diff --git a/trigonometry.scad b/trigonometry.scad
index 8aa49c5..35b8df1 100644
--- a/trigonometry.scad
+++ b/trigonometry.scad
@@ -120,13 +120,11 @@ function law_of_sines(a, A, b, B) =
 
 
 // Function: hyp_opp_to_adj()
-// Alias: opp_hyp_to_adj()
 // Synopsis: Returns the adjacent side length from the lengths of the hypotenuse and the opposite side.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   adj = hyp_opp_to_adj(hyp,opp);
-//   adj = opp_hyp_to_adj(opp,hyp);
 // Description:
 //   Given the lengths of the hypotenuse and opposite side of a right triangle, returns the length
 //   of the adjacent side.
@@ -134,23 +132,36 @@ function law_of_sines(a, A, b, B) =
 //   hyp = The length of the hypotenuse of the right triangle.
 //   opp = The length of the side of the right triangle that is opposite from the primary angle.
 // Example:
-//   hyp = hyp_opp_to_adj(5,3);  // Returns: 4
+//   adj = hyp_opp_to_adj(5,3);  // Returns: 4
 function hyp_opp_to_adj(hyp,opp) =
     assert(is_finite(hyp+opp) && hyp>=0 && opp>=0,
            "Triangle side lengths should be a positive numbers." )
     sqrt(hyp*hyp-opp*opp);
 
+
+// Function: opp_hyp_to_adj()
+// Synopsis: Returns the adjacent side length from the lengths of the hypotenuse and the opposite side.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   adj = opp_hyp_to_adj(opp,hyp);
+// Description:
+//   Given the lengths of the opposite side and hypotenuse of a right triangle, returns the length
+//   of the adjacent side.
+// Arguments:
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   adj = opp_hyp_to_adj(3,5);  // Returns: 4
 function opp_hyp_to_adj(opp,hyp) = hyp_opp_to_adj(hyp,opp);
 
 
 // Function: hyp_ang_to_adj()
-// Alias: ang_hyp_to_adj()
 // Synopsis: Returns the adjacent side length from the length of the hypotenuse and the angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   adj = hyp_ang_to_adj(hyp,ang);
-//   adj = ang_hyp_to_adj(ang,hyp);
 // Description:
 //   Given the length of the hypotenuse and the angle of the primary corner of a right triangle,
 //   returns the length of the adjacent side.
@@ -164,43 +175,67 @@ function hyp_ang_to_adj(hyp,ang) =
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     hyp*cos(ang);
 
+// Function: ang_hyp_to_adj()
+// Synopsis: Returns the adjacent side length from the angle and the length of the hypotenuse.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   adj = ang_hyp_to_adj(ang,hyp);
+// Description:
+//   Given  the angle of the primary corner and the length of the hypotenuse of a right triangle,
+//   returns the length of the adjacent side.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   adj = ang_hyp_to_adj(60,8);  // Returns: 4
 function ang_hyp_to_adj(ang,hyp) = hyp_ang_to_adj(hyp, ang);
 
 
 // Function: opp_ang_to_adj()
-// Alias: ang_opp_to_adj()
-// Synopsis: Returns the adjacent side length from the length of the opposite side and the angle.
+// Synopsis: Returns the adjacent side length from the length of the opposite side and the primary angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   adj = opp_ang_to_adj(opp,ang);
-//   adj = ang_opp_to_adj(ang,opp);
 // Description:
-//   Given the angle of the primary corner of a right triangle, and the length of the side opposite of it,
+//   Given the length of the side opposite the primary corner, and the angle of the primary corner of a right triangle,
 //   returns the length of the adjacent side.
 // Arguments:
 //   opp = The length of the side of the right triangle that is opposite from the primary angle.
 //   ang = The angle in degrees of the primary corner of the right triangle.
 // Example:
-//   adj = opp_ang_to_adj(8,30);  // Returns: 4
+//   adj = opp_ang_to_adj(8,45);  // Returns: 8
 function opp_ang_to_adj(opp,ang) =
     assert(is_finite(opp) && opp>=0, "Triangle side length should be a positive number." )
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     opp/tan(ang);
 
+// Function: ang_opp_to_adj()
+// Synopsis: Returns the adjacent side length from the primary angle and the length of the opposite side.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   adj = ang_opp_to_adj(ang,opp);
+// Description:
+//   Given the angle of the primary corner of a right triangle, and the length of the side opposite of it,
+//   returns the length of the adjacent side.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+// Example:
+//   adj = ang_opp_to_adj(45,8);  // Returns: 8
 function ang_opp_to_adj(ang,opp) = opp_ang_to_adj(opp,ang);
 
