi, ɚɥ ɫɨԙԑɵɫɵ – ɰɟɧɬɪɞɟɧ ɬɟɩɤiɲ
ɢɧɟɪɰɢɹ ɦɨɦɟɧɬi ɞɟɩ ɚɬɚɥɚɞɵ. Ɉɥɚɪɞɵԙ ԧɥɲɟɦɞɟɪi – ɦɦ4, ɫɦ4, ɦ4. Ȼԝɥɚɪ ɞɚ

ԕɢɦɚɧɵԙ ɝɟɨɦɟɬɪɢɹɥɵԕ ɫɢɩɚɬɬɚɦɚɥɚɪɵ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ ɠԥɧɟ
ɤɨɨɪɞɢɧɚɬɚɥɚɪ ɠԛɣɟɫiɧɟ ɬԥɭɟɥɞi ɛɨɥɚɞɵ. Ɉɫɶɬɟɪɞiԙ ɠɚɡɵԕɬɵԕɬɚ
ɠɵɥɠɭɥɚɪɵɧɚ ɛɚɣɥɚɧɵɫɬɵ, ɢɧɟɪɰɢɹ ɦɨɦɟɧɬɬɟɪiɧiԙ ԕɚɥɚɣ ԧɡɝɟɪɟɬiɧiɧ
ɡɟɪɬɬɟɭ ԛɲiɧ 65-ɫɭɪɟɬɤɟ ɤԧԙiɥ ɚɭɞɚɪɚɣɵԕ. Ɂɟɪɬɬɟɥiɩ ɨɬɵɪԑɚɧ ԕɢɦɚɧɵԙ
x1o1y1 ɠԛɣɟɫiɧɞɟɝi ɢɧɟɪɰɢɹ ɦɨɦɟɧɬɬɟɪi ɛɟɥɝiɥi ɛɨɥɫɵɧ.

³J x1 y12dȺ,                    ³J y1 x12dȺ ,           ³J x1y1 x1 y1dȺ . (5.8)
       ȺȺ                                                        Ⱥ

ȿɧɞi ɛԝɥ ɝɟɨɦɟɬɪɢɹɥɵԕ ɫɢɩɚɬɬɚɦɚɥɚɪɞɵԙ x1o1y1 ɠԛɣɟɫiɧɟ ɩɚɪɚɥɥɟɥɶ
ɛɨɥɵɩ ɨɪɧɚɥɚɫԕɚɧ x2o2y2 ɠԛɣɟɫiɧɞɟɝi ɦԥɧɞɟɪiɧ ɬɚɛɚɣɵԕ:

³J x2  y  2  dȺ,                ³J y2  x  2  dȺ  ,  ³J x2 y2     x2 y2dȺ .  (5.9)
          2                               2

Ⱥ ȺȺ

   Ⱥɬɚɥԑɚɧ ɫɭɪɟɬɬɟɧ y2 y1  c , x2 x1  a .
   Ȼԝɥ ɲɚɦɚɥɚɪɞɵ ԛɲiɧɲɿ ɢɧɬɟɝɪɚɥɞɚɪԑɚ ԕɨɣɵɩ, ɟɤiɧɲi ɢɧɬɟɝɪɚɥɞɚɪ ɚɪԕɵɥɵ
ԧɪɧɟɤɬɟɣɦiɡ. ɋɨɧɞɚ:

                          J x2 J x1  2cSx1  c2 ˜ Ⱥ ,

                          J x2 J y1  2aSy1  a2 ˜ Ⱥ ,                      (5.10)

                  J x2y2 J x1y1  aSx1  cSy1  a ˜ c ˜ Ⱥ .

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