From e12c7ce372ecaa042d85d9fb76371a75ff518d1a Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Wed, 28 Jul 2021 14:27:37 +0200
Subject: Expand knowledge base, fix a:visited CSS

---
 content/know/concept/spherical-coordinates/index.pdc | 9 +++------
 1 file changed, 3 insertions(+), 6 deletions(-)

(limited to 'content/know/concept/spherical-coordinates')

diff --git a/content/know/concept/spherical-coordinates/index.pdc b/content/know/concept/spherical-coordinates/index.pdc
index 4338ab4..4768110 100644
--- a/content/know/concept/spherical-coordinates/index.pdc
+++ b/content/know/concept/spherical-coordinates/index.pdc
@@ -50,9 +50,6 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-The spherical basis vectors $\vu{e}_r$, $\vu{e}_\theta$ and $\vu{e}_\varphi$
-are expressed in the Cartesian basis like so:
-
 The spherical coordinate system is an orthogonal
 [curvilinear](/know/concept/curvilinear-coordinates/) system,
 whose scale factors $h_r$, $h_\theta$ and $h_\varphi$ we want to find.
@@ -67,7 +64,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 And then we calculate the line element $\dd{\ell}^2$,
-skipping many terms thanks to orthogonality,
+skipping many terms thanks to orthogonality:
 
 $$\begin{aligned}
     \dd{\ell}^2
@@ -94,7 +91,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-With to these factors, we can easily convert things from the Cartesian system
+With these factors, we can easily convert things from the Cartesian system
 using the standard formulae for orthogonal curvilinear coordinates.
 The basis vectors are:
 
@@ -164,7 +161,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-So, for example, an integral over all of space in Cartesian is converted like so:
+So, for example, an integral over all of space is converted like so:
 
 $$\begin{aligned}
     \iiint_{-\infty}^\infty f(x, y, z) \dd{V}
-- 
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