ヘロンの三角形、４，５

ヘロンの三角形　wikipediaのリストより長めに
三辺、周長、面積
3,4,5,12,6
5,5,6,16,12
5,5,8,18,12
4,13,15,32,24
5,12,13,30,30
9,10,17,36,36
3,25,26,54,36
7,15,20,42,42
10,13,13,36,60
8,15,17,40,60
13,13,24,50,60
6,25,29,60,60
11,13,20,44,66
5,29,30,64,72
13,14,15,42,84
10,17,21,48,84
7,24,25,56,84
8,29,35,72,84
12,17,25,54,90
4,51,53,108,90
19,20,37,76,114
16,17,17,50,120
17,17,30,64,120
16,25,39,80,120
13,20,21,54,126
15,28,41,84,126
5,51,52,108,126
11,25,30,66,132
15,26,37,78,156
13,40,51,104,156
14,25,25,64,168
10,35,39,84,168
25,25,48,98,168
13,30,37,80,180
9,40,41,90,180
12,55,65,132,198
17,25,26,68,204
20,21,29,70,210
17,25,28,70,210
17,28,39,84,210
12,35,37,84,210
7,65,68,140,210
3,148,149,300,210
9,73,80,162,216
15,41,52,108,234
13,37,40,90,240
15,34,35,84,252
13,40,45,98,252
9,65,70,144,252
15,37,44,96,264
33,34,65,132,264
27,29,52,108,270
17,65,80,162,288
25,51,74,150,300
5,122,123,250,300
20,37,51,108,306
17,39,44,100,330
25,33,52,110,330
11,60,61,132,330
11,100,109,220,330
17,40,41,98,336
24,35,53,112,336
15,52,61,128,336
4,193,195,392,336
25,29,36,90,360
18,41,41,100,360
41,41,80,162,360
13,68,75,156,390
34,55,87,176,396
11,90,97,198,396
13,109,120,242,396
20,51,65,136,408
29,29,40,98,420
25,34,39,98,420
24,37,37,98,420
29,29,42,100,420
26,35,51,112,420
21,41,50,112,420
25,39,56,120,420
14,61,65,140,420
37,37,70,144,420
26,51,73,150,420
41,50,89,180,420
26,73,97,196,420
21,85,104,210,420
15,106,119,240,420
7,169,174,350,420
25,38,51,114,456
19,60,73,152,456
39,58,95,192,456
17,55,60,132,462
35,44,75,154,462
25,39,40,104,468
8,123,125,256,480
29,35,48,112,504
16,63,65,144,504
28,85,111,224,504
51,52,101,204,510
17,87,100,204,510
29,60,85,174,522
20,53,55,128,528
25,97,120,242,528
29,52,75,156,546
28,65,89,182,546
13,84,85,182,546
39,76,113,228,570
25,51,52,128,624
53,65,116,234,624
28,45,53,126,630
25,52,63,140,630
21,61,68,150,630
36,91,125,252,630
12,137,145,294,630
33,41,58,132,660
26,51,55,132,660
22,61,61,144,660
33,58,85,176,660
61,61,120,242,660
19,153,170,342,684
29,52,69,150,690
25,92,113,230,690
51,53,100,204,714
17,105,116,238,714
5,291,292,588,714
37,39,52,128,720
32,53,75,160,720
25,136,159,320,720
34,65,93,192,744
25,63,74,162,756
17,89,90,196,756
39,41,50,130,780
29,78,101,208,780
17,104,113,234,780
13,122,125,260,780
45,100,143,288,792
41,60,95,196,798
35,52,73,160,840
26,75,91,192,840
21,82,89,192,840
51,52,97,200,840
35,73,102,210,840
25,84,101,210,840
21,89,100,210,840
28,87,109,224,840
15,112,113,240,840
51,97,146,294,840
13,150,157,320,840
13,244,255,512,864
73,74,145,292,876
17,113,120,250,900
35,53,66,154,924
33,56,65,154,924
40,51,77,168,924
39,55,82,176,924
25,74,77,176,924
22,85,91,198,924
58,65,119,242,924
26,123,145,294,924
15,136,143,294,924
14,157,165,336,924
31,68,87,186,930
31,156,185,372,930

