File:Area under rectangular hyperbola.svg
Summary
| Description |
English: The five coloured regions are of equal area, and define units of hyperbolic angle along the hyperbola xy = 1
Português: As cinco regiões coloridas possuem a mesma área, e definem unidades de ângulo hiperbólico junto com a hipérbole xy = 1 |
| Date | |
| Source |
Own work |
| Author | Vickvvy & Lenin.castilhos |
Matplotlib (Python)
# Author: Vickvvy, 2023-12-14
import matplotlib.pyplot as plt
import numpy as np
def f(x):
return 1/x
x = np.linspace(0.01, 8, 1000)
y = f(x)
fig, ax = plt.subplots(figsize=(6, 6))
ax.plot(x, y)
ax.set_xlim(0, 8)
ax.set_ylim(0, 8)
plt.xticks([1,np.e,np.exp(2)],labels=["1","e","e^2"])
plt.yticks([1,np.e,np.exp(2)],labels=["1","e","e^2"])
plt.fill_between(x, 1, where=(x>=0) & (x<=1),color='blue', alpha=0.2)
plt.fill_between(x, y, where=(x>1) & (x<=np.e),color='red', alpha=0.2)
plt.fill_betweenx(x, y, where=(x>1) & (x<=np.e),color='red', alpha=0.2)
plt.fill_between(x, y, where=(x>np.e) & (x<=np.exp(2)),color='blue', alpha=0.2)
plt.fill_betweenx(x, y, where=(x>np.e) & (x<=np.exp(2)),color='blue', alpha=0.2)
plt.plot(x, y, color="blue")
plt.savefig("xy=1.svg", format='svg')
Licensing
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