Python return_third_point_on_a_triagle_under_Ceva_Theorem示例

示例#1

文件： ceva_third_point.py 项目： whymranderson/xelatex

ax2.text(0,0,6, r'$z_s$', fontsize=18,verticalalignment='bottom', horizontalalignment='left')
'''
pA = np.array([0, 0, 0])
pB = np.array([3, 0, 0])
pC = np.array([2, 2.5, 0])
pD = (0.6 * pB + 0.4 * pC)
pE = (0.6 * pA + 0.4 * pC)

lineAC, = ax2.plot(*zip(pA, pC), linewidth=2, color='b')
lineBA, = ax2.plot(*zip(pB, pA), linewidth=2, color='b')
lineBC, = ax2.plot(*zip(pB, pC), linewidth=2, color='b')
lineAD, = ax2.plot(*zip(pA, pD), linewidth=2, color='b')
lineBE, = ax2.plot(*zip(pB, pE), linewidth=2, color='b')

pO = return_intersection_under_Ceva_Theorem(pA, pB, pC, pD, pE)
pF = return_third_point_on_a_triagle_under_Ceva_Theorem(pA, pB, pC, pD, pE)

lineCF, = ax2.plot(*zip(pC, pF), linewidth=1, color='b', linestyle=':')

ax2.text(*pA,
         s=r'$A$',
         fontsize=12,
         verticalalignment='bottom',
         horizontalalignment='right',
         linespacing=12)
ax2.text(*pB,
         s=r'$B$',
         fontsize=12,
         verticalalignment='bottom',
         horizontalalignment='left',
         linespacing=12)

示例#2

文件： tetra_template.py 项目： whymranderson/xelatex

lineAD, = ax2.plot(*zip(pA, pD), linewidth=2, color='b')
lineCB, = ax2.plot(*zip(pC, pB), linewidth=2, color='b')
lineCD, = ax2.plot(*zip(pC, pD), linewidth=2, color='b')
lineBD, = ax2.plot(*zip(pB, pD), linewidth=2, color='b')

pE = (pB + pC) / 2
pF = (pC + pD) / 2
pH = (pA + pB) / 2
pG = (0.4 * pA + 0.6 * pD)

lineDE, = ax2.plot(*zip(pD, pE), linewidth=1, color='b')
lineBF, = ax2.plot(*zip(pB, pF), linewidth=1, color='b')
lineDH, = ax2.plot(*zip(pD, pH), linewidth=1, color='b')
lineBG, = ax2.plot(*zip(pB, pG), linewidth=1, color='b')

pN = return_third_point_on_a_triagle_under_Ceva_Theorem(pB, pD, pC, pF, pE)
pNp = return_third_point_on_a_triagle_under_Ceva_Theorem(pD, pB, pA, pH, pG)

lineCN, = ax2.plot(*zip(pC, pN), linewidth=1, color='b')
lineANp, = ax2.plot(*zip(pA, pNp), linewidth=1, color='b')
#lineAR, = ax2.plot(*zip(pA,pR),linewidth = 1,color='b')

pJ = return_intersection_under_Ceva_Theorem(pB, pD, pC, pF, pE)
pK = return_intersection_under_Ceva_Theorem(pD, pB, pA, pH, pG)

lineCK, = ax2.plot(*zip(pC, pK), linewidth=1, color='b')
lineAJ, = ax2.plot(*zip(pA, pJ), linewidth=1, color='b')

ax2.text(*pA,
         s=r'$A$',
         fontsize=12,

示例#3

pA = np.array([0, 0, 0])
pC = np.array([0, 6, 0])
pB = np.array([1, 3.5, 2])
pD = np.array([7, 1.5, 0])

lineAC, = ax2.plot(*zip(pA, pC), linewidth=2, color='b')
lineAB, = ax2.plot(*zip(pA, pB), linewidth=2, color='b')
lineAD, = ax2.plot(*zip(pA, pD), linewidth=2, color='b')
lineCB, = ax2.plot(*zip(pC, pB), linewidth=2, color='b')
lineCD, = ax2.plot(*zip(pC, pD), linewidth=2, color='b')
lineBD, = ax2.plot(*zip(pB, pD), linewidth=2, color='b')

pE = (pB + pC) / 2
pF = (pC + pD) / 2
pN = return_third_point_on_a_triagle_under_Ceva_Theorem(pB, pD, pC, pF, pE)
pH = (pA + pB) / 2
pG = return_third_point_on_a_triagle_under_Ceva_Theorem(pA, pD, pB, pN, pH)
pM = return_third_point_on_a_triagle_under_Ceva_Theorem(pA, pC, pB, pE, pH)

