對數尺
Author: 9902高一忠班 賴雯琳

10

1

0

10000000000

10

4

3

2

1

2

3

4

5

6

0.3010

0.4771

0.6020

0.7781

10

1000

100

10000

10^5

0.6990

9

8

7

0.8451

0.9031

0.9542

+1

+1

+1

+1

x10

x10

x10

x10

1

對數直線

實數直線

100000

1000000

10000000

100000000

1000000000

6

5

7

8

9

+1

+1

+1

+1

+1

+1

x10

x10

x10

x10

x10

x10

10^6

10^7

10^8

10^9

10^10

對數尺

A = (1.6890909090909074, 4.821272727272728)
r_1 = 5 (slider from 1 to 10, step 1)
B: A + r_1 * (1.0, 0.0)
a = Segment(A, B)
C: A + (0.0, 2.0)
D: A + (0.0, 4.0)
E: C + (10.0, 0.0)
F: D + (10.0, 0.0)
b = Segment(C, E)
c = Segment(D, F)
D_1: 6.0 / 10.0 * D + 4.0 / 10.0 * F
D_2: 7.0 / 10.0 * D + 3.0 / 10.0 * F
D_3: 8.0 / 10.0 * D + 2.0 / 10.0 * F
D_4: 9.0 / 10.0 * D + 1.0 / 10.0 * F
P_1: A + r_1 * (0.301, 0.0)
P_2: A + r_1 * (0.4771, 0.0)
P_3: A + r_1 * (0.6021, 0.0)
P_4: A + r_1 * (0.699, 0.0)
P_5: A + r_1 * (0.7782, 0.0)
d = Semicircle(P_1, A)
e = Semicircle(P_2, A)
f = Semicircle(P_3, A)
h = Semicircle(P_5, A)
C_1: 9.0 / 10.0 * C + 1.0 / 10.0 * E
C_3: 7.0 / 10.0 * C + 3.0 / 10.0 * E
C_2: 8.0 / 10.0 * C + 2.0 / 10.0 * E
C_4: 6.0 / 10.0 * C + 4.0 / 10.0 * E
n = 5 (slider from 1 to 10, step 1)
z: n
r: z
g = Semicircle(P_4, A)
P_8: A + r_1 * (0.9542, 0.0)
P_7: A + r_1 * (0.9031, 0.0)
P_6: A + r_1 * (0.8451, 0.0)
k = Semicircle(P_6, A)
p = Semicircle(P_7, A)
s = Semicircle(P_8, A)
c_1 = Semicircle(D, D_4)
d_1 = Semicircle(D_4, D_3)
e_1 = Semicircle(D_3, D_2)
f_1 = Semicircle(D_2, D_1)
q = Semicircle(C, C_1)
h_1 = Semicircle(C_1, C_2)
k_1 = Semicircle(C_2, C_3)
p_1 = Semicircle(C_3, C_4)
t = Semicircle(B, A)
文字4: "log" + n + "=" + (lg(n))
C_5: 1.0 / 2.0 * C + 1.0 / 2.0 * E
C_6: 4.0 / 10.0 * C + 6.0 / 10.0 * E
C_7: 3.0 / 10.0 * C + 7.0 / 10.0 * E
C_8: 2.0 / 10.0 * C + 8.0 / 10.0 * E
C_9: 1.0 / 10.0 * C + 9.0 / 10.0 * E
D_6: 4.0 / 10.0 * D + 6.0 / 10.0 * F
D_5: 1.0 / 2.0 * D + 1.0 / 2.0 * F
D_7: 3.0 / 10.0 * D + 7.0 / 10.0 * F
D_8: 2.0 / 10.0 * D + 8.0 / 10.0 * F
D_9: 1.0 / 10.0 * D + 9.0 / 10.0 * F
g_1 = Semicircle(D_1, D_5)
q_1 = Semicircle(D_5, D_6)
s_1 = Semicircle(D_6, D_7)
t_1 = Semicircle(D_7, D_8)
c_2 = Semicircle(D_8, D_9)
d_2 = Semicircle(D_9, F)
e_2 = Semicircle(C_4, C_5)
f_2 = Semicircle(C_5, C_6)
g_2 = Semicircle(C_6, C_7)
h_2 = Semicircle(C_7, C_8)
k_2 = Semicircle(C_8, C_9)
p_2 = Semicircle(C_9, E)