 
 // Function: hyp_adj_to_opp()
-// Alias: adj_hyp_to_opp()
 // Synopsis: Returns the opposite side length from the lengths of the hypotenuse and the adjacent side.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   opp = hyp_adj_to_opp(hyp,adj);
-//   opp = adj_hyp_to_opp(adj,hyp);
 // Description:
-//   Given the length of the hypotenuse and the adjacent side, returns the length of the opposite side.
+//   Given the lengths of the hypotenuse and the adjacent side, returns the length of the opposite side.
 // Arguments:
 //   hyp = The length of the hypotenuse of the right triangle.
 //   adj = The length of the side of the right triangle that is adjacent to the primary angle.
@@ -211,19 +246,34 @@ function hyp_adj_to_opp(hyp,adj) =
            "Triangle side lengths should be a positive numbers." )
     sqrt(hyp*hyp-adj*adj);
 
+
+
+// Function: adj_hyp_to_opp()
+// Synopsis: Returns the opposite side length from the lengths of the adjacent side and the hypotenuse.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   opp = adj_hyp_to_opp(adj,hyp);
+// Description:
+//   Given the lengths of the adjacent side and the hypotenuse, returns the length of the opposite side.
+// Arguments:
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   opp = adj_hyp_to_opp(4,5);  // Returns: 3
+
 function adj_hyp_to_opp(adj,hyp) = hyp_adj_to_opp(hyp,adj);
 
 
+
 // Function: hyp_ang_to_opp()
-// Alias: ang_hyp_to_opp()
-// Synopsis: Returns the opposite side length from the length of the hypotenuse and the angle.
+// Synopsis: Returns the opposite side length from the length of the hypotenuse and the primary angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   opp = hyp_ang_to_opp(hyp,ang);
-//   opp = ang_hyp_to_opp(ang,hyp);
 // Description:
-//   Given the length of the hypotenuse of a right triangle, and the angle of the corner, returns the length of the opposite side.
+//   Given the length of the hypotenuse of a right triangle and the angle of the primary corner, returns the length of the opposite side.
 // Arguments:
 //   hyp = The length of the hypotenuse of the right triangle.
 //   ang = The angle in degrees of the primary corner of the right triangle.
@@ -234,19 +284,31 @@ function hyp_ang_to_opp(hyp,ang) =
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     hyp*sin(ang);
 
+
+// Function: ang_hyp_to_opp()
+// Synopsis: Returns the opposite side length from the primary angle and the length of the hypotenuse.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   opp = ang_hyp_to_opp(ang,hyp);
+// Description:
+//   Given the the angle of the primary corner and the length of the hypotenuse of a right triangle, returns the length of the opposite side.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   opp = ang_hyp_to_opp(30,8);  // Returns: 4
 function ang_hyp_to_opp(ang,hyp) = hyp_ang_to_opp(hyp,ang);
 
 
 // Function: adj_ang_to_opp()
-// Alias: ang_adj_to_opp()
-// Synopsis: Returns the opposite side length from the length of the adjacent side and the angle.
+// Synopsis: Returns the opposite side length from the length of the adjacent side and the primary angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   opp = adj_ang_to_opp(adj,ang);
-//   opp = ang_adj_to_opp(ang,adj);
 // Description:
-//   Given the length of the adjacent side of a right triangle, and the angle of the corner, returns the length of the opposite side.
+//   Given the length of the adjacent side of a right triangle, and the angle of the primary corner, returns the length of the opposite side.
 // Arguments:
 //   adj = The length of the side of the right triangle that is adjacent to the primary angle.
 //   ang = The angle in degrees of the primary corner of the right triangle.
@@ -257,17 +319,28 @@ function adj_ang_to_opp(adj,ang) =
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     adj*tan(ang);
 
+// Function: ang_adj_to_opp()
+// Synopsis: Returns the opposite side length from the length of the adjacent side and the primary angle.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   opp = ang_adj_to_opp(ang,adj);
+// Description:
+//   Given the angle of the primary corner and the length of the adjacent side of a right triangle, returns the length of the opposite side.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+// Example:
+//   opp = ang_adj_to_opp(45,8);  // Returns: 8
 function ang_adj_to_opp(ang,adj) = adj_ang_to_opp(adj,ang);
 