• • • • • • • • • • • • • • • • • • • • • • • • • • • -

atan（a / r）+ atan（b /r）+ atan（c / r）+atan(d/r)=π
になる自然数の組{a,b,c,d,r}
1,1,1,1,1
1,2,2,4,2
1,1,4,4,2
1,3,4,6,3
2,3,6,7,4
1,3,3,9,3
4,6,6,9,6
1,1,9,9,3
4,4,9,9,6
3,6,7,10,6
2,7,8,10,6
1,2,4,11,3
4,6,9,11,7
2,3,4,12,4
3,4,9,12,6
6,7,12,13,9
3,12,12,13,9
1,1,2,14,2
1,3,12,14,5
1,12,12,14,8
1,7,14,14,7
6,10,11,15,10
2,12,13,15,9
2,3,14,15,6
1,4,4,16,4
1,2,8,16,4
9,12,12,16,12
7,10,13,16,11
1,1,16,16,4
9,9,16,16,12
3,3,9,17,6
1,9,9,17,7
2,4,9,18,6
6,7,9,18,9
2,3,12,18,6
2,9,15,18,9
8,9,16,18,12
9,11,16,18,13
2,6,15,19,8
3,7,15,19,9
4,6,9,20,8
1,9,12,20,8
3,6,17,20,9
6,7,8,21,9
3,8,12,21,9
2,8,15,21,9
10,15,16,21,15
4,12,18,21,12
3,14,18,21,12
7,14,18,21,14
12,13,20,21,16
5,9,21,21,12
2,3,3,22,4
3,4,6,22,6
11,15,18,22,16
1,4,19,22,7
2,11,14,23,10
2,13,16,23,11
6,16,21,23,15
6,12,22,23,14
1,2,3,24,3
2,3,10,24,6
1,6,11,24,7
1,8,12,24,8
2,10,15,24,10
6,9,16,24,12
3,14,16,24,12
3,10,17,24,11
5,8,21,24,12
13,16,21,24,18
8,15,22,24,16
1,5,5,25,5
4,10,10,25,10
9,15,15,25,15
4,5,20,25,10
16,20,20,25,20
1,1,25,25,5
4,4,25,25,10
9,9,25,25,15
16,16,25,25,20
3,4,9,26,7
4,4,11,26,8
6,9,15,26,12
4,12,15,26,12
3,14,15,26,12
1,3,24,26,7
9,18,24,26,18
3,3,7,27,6
1,2,12,27,5
8,10,18,27,14
3,7,23,27,11
6,10,23,27,14
16,18,25,27,21
8,9,26,27,15
6,6,11,28,10
2,2,13,28,6
11,12,18,28,16
1,14,20,28,12
5,12,21,28,14
2,18,21,28,14
15,21,22,28,21
1,12,24,28,12
1,4,25,28,8
12,21,27,28,21
1,1,5,29,3
7,8,10,29,11
10,12,15,29,15
2,8,23,29,11
6,12,23,29,15
16,21,24,29,22
2,3,9,30,6
12,14,21,30,18
4,20,21,30,16
9,11,28,30,17
9,20,28,30,20
4,21,30,30,18
4,4,10,31,8
7,19,19,31,17
4,8,20,31,12
19,20,20,31,22
3,9,21,31,12
3,8,24,31,12
18,22,27,31,24
20,21,30,31,25
2,7,13,32,9
16,23,28,32,24
5,8,29,32,14
4,13,32,32,16
1,2,6,33,4
6,6,7,33,9
2,2,12,33,6
2,6,15,33,9
4,11,18,33,13
6,19,20,33,17
15,18,22,33,21
9,17,25,33,19
2,3,32,33,9
11,19,33,33,22
5,8,16,34,12
5,12,18,34,14
1,16,19,34,13
5,6,21,34,12
3,24,26,34,18
3,21,30,34,18
3,6,31,34,12
21,24,31,34,27
7,26,32,34,22
1,4,14,35,7
6,9,16,35,13
7,7,23,35,14
2,14,23,35,14
3,15,23,35,15
14,16,25,35,21
8,17,26,35,19
4,25,26,35,19
4,6,33,35,13
12,14,33,35,21
7,21,33,35,21
1,6,6,36,6
1,4,9,36,6
1,3,12,36,6
3,12,14,36,12
2,4,15,36,8
4,9,16,36,12
1,2,18,36,6
3,16,21,36,15
12,17,22,36,20
1,9,28,36,12
9,17,28,36,20
3,12,29,36,15
21,28,29,36,28
25,30,30,36,30
3,18,34,36,18
18,24,34,36,27
1,1,36,36,6
25,25,36,36,30
16,29,36,36,28

