geometry

A collection of handy geometry functions. Area, Volumes, Perimeters, Surface Area, Inscribed and circumscribed calculations and much more..

Area

• square(a)
• rectangle(length, width)
• triangle(base, height)
  • triangle_three_sides(a, b, c)
  • triangle_two_sides_and_angle_SAS(a, b, angle)
  • triangle_two_angles_and_side_ASA
• circle(r)
  • circle_sector(r, angle)
• ellipse(a, b)
• trapezoid(a, b, height)
• parallelogram(base, height)
  • paralelogram_two_sides_and_angle(a, b, angle)
  • paralelogram_diagonals_and_an_angle(e, f, angle)
• rhombus(side, height)
  • rhombus_diagonals(e, f)
  • rhombus_side_and_any_angle(side, angle)
• kite_diagonals(e, f)
  • kite_two_unequal_sides_and_angle(a, b, angle)
• regular_pentagon(a)
• regular_hexagon(a)
• regular_octagon(a)
• annulus(R, r)
• irregualar_quadrilateral(e, f, angle)
• regular_polygon(sides, a)

Perimeters

• square(a)
• rectangle(a, b)
• triangle_three_sides_SSS(a, b, c) triangle_two_sides_and_angle_SAS(a, b, angle) triangle_two_angles_and_side_ASA(a, angle1, angle2)
• circle(r) circle_sector(r, angle)
• ellipse(a, b)
• quadrilateral(a, b, c, d)
• trapezoid(a, b, c, d)
• parallelogram_sides(a, b)
  • parallelogram_one_side_and_diagonals(a, e, f)
  • parallelogram_base_heigt_any_angle(base, height, angle)
• rhombus_side(a)
  • rhombus_diagonals(e, f)
• kite(a, b)
• annulus(R, r)
• regular_polygon(sides, a)

Volumes

• cube(s)
• cylinder(r, height)
  • hollow_cylinder(R, r, height)
• pyramid(base_area, height)
  • pyramid_with_regular_base(shape_of_base, height, side_length)
• cone(r, height)
  • truncated_cone(lower_r, upper_r, height)
• ellipsoid(a, b, c)
• torus(a, b)
• rectangular_cuboid
• regular_tetrahedron(a)
• obelisk (a,b,A,B, height)
• wedge (a,b,c, height)
• frustum(s1, s2, height)

Surface Area

• wedge(a, b, c, height)
• regular_tetrahedron(a)
• torus(a, b)
• sphere(r)
• cube(a)
• cylinder(r, height)
  • lateral_cylinder(r, height)
  • base_cylinder(r)
• cone(r, height)
  • lateral_cone(r, height)
  • base_cone(r, height)
• rectangular_prism_box(a, b, c)
• triangular_prism(a, b, c, height)
• pyramid(l, height)
  • base_pyramid(l)
  • lateral_pyramid(l, height)

Inscribed and circumscribed

• incircle_of_a_triangle(a, b, c)
• incircle_of_a_regular_polygon(n, a)
• regular_polygons_inscribed_to_a_circle(n, r)
• circumcircle_of_a_triangle(a, b, c)
• circumcircle_of_a_regular_polygon(n, a)
• regular_polygon_circumscribed_to_a_circle(n, r)

others

• edge_length_cube(V)
• angles_of_a_triangle(a,b,c)
• regular_polyhedrons(n,a) (volume, surface area,radii of inscribed and circumscribed spheres calculations) -tetrahedron(4), cube(6), octahedron(8), dodecahedron(12), icosahedron(20)
• vector_norm(*args)