 
 // Function: adj_opp_to_hyp()
-// Alias: opp_adj_to_hyp()
 // Synopsis: Returns the hypotenuse length from the lengths of the adjacent and opposite sides.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   hyp = adj_opp_to_hyp(adj,opp);
-//   hyp = opp_adj_to_hyp(opp,adj);
 // Description:
 //   Given the length of the adjacent and opposite sides of a right triangle, returns the length of the hypotenuse.
 // Arguments:
@@ -280,17 +353,29 @@ function adj_opp_to_hyp(adj,opp) =
            "Triangle side lengths should be a positive numbers." )
     norm([opp,adj]);
 
+
+// Function: opp_adj_to_hyp()
+// Synopsis: Returns the hypotenuse length from the lengths of the opposite and adjacent sides.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   hyp = opp_adj_to_hyp(opp,adj);
+// Description:
+//   Given the length of the opposite and adjacent sides of a right triangle, returns the length of the hypotenuse.
+// Arguments:
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+// Example:
+//   hyp = opp_adj_to_hyp(4,3);  // Returns: 5
 function opp_adj_to_hyp(opp,adj) = adj_opp_to_hyp(adj,opp);
 
 
 // Function: adj_ang_to_hyp()
-// Alias: ang_adj_to_hyp()
-// Synopsis: Returns the hypotenuse length from the length of the adjacent and the angle.
+// Synopsis: Returns the hypotenuse length from the length of the adjacent side and the primary angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   hyp = adj_ang_to_hyp(adj,ang);
-//   hyp = ang_adj_to_hyp(ang,adj);
 // Description:
 //   For a right triangle, given the length of the adjacent side, and the corner angle, returns the length of the hypotenuse.
 // Arguments:
@@ -303,19 +388,31 @@ function adj_ang_to_hyp(adj,ang) =
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     adj/cos(ang);
 
+
+// Function: ang_adj_to_hyp()
+// Synopsis: Returns the hypotenuse length from the primary angle and length of the adjacent side.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   hyp = ang_adj_to_hyp(ang,adj);
+// Description:
+//   For a right triangle, given the primary angle and length of the adjacent side, returns the length of the hypotenuse.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+// Example:
+//   hyp = ang_adj_to_hyp(60,4);  // Returns: 8
 function ang_adj_to_hyp(ang,adj) = adj_ang_to_hyp(adj,ang);
 
 
 // Function: opp_ang_to_hyp()
-// Alias: ang_opp_to_hyp()
-// Synopsis: Returns the hypotenuse length from the length of the opposite side and the angle.
+// Synopsis: Returns the hypotenuse length from the length of the opposite side and the primary angle.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   hyp = opp_ang_to_hyp(opp,ang);
-//   hyp = ang_opp_to_hyp(ang,opp);
 // Description:
-//   For a right triangle, given the length of the opposite side, and the corner angle, returns the length of the hypotenuse.
+//   For a right triangle, given the length of the opposite side, and the primary corner angle, returns the length of the hypotenuse.
 // Arguments:
 //   opp = The length of the side of the right triangle that is opposite from the primary angle.
 //   ang = The angle in degrees of the primary corner of the right triangle.
@@ -326,19 +423,31 @@ function opp_ang_to_hyp(opp,ang) =
     assert(is_finite(ang) && ang>-90 && ang<90, "The angle should be an acute angle." )
     opp/sin(ang);
 
+// Function: ang_opp_to_hyp()
+// Synopsis: Returns the hypotenuse length from the primary angle and the length of the opposite side.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   hyp = ang_opp_to_hyp(ang,opp);
+// Description:
+//   For a right triangle, given the primary corner angle and the length of the opposite side, returns the length of the hypotenuse.
+// Arguments:
+//   ang = The angle in degrees of the primary corner of the right triangle.
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+// Example:
+//   hyp = opp_ang_to_hyp(30,4);  // Returns: 8
 function ang_opp_to_hyp(ang,opp) = opp_ang_to_hyp(opp,ang);
 
 
+
 // Function: hyp_adj_to_ang()
-// Alias: adj_hyp_to_ang()
 // Synopsis: Returns the angle from the lengths of the hypotenuse and the adjacent side.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   ang = hyp_adj_to_ang(hyp,adj);
-//   ang = adj_hyp_to_ang(adj,hyp);
 // Description:
-//   For a right triangle, given the lengths of the hypotenuse and the adjacent sides, returns the angle of the corner.
+//   For a right triangle, given the lengths of the hypotenuse and the adjacent side, returns the angle of the primary corner.
 // Arguments:
 //   hyp = The length of the hypotenuse of the right triangle.
 //   adj = The length of the side of the right triangle that is adjacent to the primary angle.
@@ -349,19 +458,31 @@ function hyp_adj_to_ang(hyp,adj) =
             "Triangle side lengths should be positive numbers." )
     acos(adj/hyp);
 