#lineDE, = ax2.plot(*zip(pD,pE),linewidth = 1,color='b',linestyle=':')
#lineBF, = ax2.plot(*zip(pB,pF),linewidth = 1,color='b',linestyle=':')
#lineDH, = ax2.plot(*zip(pD,pH),linewidth = 1,color='b',linestyle=':')
#lineBG, = ax2.plot(*zip(pB,pG),linewidth = 1,color='b',linestyle=':')

#lineCN, = ax2.plot(*zip(pC,pN),linewidth = 1,color='b',linestyle=':')
#lineAN, = ax2.plot(*zip(pA,pN),linewidth = 1,color='b',linestyle=':')
#lineAR, = ax2.plot(*zip(pA,pR),linewidth = 1,color='b')

pJ = return_intersection_under_Ceva_Theorem(pB, pD, pC, pF, pE)
pK = return_intersection_under_Ceva_Theorem(pD, pB, pA, pH, pG)

示例#4

文件： collinear_ceva_points_many.py 项目： whymranderson/xelatex

linePG, = ax2.plot(*zip(pP, pG), linewidth=2, color='b')
linePE, = ax2.plot(*zip(pP, pE), linewidth=2, color='b')

pI = return_intersection_under_Ceva_Theorem(pA, pE, pC, pD, pB)
pK = return_intersection_under_Ceva_Theorem(pA, pG, pC, pH, pB)

lineGI, = ax2.plot(*zip(pG, pI), linewidth=1, color='b', linestyle=':')
lineEK, = ax2.plot(*zip(pE, pK), linewidth=1, color='b', linestyle=':')
lineGD, = ax2.plot(*zip(pG, pD), linewidth=1, color='b', linestyle=':')
lineHE, = ax2.plot(*zip(pH, pE), linewidth=1, color='b', linestyle=':')

pJ = return_intersection_under_Ceva_Theorem(pG, pE, pB, pI, pK)
pL = return_intersection_under_Ceva_Theorem(pG, pE, pC, pD, pH)
pQ1 = return_Menelaus_third_outer_point_2nd(pQ, pB, pE, pI, pA)
pP1 = return_Menelaus_third_outer_point_2nd(pP, pB, pE, pI, pA)
pF = return_third_point_on_a_triagle_under_Ceva_Theorem(pG, pE, pB, pI, pK)
pQ2 = return_third_point_on_a_triagle_under_Ceva_Theorem(pQ, pG, pE, pF, pQ1)
pP2 = return_third_point_on_a_triagle_under_Ceva_Theorem(pP, pG, pE, pF, pQ1)
pPc = return_intersection_under_Ceva_Theorem(pP, pG, pE, pF, pP1)
pS = return_Menelaus_third_outer_point(pG, pE, pB, pI, pK)

lineCF, = ax2.plot(*zip(pC, pF), linewidth=1, color='b', linestyle=':')
lineBF, = ax2.plot(*zip(pB, pF), linewidth=1, color='b', linestyle=':')
lineAPc, = ax2.plot(*zip(pA, pPc), linewidth=1, color='k')
lineAP1, = ax2.plot(*zip(pA, pP1), linewidth=1, color='r')
lineAP2, = ax2.plot(*zip(pA, pP2), linewidth=1, color='r')
lineQF, = ax2.plot(*zip(pQ, pF), linewidth=1, color='b', linestyle=':')
linePF, = ax2.plot(*zip(pP, pF), linewidth=1, color='b', linestyle=':')
lineGP1, = ax2.plot(*zip(pG, pP1), linewidth=1, color='b', linestyle=':')
lineGQ1, = ax2.plot(*zip(pG, pQ1), linewidth=1, color='b', linestyle=':')
lineQ2E, = ax2.plot(*zip(pE, pQ2), linewidth=1, color='b', linestyle=':')

