utnamgeo

Python library to solve 2d/3d coordinate geometry

Installation

pip install utnamgeo

Requirements

pip install utnamtte

Documentation

Ways to import

Method 1

import utnamgeo
print(utnamgeo.area_3d(...))

Method 2

from utnamgeo import area_3d
print(area_3d(...))

Method 3

from utnamgeo import area_3d as xy
print(xy(...))

Method 4 ( my favourite)

from utnamgeo import *
print(area_3d(...))

Useful functions

area_2d

 #returns area of triangle with vertices (x1, y1) (x2, y2) and (x3, y3)
 area = area_2d(x1, y1, x2, y2, x3, y3)

area_3d

#returns area of triangle in 3d space with vertices (x1, y1, z1) (x2, y2, z2) and (x3, y3, z3)
area = area_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)

fop

# returns the x, y, z coordinates of the foot of perpendicular drawn from the point (x3, y3, z3) to the line joining (x1, y1, z1) and  (x2, y2, z2) 
xn, xd, yn, yd, zn, zd = fop(x1, y1, z1, x2, y2, z2, x3, y3, z3)
#returns numerator and denominator of the coordinates

gcd

# returns the HCF(highest common factor) or GCD( Greatest common divisor) {both meaning the same} of two numbers
hcf = gcd(a, b)

intersect

# returns the x, y, z, x(as fraction), y(as fraction), z(as fraction) coordinates of the point of intersection of two lines, 
# line 1: x-x1/(a1n/a1d) = y-y1/(b1n/b1d) = z-z1/(c1n/c1d)
# line 2: x-x2/(a2n/a2d) = y-y/2(b2n/b2d) = z-z2/(c2n/c2d)
xn, xd, yn, yd, zn, zd = intersect(x1, y1, z1, x2, y2, z2, x3, y3, z3)

iscollinear

# returns whether the three points in 2d space are collinear or not
value = iscollinear(x1, y1, x2, y2, x3, y3)
# returns True if collinear and False if not

iscollinear_3d

# returns whether the three points in 3d space are collinear or not
value = iscollinear_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
# returns True if collinear and False if not

perimeter_2d

 #returns perimeter of triangle with vertices (x1, y1) (x2, y2) and (x3, y3)
 peri = peri_2d(x1, y1, x2, y2, x3, y3)

perimeter_3d

#yreturns perimeter of triangle in 3d space with vertices (x1, y1, z1) (x2, y2, z2) and (x3, y3, z3)
peri = perimeter_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)

Centres

Centroid_2d

# Centroid_2d(x1, y1, x2, y2, x3, y3)
a = utnamgeo.Centroid_2d(0, 2,  3, 7, 6, 3)
print("x coordinate:", a.x)
print("y coordinate:", a.y)

Output: 
x coordinate: 3

y coordinate: 4

Centroid_3d

# Centroid_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
a = utnamgeo.Centroid_3d(0, 2, 11, 3, 7, 4, 6, 3, 6)
print("x coordinate:", a.x)
print("y coordinate:", a.y)
print("z coordinate:", a.z)

Output:
x coordinate: 3

y coordinate: 4

z coordinate: 7

Circumcentre_2d

# Circumcentre_2d(x1, y1, x2, y2, x3, y3)
a = utnamgeo.Circumcentre_2d(2, -5, 2, 7, 14, -5)
print("x coordinate:", a.x)
print("y coordinate:", a.y)

Output: 
x coordinate:  8

y coordinate:  1

Circumcentre_3d

# Circumcentre_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
a = utnamgeo.Circumcentre_3d(2, -5, -3, 2, 7, -3, 14, -5, 6)
print("x coordinate:", a.x)
print("y coordinate:", a.y)
print("z coordinate:", a.z)

Output: 
x coordinate:  8

y coordinate:  1

z coordinate:  5

Excentre_2d

# Excentre_2d(x1, y1, x2, y2, x3, y3)
a = utnamgeo.Excentre_2d(2, -5, 2, 7, 14, -5)
print("x coordinate:", a.xa)
print("y coordinate:", a.ya)

Output: 
x coordinate:  5.11625...

y coordinate: -1.1046...  

Excentre_3d

# Excentre_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
a = utnamgeo.Excentre_3d(2, -5, -3, 2, 7, -3, 14, -5, 6)
print("x coordinate:", a.xa)
print("y coordinate:", a.ya)
print("z coordinate:", a.za)

Output: 
x coordinate:  5.11625...

y coordinate: -1.1046...

z coordinate: -0.6628...  

Incentre_2d

# Incentre_2d(x1, y1, x2, y2, x3, y3)
a = utnamgeo.Incentre_2d(2,-5,2,7,14,-5)
print("x coordinate:", a.x)
print("y coordinate:", a.y)

Output:
x coordinate:  5.1162...

y coordinate: -1.1046...

z coordinate: -0.6628...

Incentre_3d

# Incentre_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
a = utnamgeo.Incentre_3d(2, -5, -3, 2, 7, -3, 14, -5, 6)
print("x coordinate:", a.x)
print("y coordinate:", a.y)
print("z coordinate:", a.z)
print("In-radius: ", a.radius)

Output:
x coordinate:  5.1162...

y coordinate: -1.1046...

z coordinate: -0.6628...

In-radius:     3.8953...

Orthocentre_2d

# Orthocentre_2d(x1, y1, x2, y2, x3, y3)
a = utnamgeo.Orthocentre_2d(2,5,2,8,14,5)
print("x coordinate:", a.x)
print("y coordinate:", a.y)

Output:
x coordinate: 2

y coordinate: 5

Orthocentre_3d

# Orthocentre_3d(x1, y1, z1, x2, y2, z2, x3, y3, z3)
a = utnamgeo.Orthocentre_3d(2, -5, -3, 2, 7, -3, 14, -5, 6)
print("x coordinate:", a.x)
print("y coordinate:", a.y)
print("z coordinate:", a.z)

Output:
x coordinate: 2

y coordinate: -5

z coordinate: -3 

▶️ Package's YouTube tutorial here

Change Log

0.0.2 (17/06/2023)

• Fixed Circumcentre_3d function