+
+// Function: adj_hyp_to_ang()
+// Synopsis: Returns the angle from the lengths of the adjacent side and the hypotenuse.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   ang = adj_hyp_to_ang(adj,hyp);
+// Description:
+//   For a right triangle, given the lengths of the adjacent side and the hypotenuse, returns the angle of the primary corner.
+// Arguments:
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   ang = adj_hyp_to_ang(4,8);  // Returns: 60 degrees
 function adj_hyp_to_ang(adj,hyp) = hyp_adj_to_ang(hyp,adj);
 
 
 // Function: hyp_opp_to_ang()
-// Alias: opp_hyp_to_ang()
-// Synopsis: Returns the angle from the lengths of the hypotenuse and the opposite side.
+// Synopsis: Returns the primary angle from the lengths of the hypotenuse and the opposite side.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   ang = hyp_opp_to_ang(hyp,opp);
-//   ang = opp_hyp_to_ang(opp,hyp);
 // Description:
-//   For a right triangle, given the lengths of the hypotenuse and the opposite sides, returns the angle of the corner.
+//   For a right triangle, given the lengths of the hypotenuse and the opposite sides, returns the angle of the primary corner.
 // Arguments:
 //   hyp = The length of the hypotenuse of the right triangle.
 //   opp = The length of the side of the right triangle that is opposite from the primary angle.
@@ -372,17 +493,28 @@ function hyp_opp_to_ang(hyp,opp) =
             "Triangle side lengths should be positive numbers." )
     asin(opp/hyp);
 
+// Function: opp_hyp_to_ang()
+// Synopsis: Returns the primary angle from the lengths of the opposite side and the hypotenuse.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   ang = opp_hyp_to_ang(opp,hyp);
+// Description:
+//   For a right triangle, given the lengths of the opposite side and the hypotenuse, returns the angle of the primary corner.
+// Arguments:
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+//   hyp = The length of the hypotenuse of the right triangle.
+// Example:
+//   ang = opp_hyp_to_ang(4,8);  // Returns: 30 degrees
 function opp_hyp_to_ang(opp,hyp) = hyp_opp_to_ang(hyp,opp);
 
 
 // Function: adj_opp_to_ang()
-// Alias: opp_adj_to_ang()
 // Synopsis: Returns the angle from the lengths of the adjacent and opposite sides.
 // Topics: Geometry, Trigonometry, Triangles
-// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp()
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
 // Usage:
 //   ang = adj_opp_to_ang(adj,opp);
-//   ang = opp_adj_to_ang(opp,adj);
 // Description:
 //   For a right triangle, given the lengths of the adjacent and opposite sides, returns the angle of the corner.
 // Arguments:
@@ -395,8 +527,26 @@ function adj_opp_to_ang(adj,opp) =
             "Triangle side lengths should be positive numbers." )
     atan2(opp,adj);
 
+
+// Function: opp_adj_to_ang()
+// Synopsis: Returns the primary angle from the lengths of the opposite and adjacent sides.
+// Topics: Geometry, Trigonometry, Triangles
+// See Also: adj_ang_to_hyp(), adj_ang_to_opp(), adj_opp_to_ang(), adj_opp_to_hyp(), hyp_adj_to_ang(), hyp_adj_to_opp(), hyp_ang_to_adj(), hyp_ang_to_opp(), hyp_opp_to_adj(), hyp_opp_to_ang(), opp_ang_to_adj(), opp_ang_to_hyp(), ang_adj_to_hyp(), ang_adj_to_opp(), opp_adj_to_ang(), opp_adj_to_hyp(), adj_hyp_to_ang(), adj_hyp_to_opp(), ang_hyp_to_adj(), ang_hyp_to_opp(), opp_hyp_to_adj(), opp_hyp_to_ang(), ang_opp_to_adj(), ang_opp_to_hyp()
+// Usage:
+//   ang = opp_adj_to_ang(opp,adj);
+// Description:
+//   For a right triangle, given the lengths of the opposite and adjacent sides, returns the angle of the primary corner.
+// Arguments:
+//   opp = The length of the side of the right triangle that is opposite from the primary angle.
+//   adj = The length of the side of the right triangle that is adjacent to the primary angle.
+// Example:
+//   ang = opp_adj_to_ang(0.5,sqrt(3)/2);  // Returns: 30 degrees
 function opp_adj_to_ang(opp,adj) = adj_opp_to_ang(adj,opp);
 
 
 
+
+
+
+
 // vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap