update toc

README.md

@@ -40,7 +40,6 @@ Where available, this cookbook will demonstrate how to determine the features of
 
 - "Great Circle Terminology": Breakdown of terminology important for working with and understanding great circles including WGS-84
 - "Coordinate Systems": Understanding and converted to different types of coordinate systems like Cartesian, Spherical, Polar, and Geodesic (Latitude/Longitude)
-- "Geodesic and Python": General overview of powerful open-source Python packages for working with geodesic data like `pyproj` and `geopy`
 
 Each section will make use of plotting to visually demonstrate concepts with `matplotlib` and `cartopy`
 

_toc.yml

@@ -14,3 +14,5 @@ parts:
       - file: notebooks/tutorials/arc_to_point
       - file: notebooks/tutorials/parallels_max_min
       - file: notebooks/tutorials/path_intersection
+      - file: notebooks/tutorials/angles
+      - file: notebooks/tutorials/polygon_area

notebooks/foundations/coordinates.ipynb

@@ -96,6 +96,7 @@
     "\n",
     "> A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude and longitude [(Wikipedia)](https://en.wikipedia.org/wiki/Geographic_coordinate_system)\n",
     "\n",
+    "Geodesic coordiantes are latitude and longtiude, from -90° South to 90° North and -180° East to 180° West measured from Greenwich\n",
     "\n",
     "<p align=\"center\">\n",
     "  <img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/e/ef/FedStats_Lat_long.svg/1024px-FedStats_Lat_long.svg.png\" alt=\"Longitude lines are perpendicular to and latitude lines are parallel to the Equator from Wikipedia\" width=400 />\n",
@@ -110,6 +111,12 @@
     "\n",
     "Cartesian coordinates describe points in space based on perpendicular axis lines that meet at a singlle point of origin, where any point's position is described based on the distance to the origin along xyz axis\n",
     "\n",
+    "<p align=\"center\">\n",
+    "  <img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/6/69/Coord_system_CA_0.svg/1024px-Coord_system_CA_0.svg.png\" alt=\"A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows. The tick marks on the axes are one length unit apart. The black dot shows the point with coordinates x = 2, y = 3, and z = 4, or (2, 3, 4) from Wikipedia\" width=400 />\n",
+    "</p>\n",
+    "\n",
+    "Image Source: [Three Dimensional Cartesian Coordiante System](https://en.wikipedia.org/wiki/Cartesian_coordinate_system#description)\n",
+    "\n",
     "**Geodesic to Cartesian Coordinates**\n",
     "\n",
     "Assuming the earth's radius is 6378137 meters\n",
@@ -219,7 +226,9 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### Display Coordinates of Cities"
+    "### Display Coordinates of Cities\n",
+    "\n",
+    "Read in latitude and longitude coordinates from locations"
    ]
   },
   {
@@ -408,7 +417,6 @@
     }
    ],
    "source": [
-    "# Read in location coordinates\n",
     "import pandas as pd\n",
     "\n",
     "location_df = pd.read_csv(\"../location_coords.txt\")\n",
@@ -874,7 +882,18 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### World Map"
+    "### World Map\n",
+    "\n",
+    "Full world map from -180-180 and -90-90:\n",
+    "```\n",
+    "longitude east = 180\n",
+    "\n",
+    "longitude west = -180\n",
+    "\n",
+    "latitude north = 90\n",
+    "\n",
+    "latitude south = -90\n",
+    "```"
    ]
   },
   {
@@ -917,7 +936,18 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### United States Map"
+    "### United States Map\n",
+    "\n",
+    "Map of the United States roughly from -130 to -60 and 20 to 60:\n",
+    "```\n",
+    "longitude east = -60\n",
+    "\n",
+    "longitude west = -130\n",
+    "\n",
+    "latitude north = 60\n",
+    "\n",
+    "latitude south = 20\n",
+    "```"
    ]
   },
   {

notebooks/foundations/terminology.ipynb

@@ -127,9 +127,14 @@
     "\n",
     "> TODO: https://gis.stackexchange.com/questions/25494/how-accurate-is-approximating-earth-as-sphere\n",
     "\n",
-    "To account for the error when assuming the Earth is a sphere, there are various geodetic systems and ellipsoids to include in calculations.\n",
-    "\n",
-    "### Geodesic and Python\n",
+    "To account for the error when assuming the Earth is a sphere, there are various geodetic systems and ellipsoids to include in calculations."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Geodesic and Python\n",
     "\n",
     "For the purpose of this notebook we will be taking advantage of two geodesic Python packages:\n",
     "\n",

notebooks/tutorials/angles.ipynb

@@ -4,13 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Let's start here! If you can directly link to an image relevant to your notebook, such as [canonical logos](https://github.com/numpy/numpy/blob/main/doc/source/_static/numpylogo.svg), do so here at the top of your notebook. You can do this with Markdown syntax,\n",
-    "\n",
-    "> `![<image title>](http://link.com/to/image.png \"image alt text\")`\n",
-    "\n",
-    "or edit this cell to see raw HTML `img` demonstration. This is preferred if you need to shrink your embedded image. **Either way be sure to include `alt` text for any embedded images to make your content more accessible.**\n",
-    "\n",
-    "<img src=\"images/ProjectPythia_Logo_Final-01-Blue.svg\" width=250 alt=\"Project Pythia Logo\"></img>"
+    "<img src=\"https://www.scratchapixel.com/images/geometry/projectvec.gif?\" alt=\"Illustrating the projection of vector onto the xy plane, highlighting the adjustment of its length based on sin(delta)\"></img>"
    ]
   },
   {

notebooks/tutorials/path_intersection.ipynb

@@ -4,13 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Let's start here! If you can directly link to an image relevant to your notebook, such as [canonical logos](https://github.com/numpy/numpy/blob/main/doc/source/_static/numpylogo.svg), do so here at the top of your notebook. You can do this with Markdown syntax,\n",
-    "\n",
-    "> `![<image title>](http://link.com/to/image.png \"image alt text\")`\n",
-    "\n",
-    "or edit this cell to see raw HTML `img` demonstration. This is preferred if you need to shrink your embedded image. **Either way be sure to include `alt` text for any embedded images to make your content more accessible.**\n",
-    "\n",
-    "<img src=\"images/ProjectPythia_Logo_Final-01-Blue.svg\" width=250 alt=\"Project Pythia Logo\"></img>"
+    "<img src=\"https://assets.weforum.org/editor/u0p_rm0X1NiSU4iew5pqT_c-ruHapJWPlXoLkS88ncQ.gif\" alt=\"24 hours of global air traffic – in just 4 seconds gif\"></img>"
    ]
   },
   {