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Quadraat- en Kubiekgetallen, Vierkants- en Derdemachts-Wortels, Cirkelomtrek en Cirkelinhoud.
Getal n |
Vierkant n2 |
Derdemacht n3 |
Vierkantswortel |
Derde machtsw. |
1 |
1 |
1 |
1,000 |
1,000 |
2 |
4 |
8 |
1,414 |
1,260 |
3 |
9 |
27 |
1,732 |
1,442 |
4 |
16 |
64 |
2,000 |
1,587 |
5 |
25 |
125 |
2,236 |
1,710 |
|
|
|
|
|
6 |
36 |
216 |
2,449 |
1,817 |
7 |
49 |
343 |
2,646 |
1,913 |
8 |
64 |
512 |
2,828 |
2,000 |
9 |
81 |
729 |
3,000 |
2,080 |
10 |
100 |
1000 |
3,162 |
2,154 |
|
|
|
|
|
11 |
121 |
1331 |
3,317 |
2,224 |
12 |
144 |
1728 |
3,464 |
2,289 |
13 |
169 |
2197 |
3,606 |
2,351 |
14 |
196 |
2744 |
3,742 |
2,410 |
15 |
225 |
3375 |
3,873 |
2,466 |
|
|
|
|
|
16 |
256 |
4096 |
4,000 |
2,520 |
17 |
289 |
4913 |
4,123 |
2,571 |
18 |
324 |
5832 |
4,243 |
2,621 |
19 |
361 |
6859 |
4,359 |
2,668 |
20 |
400 |
8000 |
4,472 |
2,714 |
|
|
|
|
|
21 |
441 |
9261 |
4,583 |
2,759 |
22 |
484 |
10648 |
4,690 |
2,802 |
23 |
529 |
12167 |
4,796 |
2,844 |
24 |
576 |
13824 |
4,899 |
2,884 |
25 |
625 |
15625 |
5,000 |
2,924 |
|
|
|
|
|
26 |
676 |
17576 |
5,099 |
2,962 |
27 |
729 |
19683 |
5,196 |
3,000 |
28 |
784 |
21952 |
5,291 |
3,037 |
29 |
841 |
24389 |
5,385 |
3,072 |
30 |
900 |
27000 |
5,477 |
3,107 |
Cirkelomtrek |
Cirkelinh. |
Middell. cir. d |
3,14 |
0,79 |
1 |
6,28 |
3,14 |
2 |
9,42 |
7,07 |
3 |
12,57 |
12,57 |
4 |
15,71 |
19,63 |
5 |
|
|
|
18,85 |
28,27 |
6 |
21,99 |
38,48 |
7 |
25,13 |
50,27 |
8 |
28,27 |
63,62 |
9 |
31,42 |
78,54 |
10 |
|
|
|
34,56 |
95,03 |
11 |
37,70 |
113,10 |
12 |
40,84 |
132,73 |
13 |
43,98 |
153,94 |
14 |
47,12 |
176,71 |
15 |
|
|
|
50,27 |
201,06 |
16 |
53,41 |
226,98 |
17 |
56,55 |
254,47 |
18 |
59,69 |
283,53 |
19 |
62,83 |
314,16 |
20 |
|
|
|
65,97 |
346,36 |
21 |
69,12 |
380,13 |
22 |
72,26 |
415,48 |
23 |
75,40 |
452,39 |
24 |
78,54 |
490,87 |
25 |
|
|
|
81,68 |
530,93 |
26 |
84,82 |
572,56 |
27 |
87,96 |
615,75 |
28 |
91,11 |
660,52 |
29 |
94,25 |
706.86 |
30 |
| |
| |
Getal n |
Vierkant n2 |
Derdemacht n3 |
Vierkantswortel |
Derde machtsw. |
31 |
961 |
29791 |
5,568 |
3,141 |
32 |
1024 |
32768 |
5,657 |
3,175 |
33 |
1089 |
35937 |
5,745 |
3,207 |
34 |
1156 |
39304 |
5,831 |
3,240 |
35 |
1225 |
42875 |
5,945 |
3,271 |
|
|
|
|
|
36 |
1296 |
46656 |
6,000 |
