[spec] tidy mensuration section
authorAndrew Lorimer <andrew@lorimer.id.au>
Sun, 13 Oct 2019 08:08:08 +0000 (19:08 +1100)
committerAndrew Lorimer <andrew@lorimer.id.au>
Sun, 13 Oct 2019 08:08:08 +0000 (19:08 +1100)
spec/spec-collated.pdf
spec/spec-collated.tex
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Binary files a/spec/spec-collated.pdf and b/spec/spec-collated.pdf differ
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                     \end{scope}
                   \end{tikzpicture}
 
                     \end{scope}
                   \end{tikzpicture}
 
-                  \subsubsection*{Sectors}
 
                   \begin{align*}
 
                   \begin{align*}
-                    A &= \pi r^2 \dfrac{\theta}{2\pi} \\
+                    \textbf{Sectors: } A &= \pi r^2 \dfrac{\theta}{2\pi} \\
                     &= \dfrac{r^2 \theta}{2}
                   \end{align*}
 
                     &= \dfrac{r^2 \theta}{2}
                   \end{align*}
 
-                  \subsubsection*{Segments}
-
-                  \[ A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \]
-
-                  \subsubsection*{Chords}
+                  \[ \textbf{Segments: } A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \]
 
                   \begin{align*}
 
                   \begin{align*}
-                    \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\
+                    \textbf{Chords: } \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\
                     &= \sqrt{2 - 2\cos\theta} \\
                     &= 2 \sin \left(\dfrac{\theta}{2}\right)
                   \end{align*}
                     &= \sqrt{2 - 2\cos\theta} \\
                     &= 2 \sin \left(\dfrac{\theta}{2}\right)
                   \end{align*}