46 lines
1.0 KiB
TeX
Executable File
46 lines
1.0 KiB
TeX
Executable File
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\documentclass{report}
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%\batchmode
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\usepackage{latexsym}
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\usepackage[T2A]{fontenc}
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\usepackage[cp1251]{inputenc}
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\usepackage[russian]{babel}
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\usepackage{mathtext}
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\righthyphenmin=2
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\oddsidemargin=0pt
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\textwidth=18cm
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\topmargin=0cm
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\textheight=23cm
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\begin{document}
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\begin{equation}
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\label{first}
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\left\{\begin{array}{l}(x-x_1)^2+(y-y_1)^2=R^2\\y=\tg(\alpha)(x-x_c)+y_c\end{array}\right.
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\end{equation}
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\begin{equation}
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\label{second}
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x^2-2\cdot x \cdot x_1 + x_1^2 + \left[\tg(\alpha)x-\tg(\alpha)x_c+y_c-y_1\right]^2=R^2
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\end{equation}
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\begin{equation}
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\label{third}
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x^2-2\cdot x \cdot x_1 + x_1^2+(\tg(\alpha)x)^2+2(\tg(\alpha)x)(y_c-y_1-\tg(\alpha)x_c)+(y_c-y_1-\tg(\alpha)x_c)^2=R^2
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\end{equation}
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\begin{equation}
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\label{fourth}
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x^2(1+\tg^2(\alpha))+x\left(2\tg(\alpha)(y_c-y_1-\tg(\alpha)x_c)-2x_1\right)+x_1^2+(y_c-y_1-\tg(\alpha)x_c)^2-R^2=0
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\end{equation}
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\begin{equation}
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\label{ABC}
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\left\{\begin{array}{l}
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a=1+\tg^2(\alpha)\\
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b=2\tg(\alpha)(y_c-y_1-\tg(\alpha)x_c)\\
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c=x_1^2+(y_c-y_1-\tg(\alpha)x_c)-R^2
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\end{array}\right.
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\end{equation}
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\end{document}
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