72 lines
2.4 KiB
TeX
72 lines
2.4 KiB
TeX
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%-----------------------------------------------------------------------------%
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\chapter{\babTiga}
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%-----------------------------------------------------------------------------%
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\todo{tambahkan kata-kata pengantar bab 1 disini}
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%-----------------------------------------------------------------------------%
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\section{Satu Persamaan}
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%-----------------------------------------------------------------------------%
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\noindent \begin{align}\label{eq:garis}
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\cfrac{y - y_{1}}{y_{2} - y_{1}} =
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\cfrac{x - x_{1}}{x_{2} - x_{1}}
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\end{align}
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\equ~\ref{eq:garis} diatas adalah persamaan garis.
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\equ~\ref{eq:garis} dan \ref{eq:bola} sama-sama dibuat dengan perintah \bslash
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align.
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Perintah ini juga dapat digunakan untuk menulis lebih dari satu persamaan.
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\noindent \begin{align}\label{eq:bola}
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\underbrace{|\overline{ab}|}_{\text{pada bola $|\overline{ab}| = r$}}
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= \sqrt[2]{(x_{b} - x_{a})^{2} + (y_{b} - y_{a})^{2} +
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\vert\vert(z_{b} - z_{a})^{2}}
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\end{align}
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%-----------------------------------------------------------------------------%
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\section{Lebih dari Satu Persamaan}
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\label{sec:multiEqu}
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%-----------------------------------------------------------------------------%
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\noindent \begin{align}\label{eq:matriks}
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|\overline{a} * \overline{b}| &= |\overline{a}| |\overline{b}| \sin\theta
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\\[0.2cm]
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\overline{a} * \overline{b} &=
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\begin{array}{| c c c |}
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\hat{i} & x_{1} & x_{2} \\
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\hat{j} & y_{1} & y_{2} \\
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\hat{k} & z_{1} & z_{2} \\
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\end{array} \nonumber \\[0.2cm]
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&= \hat{i} \,
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\begin{array}{ | c c | }
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y_{1} & y_{2} \\
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z_{1} & z_{2} \\
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\end{array}
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+ \hat{j} \,
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\begin{array}{ | c c | }
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z_{1} & z_{2} \\
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x_{1} & x_{2} \\
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\end{array}
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+ \hat{k} \,
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\begin{array}{ | c c | }
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x_{1} & x_{2} \\
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y_{1} & y_{2} \\
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\end{array}
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\nonumber
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\end{align}
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Pada \equ~\ref{eq:matriks} dapat dilihat beberapa baris menjadi satu bagian
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dari \equ~\ref{eq:matriks}.
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Sedangkan dibawah ini dapat dilihat bahwa dengan cara yang sama, \equ~
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\ref{eq:gabungan1}, \ref{eq:gabungan2}, dan \ref{eq:gabungan3} memiliki nomor
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persamaannya masing-masing.
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\noindent \begin{align}\label{eq:gabungan1}
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\int_{a}^{b} f(x)\, dx + \int_{b}^{c} f(x) \, dx = \int_{a}^{c} f(x) \, dx
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\\\label{eq:gabungan2}
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\lim_{x \to \infty} \frac{f(x)}{g(x)} = 0 \hspace{1cm}
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\text{jika pangkat $f(x)$ $<$ pangkat $g(x)$} \\\label{eq:gabungan3}
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a^{m^{a \, ^{n}\log b }} = b^{\frac{m}{n}}
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\end{align}
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