3,302 |
37 |
1369 |
50653 |
6,083 |
3,332 |
38 |
1444 |
54872 |
6,164 |
3,362 |
39 |
1521 |
59319 |
6,245 |
3,391 |
40 |
1600 |
64000 |
6,325 |
3,420 |
|
|
|
|
|
41 |
1681 |
68921 |
6,403 |
3,448 |
42 |
1764 |
74088 |
6,481 |
3,476 |
43 |
1849 |
79507 |
6,557 |
3,503 |
44 |
1936 |
85184 |
6,633 |
3,530 |
45 |
2025 |
91125 |
6,708 |
3,557 |
|
|
|
|
|
46 |
2116 |
97336 |
6,782 |
3,583 |
47 |
2209 |
103823 |
6,856 |
3,609 |
48 |
2304 |
110592 |
6,928 |
3,634 |
49 |
2401 |
117649 |
7,000 |
3,659 |
50 |
2500 |
125000 |
7,071 |
3,684 |
|
|
|
|
|
51 |
2601 |
132651 |
7,141 |
3,708 |
52 |
2704 |
140608 |
7,211 |
3,732 |
53 |
2809 |
148877 |
7,280 |
3,756 |
54 |
2916 |
157464 |
7,349 |
3,780 |
55 |
3025 |
166375 |
7,416 |
3,803 |
|
|
|
|
|
56 |
3136 |
175616 |
7,483 |
3,826 |
57 |
3249 |
185193 |
7,550 |
3,848 |
58 |
3364 |
195112 |
7,616 |
3,871 |
59 |
3481 |
205379 |
7,681 |
3,893 |
60 |
3600 |
216000 |
7,746 |
3,915 |
|
|
|
|
|
61 |
3721 |
226981 |
7,810 |
3,936 |
62 |
3844 |
238328 |
7,874 |
3,958 |
63 |
3969 |
250047 |
7,937 |
3,979 |
64 |
4096 |
262144 |
8,000 |
4,000 |
65 |
4225 |
274625 |
8,062 |
4,021 |
Cirkelomtrek |
Cirkelinh. |
Middell. cir. d |
97,39 |
754,77 |
31 |
100,53 |
804,25 |
32 |
103,67 |
855,30 |
33 |
106,81 |
907,92 |
34 |
109,96 |
962,12 |
35 |
|
|
|
113,10 |
1017,88 |
36 |
116,24 |
1075,21 |
37 |
119,38 |
1134,11 |
38 |
122,52 |
1194,59 |
39 |
125,66 |
1256,63 |
40 |
|
|
|
128,81 |
1320,25 |
41 |
131,95 |
1385,44 |
42 |
135,09 |
1452,20 |
43 |
138,23 |
1520,53 |
44 |
141,37 |
1590,43 |
45 |
|
|
|
144,51 |
1661,90 |
46 |
147,65 |
1734,94 |
47 |
150,80 |
1809,56 |
48 |
153,94 |
1885,74 |
49 |
157,08 |
1963,50 |
50 |
|
|
|
160,22 |
2042,82 |
51 |
163,36 |
2123,72 |
52 |
166,50 |
2206,18 |
53 |
169,65 |
2290,22 |
54 |
172,79 |
2375,83 |
55 |
|
|
|
175,93 |
2463,01 |
56 |
179,07 |
2551,76 |
57 |
182,21 |
2642,08 |
58 |
185.35 |
2733,97 |
59 |
188,50 |
2827,43 |
60 |
|
|
|
191,64 |
2922,47 |
61 |
194,78 |
3019,07 |
62 |
197,92 |
3117,25 |
63 |
201,06 |
3216,99 |
64 |
204,20 |
3318,31 |
65 |
| |
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Getal n |
Vierkant n2 |
Derdemacht n3 |
Vierkantswortel |
Derde machtsw. |
66 |
4356 |
287496 |
8,124 |
4,041 |
67 |
4489 |
300763 |
8,185 |
4,061 |
68 |
4624 |
314432 |
8,246 |