• • • • • • • • • • • • • • -

atan(a/r)+atan(b/r)+atan(c/r)+atan(d/r)+atan(e/r)=π
になる自然数の組{a,b,c,d,e,r}
1,1,3,3,4,3
2,2,3,4,4,4
2,3,6,6,6,6
2,3,3,3,7,1
2,2,2,3,8,4
2,2,3,5,8,1
1,3,5,7,8,1
1,1,1,4,9,3
2,3,4,6,9,6
1,4,7,7,9,7
2,2,4,8,9,6
4,6,6,8,9,2
3,6,7,9,9,9
2,3,3,7,10,6
3,6,8,9,10,2
4,4,8,9,11,2
2,6,10,10,11,10
3,7,10,11,11,11
1,1,5,5,12,5
2,3,3,6,12,6
2,2,3,8,12,6
1,4,8,8,12,8
5,8,8,12,12,12
2,2,3,4,13,1
1,3,4,7,13,1
3,6,6,10,14,2
4,4,6,11,14,2
2,8,9,11,14,2
3,4,10,11,14,2
3,6,12,12,14,12
2,6,11,14,14,2
5,8,12,14,14,14
2,2,8,8,15,8
2,3,9,9,15,9
6,9,9,11,15,3
5,9,11,12,15,3
8,9,9,15,15,15
4,11,11,15,15,3
3,10,15,15,15,15
1,2,2,3,16,4
5,8,8,9,16,12
6,6,9,9,16,12
2,8,9,10,16,2
3,4,10,10,16,2
1,4,4,12,16,8
4,6,9,12,16,12
1,9,13,13,16,13
3,6,9,14,16,12
3,4,12,14,16,12
3,3,14,14,16,12
2,2,4,15,16,8
4,4,9,16,16,12
4,12,13,16,16,16
1,3,3,12,17,1
2,2,3,6,18,6
2,2,2,8,18,1
1,2,7,8,18,1
5,8,8,8,18,12
6,6,8,9,18,12
3,6,8,14,18,12
7,7,8,14,18,14
2,11,16,16,18,16
4,13,16,18,18,18
6,7,17,17,19,17
6,6,9,18,19,3
5,6,12,18,19,3
3,11,15,18,19,3
7,10,16,18,19,4
8,9,17,19,19,19
2,5,6,11,20,10
8,10,12,19,20,4
12,14,14,20,20,5
6,10,19,20,20,4
5,12,20,20,20,20
5,6,8,9,21,12
4,5,8,12,21,12
5,9,9,12,21,3
1,2,5,13,21,1
3,5,8,14,21,12
4,9,11,15,21,3
3,10,10,16,21,15
9,9,13,16,21,18
4,4,6,18,21,12
4,6,18,19,21,3
3,9,18,19,21,3
8,8,20,20,21,20
4,4,5,21,21,12
4,9,9,21,21,3
9,9,20,21,21,21
2,3,3,4,22,6
6,7,9,12,22,3
5,7,12,12,22,3
17,18,18,18,22,6
4,7,12,21,22,3
3,15,21,21,22,21
4,16,21,22,22,22
2,3,11,11,23,11
6,7,7,14,23,14
2,6,14,14,23,14
3,6,15,15,23,15
3,4,6,18,23,2
3,3,10,18,23,2
2,4,16,18,23,2
1,14,16,18,23,2
11,14,15,23,23,23
4,5,6,6,24,2
1,1,7,7,24,7
5,6,8,8,24,12
3,5,6,10,24,2
4,4,5,11,24,2
8,12,12,13,24,4
3,6,6,14,24,12
2,5,11,14,24,2
5,6,12,15,24,3
3,11,15,15,24,3
2,5,10,16,24,2
1,12,18,18,24,18
7,10,13,19,24,4
2,2,5,20,24,10
6,12,13,20,24,4
4,6,15,21,24,3
2,18,19,21,24,3
21,21,21,21,24,7
8,8,13,22,24,4
7,18,18,24,24,24
2,15,21,24,24,3
8,9,9,9,25,15
2,4,6,11,25,10
1,1,1,12,25,5
2,6,9,12,25,2
3,9,10,15,25,15
10,10,15,16,25,20
7,14,16,18,25,21
4,9,19,19,25,19
5,5,9,20,25,15
10,14,15,20,25,5
5,12,16,20,25,20
8,8,16,21,25,20
1,16,21,21,25,21
4,12,16,22,25,20
3,6,9,23,25,15
2,2,4,24,25,10
10,15,19,25,25,25
5,20,21,25,25,25
2,8,8,9,26,2
3,4,8,10,26,2
9,9,12,14,26,18
4,4,6,15,26,12
9,9,9,18,26,18
3,14,22,22,26,22
2,5,8,24,26,2
6,9,9,24,26,18
2,4,12,25,26,2
1,12,14,25,26,2
7,18,22,26,26,26
3,3,6,7,27,9
6,6,9,14,27,3
5,6,12,14,27,3
6,12,12,14,27,18
2,3,3,15,27,9
3,11,14,15,27,3
4,12,13,16,27,18
4,6,14,21,27,3
3,9,14,21,27,3
7,10,23,23,27,23
1,12,12,24,27,18
14,15,18,24,27,6
2,14,21,24,27,3
2,18,24,24,27,24
10,18,24,24,27,6
11,14,23,27,27,27
5,21,24,27,27,27
8,24,24,27,27,6