Page 262 - index
P. 262
61-ɫɭɪɟɬ
ȿɤɿɧɲɿɞɟɧ, ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪ ɪɟɬɿɧɞɟ ɠԛɣɟɧɿԙ ɟɤɿ ɧԛɤɬɟɥɟɪɿɧ –
M1 (x1, y1 ) ɠԥɧɟ M 2 (x2 , y2 ) ԕɚɛɵɥɞɚɭԑɚ ɛɨɥɚɞɵ. Ɉɥ ԛɲɿɧ, ɟɤɿ ɤɨɨɪɞɢɧɚɬɬɵ
ɬɚԙɞɚɩ ɚɥɵɩ, ɛɚɫԕɚ ɟɤɟɭɿɧ ɨɫɵ ɤɨɨɪɞɢɧɚɬɬɚɪ ɚɪԕɵɥɵ ԧɪɧɟɤɬɟɭ ɤɟɪɟɤ.
Ɇɵɫɚɥɵ, ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪ ԛɲɿɧ x2 ɠԥɧɟ y2 ɨɫɶɬɟɪɿɧ ԕɚɛɵɥɞɚɩ,
ɨɥɚɪɞɵ x1 ɠԥɧɟ y1 ɨɫɶɬɟɪɿɦɟɧ ԧɪɧɟɤɬɟɣɦɿɡ. Ȼɚɣɥɚɧɵɫ ɬɟԙɞɟɭɥɟɪɿ:
f1 x12 y12 l12 0,
f 2 (x2 x1 )2 ( y2 y1 )2 l22 0.
Ɉɫɵ ɟɤɿ ɬɟԙɞɟɭɥɟɪɞɟɧ, ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪ ɪɟɬɿɧɞɟ ԕɚɛɵɥɞɚɧԑɚɧ
x1 ɦɟɧ x2 -ɧɿԙ ɮɭɧɤɰɢɹɥɚɪɵ ɪɟɬɿɧɞɟ y2 ɠԥɧɟ y1 ɤɨɨɪɞɢɧɚɬɬɚɪɵɧ ɬɚɛɚɦɵɡ.
ɋɨɧɵɦɟɧ, ɛɿɪ ɟɫɟɩɬɿ ɲɵԑɚɪԑɚɧ ɤɟɡɞɿԙ ԧɡɿɧɞɟ, ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪ
ɪɟɬɿɧɞɟ ԥɪɬԛɪɥɿ ɲɚɦɚɥɚɪɞɵ ɚɥɭԑɚ ɛɨɥɚɬɵɧɵɧ ɤԧɪɞɿɤ. Ԕɚɛɵɥɞɚɧԑɚɧ
ɲɚɦɚɥɚɪɞɵԙ ɫԥɬɬɿɥɿɝɿɧɟ ɛɚɣɥɚɧɵɫɬɵ ɟɫɟɩɬɿԙ ɲɟɲɿɥɭɿ ɨԙɚɣɥɚɧɚɬɵɧɵ ɛɟɥɝɿɥɿ.
ɀɚɥɩɵ ɠɚԑɞɚɣɞɚ, ɟɝɟɪ n ɧԛɤɬɟɥɟɪɞɟɧ ɬԝɪɚɬɵɧ ɠԛɣɟɧɿԙ ɛɚɣɥɚɧɵɫɬɚɪɵ
ԝɫɬɚɩ ɬԝɪɚɬɵɧ ɫɬɚɰɢɨɧɚɪ ɝɨɥɨɧɨɦɞɵ ɛɨɥɵɩ, ɚɥ ɨɧɵԙ ɟɪɤɿɧɞɿɤ ɞԥɪɟɠɟɫɿ k
ɛɨɥɫɚ, ɨɧɞɚ:
xs x s (q1, q2 ,..., qn ),
xs y s (q1, q2 ,..., qn ), (153)
xs z s (q1, q2 ,..., qn ),
(s 1,2,..., n).
ɇɟɦɟɫɟ ɪɚɞɢɭɫ-ɜɟɤɬɨɪɥɚɪ ɚɪԕɵɥɵ:
oo (153ɚ)
rs rs (q1, q2 ,..., qk ),
(s 1,2,..., n).
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