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authorHoward Butler <howard@hobu.co>2017-06-29 13:17:26 -0500
committerGitHub <noreply@github.com>2017-06-29 13:17:26 -0500
commit4e0d0daf5d2cbd875f75d643d701b49a49c0b580 (patch)
tree4c2ed11fbfc6dec2f399719625d7ecd4a99de05a /docs/source/projections
parent9a9879e05461443e482e2762a9f7db5a2173e992 (diff)
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Diffstat (limited to 'docs/source/projections')
-rw-r--r--docs/source/projections/cass.rst6
-rw-r--r--docs/source/projections/eck1.rst4
-rw-r--r--docs/source/projections/fouc_s.rst4
-rw-r--r--docs/source/projections/geos.rst2
-rw-r--r--docs/source/projections/hatano.rst4
-rw-r--r--docs/source/projections/wag2.rst4
-rw-r--r--docs/source/projections/wag3.rst4
7 files changed, 3 insertions, 25 deletions
diff --git a/docs/source/projections/cass.rst b/docs/source/projections/cass.rst
index 3fadd737..83f8c2ce 100644
--- a/docs/source/projections/cass.rst
+++ b/docs/source/projections/cass.rst
@@ -63,8 +63,7 @@ Forward projection
.. math::
- \DeclareMathOperator{\arctantwo}{arctan2}
- y = \arctantwo(\tan(\phi), \cos(\lambda)) - \phi_0
+ y = \arctan2(\tan(\phi), \cos(\lambda)) - \phi_0
Inverse projection
------------------
@@ -75,8 +74,7 @@ Inverse projection
.. math::
- \DeclareMathOperator{\arctantwo}{arctan2}
- \lambda = \arctantwo(\tan(x), \cos(y+\phi_0))
+ \lambda = \arctan2(\tan(x), \cos(y+\phi_0))
Elliptical form
===============
diff --git a/docs/source/projections/eck1.rst b/docs/source/projections/eck1.rst
index 54fc2f5c..841533ec 100644
--- a/docs/source/projections/eck1.rst
+++ b/docs/source/projections/eck1.rst
@@ -11,12 +11,8 @@ Eckert I
.. math::
- \begin{array}
-
x &= 2 \sqrt{2/3\pi} \lambda (1- |\phi|/\pi)
y &= 2 \sqrt{2/3\pi}\phi
- \end {array}
-
diff --git a/docs/source/projections/fouc_s.rst b/docs/source/projections/fouc_s.rst
index 4f914bcb..ac353adb 100644
--- a/docs/source/projections/fouc_s.rst
+++ b/docs/source/projections/fouc_s.rst
@@ -15,14 +15,10 @@ the sinusoidal projections. Parameter :math:`n=n` is the weighting factor where
.. math::
- \begin{array}
-
x &= \lambda \cos \phi / (n + (1 - n) \ cos \phi)
y &= n \phi + (1 - n) \sin \phi
- \end {array}
-
For the inverse, the Newton-Raphson method can be used to determine
:math:`\phi` from the equation for :math:`y` above. As :math:`n \rightarrow 0` and
:math:`\phi \rightarrow \pi/2`, convergence is slow but for :math:`n = 0`, :math:`\phi =
diff --git a/docs/source/projections/geos.rst b/docs/source/projections/geos.rst
index 96884238..2e309241 100644
--- a/docs/source/projections/geos.rst
+++ b/docs/source/projections/geos.rst
@@ -55,7 +55,7 @@ projection have a two-axis gimbal viewing geometry. This means that the differen
scanning positions are obtained by rotating the gimbal along a N/S axis (or ``y``)
and a E/W axis (or ``x``).
-.. image:: ../../images/geos_sweep.svg
+.. image:: ../../images/geos_sweep.png
:scale: 50%
:alt: Gimbal geometry
diff --git a/docs/source/projections/hatano.rst b/docs/source/projections/hatano.rst
index a150b64b..5d0c63b7 100644
--- a/docs/source/projections/hatano.rst
+++ b/docs/source/projections/hatano.rst
@@ -40,8 +40,6 @@ Forward
.. math::
- \begin{array}
-
x &= 0.85\lambda \cos \theta
y &= C_y \sin \theta
@@ -52,8 +50,6 @@ Forward
\theta_0 &= 2\phi
- \end{array}
-
==================================== ================== ===================
Condition :math:`C_p` :math:`C_p`
diff --git a/docs/source/projections/wag2.rst b/docs/source/projections/wag2.rst
index f9e71354..9c7b0edc 100644
--- a/docs/source/projections/wag2.rst
+++ b/docs/source/projections/wag2.rst
@@ -11,12 +11,8 @@ Wagner II
.. math::
- \begin{array}
-
x &= 0.92483 \lambda \cos \theta
y &= 1.38725\theta
\sin \theta &= 0.88022 \sin(0.8855\phi)
-
- \end {array}
diff --git a/docs/source/projections/wag3.rst b/docs/source/projections/wag3.rst
index 5b043ef4..fb70a0a6 100644
--- a/docs/source/projections/wag3.rst
+++ b/docs/source/projections/wag3.rst
@@ -11,10 +11,6 @@ Wagner III
.. math::
- \begin{array}
-
x &= [\cos\phi_{ts} / \cos ( 2\phi_{ts} / 3)] \lambda \cos (2\phi /3)
y = \phi
-
- \end {array}