4,082 |
69 |
4761 |
328509 |
8,307 |
4,102 |
70 |
4900 |
343000 |
8,367 |
4,121 |
|
|
|
|
|
71 |
5041 |
357911 |
8,426 |
4,141 |
72 |
5184 |
373248 |
8,485 |
4,160 |
73 |
5329 |
389017 |
8,544 |
4,179 |
74 |
5476 |
405224 |
8,602 |
4,198 |
75 |
5625 |
421875 |
8,660 |
4,217 |
|
|
|
|
|
76 |
5776 |
438976 |
8,718 |
4,236 |
77 |
5929 |
456533 |
8,775 |
4,254 |
78 |
6084 |
474552 |
8,832 |
4,273 |
79 |
6241 |
493039 |
8,888 |
4,291 |
80 |
6400 |
512900 |
8,944 |
4,309 |
|
|
|
|
|
81 |
6561 |
531441 |
9,000 |
4,327 |
82 |
6724 |
55168 |
9,055 |
4,344 |
83 |
6889 |
571787 |
9,110 |
4,362 |
84 |
7056 |
592704 |
9,165 |
4,379 |
85 |
7225 |
614125 |
9,219 |
4,397 |
|
|
|
|
|
86 |
7396 |
636056 |
9.274 |
4,414 |
87 |
7569 |
658503 |
9,327 |
4,431 |
88 |
7744 |
681472 |
9,381 |
4,448 |
89 |
7921 |
704969 |
9,434 |
4,461 |
90 |
8100 |
729000 |
9,487 |
4,481 |
|
|
|
|
|
91 |
8281 |
753571 |
9,539 |
4,498 |
92 |
8464 |
778688 |
9,592 |
4,514 |
93 |
8649 |
804357 |
9,644 |
4,531 |
94 |
8836 |
830584 |
9,695 |
4,547 |
95 |
9025 |
857375 |
9,747 |
4,563 |
|
|
|
|
|
96 |
9216 |
884736 |
9,798 |
4,579 |
97 |
9409 |
912673 |
9,S49 |
4,595 |
98 |
9604 |
941192 |
9,899 |
4,610 |
99 |
9801 |
970299 |
9,950 |
4,626 |
100 |
10000 |
1000000 |
10,000 |
4,642 |
Cirkelomtrek |
Cirkelinh. |
Middell. cir. d |
207,35 |
3421,19 |
66 |
210,49 |
3525,65 |
67 |
213,63 |
3631,68 |
68 |
216,77 |
3739,28 |
69 |
219,91 |
3848,45 |
70 |
|
|
|
223,05 |
3959,20 |
71 |
226,19 |
4071,51 |
72 |
229,34 |
4185,39 |
73 |
232,48 |
4300,85 |
74 |
235,62 |
4417,86 |
75 |
|
|
|
238,76 |
4536,46 |
76 |
240,90 |
4656 63 |
77 |
245,04 |
4778,36 |
78 |
248,19 |
4901,67 |
79 |
251,33 |
5026,55 |
80 |
|
|
|
254,47 |
5153,00 |
81 |
257,61 |
5281,01 |
82 |
260,75 |
5410,61 |
83 |
263,89 |
5541,77 |
84 |
267,04 |
5674,50 |
85 |
|
|
|
270,18 |
5808,80 |
86 |
273,32 |
5944,68 |
87 |
276,46 |
6082,12 |
88 |
279,60 |
6221,14 |
89 |
282,74 |
6361,73 |
90 |
|
|
|
2S5,88 |
6503,89 |
91 |
289,03 |
6647,62 |
92 |
292,17 |
6792,92 |
93 |
295,31 |
6939,79 |
94 |
298,45 |
7088,23 |
95 |
|
|
|
301,59 |
7288,24 |
96 |
304,73 |
7389,82 |
97 |
307,88 |
7542,98 |
98 |
311.02 |
7697,70 |
99 |
314,16 |
7854,00 |
100 |
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Koordentafel. De straal als cenheid aannemende.
