Page 137 - index

Ʌɟɡɞɿɤ ɛԝɪɵɲɬɵԕ ɠɵɥɞɚɦɞɵԕ ɩɟɧ ɥɟɡɞɿɤ ɛԝɪɵɲɬɵԕ ԛɞɟɭ ɛɿɪ ԑɚɧɚ
ԕɨɡԑɚɥɦɚɣɬɵɧ ɧԛɤɬɟɫɿ ɛɚɪ ԕɚɬɬɵ ɞɟɧɟɧɿԙ ɤɢɧɟɦɚɬɢɤɚɥɵԕ ɤԛɣɿɧ ɫɢɩɚɬɬɚɣɬɵɧ
ɧɟɝɿɡɝɿ ɲɚɦɚɥɚɪ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.

§4. ɋɮɟɪɚɥɵԕ ԕɨɡԑɚɥɵɫɬɚԑɵ ԕɚɬɬɵ ɞɟɧɟ ɧԛɤɬɟɥɟɪɿɧɿԙ ɠɵɥɞɚɦɞɵԑɵ
Ԕɚɬɬɵ ɞɟɧɟɧɿԙ ɫɮɟɪɚɥɵԕ ԕɨɡԑɚɥɵɫɵ ɭɚԕɵɬɬɵԙ ԥɪ ɫԥɬɿɧɞɟ, OP ɥɟɡɞɿɤ ɨɫɿɧ

o

Z - ɥɟɡɞɿɤ ɛԝɪɵɲɬɵԕ ɠɵɥɞɚɦɞɵԑɵɦɟɧ ɚɣɧɚɥɭ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ, ɫɨɧɞɵԕɬɚɧ
ɨɧɵԙ ɤɟɡ ɤɟɥɝɟɧ M (x, y, z) ɧԛɤɬɟɫɿɧɿԙ (48-ɫɭɪɟɬ) ɠɵɥɞɚɦɞɵԑɵ

o oo (63)

ɮɨɪɦɭɥɚɫɵɦɟɧ ɚɧɵԕɬɚɥɚɞɵ. v Zu r

o

Ȼԝɥ ɮɨɪɦɭɥɚɞɚԑɵ r – ɧԛɤɬɟɧɿԙ ɪɚɞɢɭɫ-ɜɟɤɬɨɪɵ.
M (x, y, z) ɧԛɤɬɟɫɿɧɿԙ ɠɵɥɞɚɦɞɵԕ ɦɨɞɭɥɿɧɿԙ ɮɨɪɦɭɥɚɫɵ:

v Z˜h, (64)

ɛԝɥ ɮɨɪɦɭɥɚɞɚԑɵ h – M (x, y, z) ɧԛɤɬɟɫɿɧɟɧ ɚɣɧɚɥɭɞɵԙ ɥɟɡɞɿɤ ɨɫɿɧɟɧ

M (x, y, z) ɧԛɤɬɟɫɿɧɟ ɞɟɣɿɧɝɿ ɟԙ ɠɚԕɵɧ ɚɪɚԕɚɲɵԕɬɵԕ.

48-ɫɭɪɟɬ

M (x, y, z) ɧԛɤɬɟɫɿɧɿԙ ɠɵɥɞɚɦɞɵԑɵɧɵԙ ɩɪɨɟɤɰɢɹɥɚɪɵ, ԕɨɡԑɚɥɦɚɣɬɵɧ
ɤɨɨɪɞɢɧɚɬɬɚɪ ɨɫɶɬɟɪɿɧɟ 63-ɬɟΝɞɿɤɬɿΝ ɟɤɿ ɠɚԑɵɧ ɩɪɨɟɤɰɢɹɥɚɭ ɚɪԕɵɥɵ
ɬɚɛɵɥɚɞɵ.

Ⱦɟɦɟɤ,

ooo

i, j,k

o oo

v Z & r Zx,Zy,Zz .
x, y, z

ɋɨԙԑɵ ɮɨɪɦɭɥɚɞɚԑɵ x, y, z - M (x, y, z) ɧԛɤɬɟɫɿɧɿԙ ɤɨɨɪɞɢɧɚɬɚɥɚɪɵ, ɚɥ

o

Zx , Z y ɠԥɧɟ Zz ɲɚɦɚɥɚɪɵ Z ɜɟɤɬɨɪɵɧɵԙ ɩɪɨɟɤɰɢɹɥɚɪɵ ɛɨɥԑɚɧɞɵԕɬɚɧ:

135