Generating Approximate Pythagorean Angles (III) – A Table for (1/100)°

The previous post provides a worked example of the method.
The next post provides a derivation and proof of the method.

Short Table

θ° ± 0.01° a b c θ° ±%ε
33425 2928 33553 5.006° 62.8%
10° 6351 1120 6449 10.001° 12.9%
15° 1419 380 1469 14.992° −82.8%
20° 66005 24012 70237 19.991° −90.9%
25° 16272 7585 17953 24.992° −79.8%
30° 2911 1680 3361 29.990° −98.4%
35° 7623 5336 9305 34.992° −84.8%
40° 20424 17143 26665 40.009° 86.1%
45° 4059 4060 5741 45.007° 70.6%

A longer table follows

Long Table

θ° ± 0.01° a b c θ° ±%ε
12995 228 12997 1.005° 51.6%
13221 460 13229 1.993° −73.0%
23393 1224 23425 2.995° −48.2%
7387 516 7405 3.996° −42.4%
33425 2928 33553 5.006° 62.8%
29503 3096 29665 5.991° −93.9%
1196 147 1205 7.007° 70.6%
9951 1400 10049 8.008° 83.5%
3936 623 3985 8.994° −57.0%
10° 6351 1120 6449 10.001° 12.9%
11° 9028 1755 9197 11.001° 8.2%
12° 23716 5037 24245 11.991° −92.3%
13° 3080 711 3161 12.999° −13.1%
14° 1600 399 1649 14.003° 25.4%
15° 1419 380 1469 14.992° −82.8%
16° 4015 1152 4177 16.009° 94.6%
17° 3700 1131 3869 16.997° −28.8%
18° 9945 3232 10457 18.004° 35.1%
19° 23736 8177 25105 19.009° 87.2%
20° 66005 24012 70237 19.991° −90.9%
21° 30595 11748 32773 21.006° 60.1%
22° 1247 504 1345 22.007° 70.8%
22.5° 28085 11628 30397 22.491° −90.3%
23° 3337 1416 3625 22.993° −68.7%
24° 6111 2720 6689 23.994° −62.0%
25° 16272 7585 17953 24.992° −79.8%
26° 156813 76516 174485 26.010° 98.0%
27° 589 300 661 26.991° −85.3%
28° 101517 53956 114965 27.991° −94.8%
29° 3139 1740 3589 29.000° 3.3%
30° 2911 1680 3361 29.990° −98.4%
31° 6536 3927 7625 30.999° −14.5%
32° 7636 4773 9005 32.008° 80.8%
33° 665 432 793 33.009° 87.2%
34° 6636 4477 8005 34.006° 57.1%
35° 7623 5336 9305 34.992° −84.8%
36° 1431 1040 1769 36.008° 83.2%
37° 54615 41168 68393 37.008° 84.6%
38° 1640 1281 2081 37.993° −66.9%
39° 2015 1632 2593 39.005° 49.0%
40° 20424 17143 26665 40.009° 86.1%
41° 9849 8560 13049 40.995° −53.2%
42° 8357 7524 11245 41.997° −25.6%
43° 460 429 629 43.003° 28.7%
44° 8201 7920 11401 44.001° 14.0%
45° 4059 4060 5741 45.007° 70.6%
46° 9211 9540 13261 46.005° 51.9%
47° 429 460 629 46.997° −28.7%
48° 13135 14592 19633 48.008° 80.2%
49° 4945 5688 7537 48.997° −28.5%
50° 17143 20424 26665 49.991° −86.1%
51° 1632 2015 2593 50.995° −49.0%
52° 1281 1640 2081 52.007° 66.9%
53° 81345 107912 135137 52.991° −93.0%
54° 1040 1431 1769 53.992° −83.2%
55° 3885 5548 6773 54.998° −17.2%
56° 4477 6636 8005 55.994° −57.1%
57° 432 665 793 56.991° −87.2%
58° 4773 7636 9005 57.992° −80.8%
59° 3927 6536 7625 59.001° 14.5%
60° 1680 2911 3361 60.010° 98.4%
61° 1740 3139 3589 61.000° −3.3%
62° 27639 52000 58889 62.008° 85.0%
63° 300 589 661 63.009° 85.3%
64° 76516 156813 174485 63.990° −98.0%
65° 7585 16272 17953 65.008° 79.8%
66° 3429 7700 8429 65.995° −45.9%
67° 2599 6120 6649 66.990° −96.3%
67.5° 11628 28085 30397 67.509° 90.3%
68° 504 1247 1345 67.993° −70.8%
69° 20069 52260 55981 68.992° −79.0%
70° 44945 123552 131473 70.010° 99.3%
71° 8177 23736 25105 70.991° −87.2%
72° 5307 16324 17165 71.990° −95.6%
73° 1131 3700 3869 73.003° 28.8%
74° 2057 7176 7465 74.005° 50.5%
75° 380 1419 1469 75.008° 82.8%
76° 399 1600 1649 75.997° −25.4%
77° 711 3080 3161 77.001° 13.1%
78° 5037 23716 24245 78.009° 92.3%
79° 1755 9028 9197 78.999° −8.2%
80° 1120 6351 6449 79.999° −12.9%
81° 623 3936 3985 81.006° 57.0%
82° 1400 9951 10049 81.992° −83.5%
83° 147 1196 1205 82.993° −70.6%
84° 3096 29503 29665 84.009° 93.9%
85° 5145 58712 58937 84.992° −81.0%
86° 715 10212 10237 85.995° −50.7%
87° 955 18228 18253 87.001° 9.1%
88° 460 13221 13229 88.007° 73.0%
89° 115 6612 6613 89.004° 35.8%

The previous post provides a worked example of the method.
The next post provides a derivation and proof of the method.

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