[spec] tidy mensuration section

diff --git a/spec/spec-collated.pdf b/spec/spec-collated.pdf
index 174123300d682eed2ce36cbdcf45de357ef04085..4f56f235e7696135065314e0c019ad4f31d85680 100644 (file)
Binary files a/spec/spec-collated.pdf and b/spec/spec-collated.pdf differ

diff --git a/spec/spec-collated.tex b/spec/spec-collated.tex
index 225cc8c01920230b2558af383d7d7304c9612027..16b779fbe71ba675908a5f189ecbb3acf5e365af 100644 (file)
--- a/spec/spec-collated.tex
+++ b/spec/spec-collated.tex
@@ -845,21 +845,16 @@
                     \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*}