TRACT 36
THE WHIRLING-MACHINE.
207
ent sines of the angles of inclination set in the 8th or lastcolumn.
On a slight comparison it soon appears, that the numbersfor the triangular shape, are nearly the same as those for theparallelogram, of equal area; evincing that the difference inthe shape of the plane makes no material difference in theresistance, the area being equal.
58. By interpolation from the foregoing numbers, thefollowing table is deduced, for every single degree of in-clination, accompanied with the correspondent sines of thesame angles.
Anglo
Ratios
!
Sines
Angl.
Ratios
Sines
Angl.
Ratios
Sines
1°
3
17
31°
369
515
61°
895
875
2
6
35
32
392
530
62
903
883
3
10
52
33
415
545
63
911
891
4
14
70
34
438
559
64
918
899
5
18
87
35
461
574
65
925
906
6
23
105
36
484
588
66
932
914
7
28
122
37
507
602
67
938
921
8
34
139
38
531
616
68
944
927
9
40
156
39
555
629
69
950
934
10
46
174
40
579
643
70
956
940
11
53
191
41
602
656
71
961
946
12
61
208
42
623
669
72
966
951
13
70
225
43
643
682
73
970
956
14
80
242
44
663
695
74
974
961
15
91
259
45
682
707
75
9 77
966
16
102
276
46
700
719
76
980
970
n
114
292
47
718
731
77
983
974
18
127
309
48
735
743
78
985
978
19
141
326
49
7 52
755
79
987
982
20
156
343
50
768
766
80
989
985
21
171
358
51
783
777
81
991
988
22
187
375
52
797
788
82
993
9 90
23
204
391
53
810
799
83
995
993
24
222
407
54
822
809
84
997
995
25
241
423
55
833
819
85
99S
996
26
261
438
56
845
829
86
99 9
998
27
282
454
57
856
S39
87
999
99y
28
303
469
58
866
848
88
999
999
29
32 5
481
59
876
857
89
K.00
1000
30
347
500
60
886
866
90
1000
1000