示例#5

fig2 = pyplot.figure(2, figsize=(4, 4), dpi=100)
ax2 = p3.Axes3D(fig2)
ax2.view_init(elev=15, azim=-95)
ax2.set_color_cycle('b')

pA = np.array([2.5, -1, 3])
pB = np.array([4, 0, 0])
pD = np.array([0, 0, 0])
pC = np.array([1, -2.5, 0])
pN = (0.6 * pA + 0.4 * pB)
pH = (0.7 * pB + 0.3 * pD)
pI = (0.45 * pB + 0.55 * pC)

pE = return_intersection_under_Ceva_Theorem(pA, pD, pB, pH, pN)
pF = return_intersection_under_Ceva_Theorem(pA, pC, pB, pI, pN)
pJ = return_third_point_on_a_triagle_under_Ceva_Theorem(pD, pC, pN, pF, pE)
pG = return_Menelaus_third_outer_point(pD, pC, pN, pF, pE)

lineAC, = ax2.plot(*zip(pA, pC), linewidth=1, color='b')
lineGE, = ax2.plot(*zip(pG, pE), linewidth=1, color='b')
lineCG, = ax2.plot(*zip(pC, pG), linewidth=1, color='b')
lineAD, = ax2.plot(*zip(pA, pD), linewidth=1, color='b')
lineAH, = ax2.plot(*zip(pA, pH), linewidth=1, color='b')
lineAI, = ax2.plot(*zip(pA, pI), linewidth=1, color='b')
lineAB, = ax2.plot(*zip(pA, pB), linewidth=1, color='b')
lineBC, = ax2.plot(*zip(pC, pB), linewidth=1, color='b')
lineDB, = ax2.plot(*zip(pD, pB), linewidth=1, color='b')
lineNC, = ax2.plot(*zip(pN, pC), linewidth=1, color='b')
lineDC, = ax2.plot(*zip(pD, pC), linewidth=1, color='b')
lineDN, = ax2.plot(*zip(pD, pN), linewidth=1, color='b')

示例#6

文件： collinear_ceva_points.py 项目： whymranderson/xelatex

lineCE, = ax2.plot(*zip(pC, pE), linewidth=2, color='b')
lineAD, = ax2.plot(*zip(pA, pD), linewidth=2, color='b')
lineAH, = ax2.plot(*zip(pA, pH), linewidth=2, color='b')

pI = return_intersection_under_Ceva_Theorem(pA, pE, pC, pD, pB)
pK = return_intersection_under_Ceva_Theorem(pA, pG, pC, pH, pB)

lineGI, = ax2.plot(*zip(pG, pI), linewidth=1, color='b', linestyle=':')
lineEK, = ax2.plot(*zip(pE, pK), linewidth=1, color='b', linestyle=':')
lineGD, = ax2.plot(*zip(pG, pD), linewidth=1, color='b', linestyle=':')
lineHE, = ax2.plot(*zip(pH, pE), linewidth=1, color='b', linestyle=':')

pJ = return_intersection_under_Ceva_Theorem(pG, pE, pB, pI, pK)
pL = return_intersection_under_Ceva_Theorem(pG, pE, pC, pD, pH)

pF = return_third_point_on_a_triagle_under_Ceva_Theorem(pG, pE, pB, pI, pK)

lineCF, = ax2.plot(*zip(pC, pF), linewidth=1, color='b', linestyle=':')
lineBF, = ax2.plot(*zip(pB, pF), linewidth=1, color='b', linestyle=':')
lineAL, = ax2.plot(*zip(pA, pL), linewidth=1, color='b')

ax2.text(*pA,
         s=r'$A$',
         fontsize=12,
         verticalalignment='bottom',
         horizontalalignment='right',
         linespacing=12)
ax2.text(*pB,
         s=r'$B$',
         fontsize=12,
         verticalalignment='bottom',