Aantal Graden |
Lengte der Koorde |
1 |
0,01745 |
2 |
,03490 |
3 |
,05235 |
4 |
,06980 |
5 |
,08724 |
6 |
,10467 |
7 |
,12210 |
8 |
,13951 |
9 |
,15692 |
10 |
,17431 |
11 |
,19169 |
12 |
,20906 |
13 |
,22641 |
14 |
,24374 |
15 |
,26105 |
16 |
,27835 |
17 |
,29562 |
18 |
,31287 |
19 |
,33010 |
20 |
,34730 |
21 |
,36447 |
22 |
,38162 |
23 |
,39874 |
24 |
,41582 |
25 |
,43288 |
26 |
,44990 |
27 |
,46689 |
28 |
,48384 |
29 |
,50076 |
30 |
,51764 |
31 |
,53448 |
32 |
,55127 |
33 |
,56803 |
34 |
,58474 |
35 |
,60141 |
36 |
,61803 |
37 |
0,63461 |
38 |
,65114 |
39 |
,66761 |
40 |
,68404 |
41 |
,70041 |
42 |
,71674 |
43 |
,73300 |
44 |
,74921 |
45 |
,76537 |
46 |
,78146 |
47 |
79750 |
48 |
,81347 |
49 |
,82939 |
50 |
,84524 |
51 |
,86102 |
52 |
,87674 |
53 |
,89240 |
54 |
,90798 |
55 |
,92350 |
56 |
,93894 |
57 |
,95432 |
58 |
,96962 |
59 |
,98485 |
60 |
1,00000 |
61 |
,01508 |
62 |
,03008 |
63 |
,04500 |
64 |
,05984 |
65 |
,07460 |
66 |
,08928 |
67 |
,10387 |
68 |
,11839 |
69 |
13241 |
70 |
,14715 |
71 |
,16141 |
72 |
,17557 |
73 |
1,18965 |
74 |
,20363 |
75 |
,21752 |
76 |
,23132 |
77 |
,24503 |
78 |
,25864 |
79 |
,27216 |
80 |
,28558 |
81 |
,29890 |
82 |
,31212 |
83 |
,32524 |
84 |
,33826 |
85 |
,35118 |
86 |
,36400 |
87 |
,37671 |
88 |
,38932 |
89 |
,40182 |
90 |
,41421 |
91 |
,42650 |
92 |
,43868 |
93 |
,45075 |
94 |
,46271 |
95 |
,47455 |
96 |
,48629 |
97 |
,49791 |
98 |
,50942 |
99 |
,52081 |
100 |
,53209 |
101 |
,54325 |
102 |
,55429 |
103 |
,56522 |
104 |
,57603 |
105 |
,58671 |
106 |
,59727 |
107 |
,60771 |
108 |
,61803 |
109 |
1,62823 |
110 |
,63830 |
111 |
,64825 |
112 |
,65808 |
113 |
,66777 |
114 |
,67734 |
115 |
,68678 |
116 |
,69610 |
117 |
,70528 |
118 |
,71433 |
119 |
,72326 |
120 |
,73205 |
121 |
,74071 |
122 |
,74924 |
123 |
,75763 |
124 |
,76590 |
125 |
,77402 |
126 |
,78201 |
127 |
,78987 |
128 |
,79759 |
129 |
,80517 |
130 |
,81262 |
131 |
,81992 |
132 |
,82709 |
133 |
,83412 |
134 |
,84101 |
135 |
,84776 |
136 |
,85437 |
137 |
,86084 |
138 |
,86716 |
139 |
,87334 |
140 |
,87939 |
141 |
,88528 |
142 |
,89104 |
143 |
,89665 |
144 |
,90211 |
| |
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Aantal Graden |
Lengte der Koorde |
145 |
1,90743 |
146 |
,91261 |
147 |
,91764 |
148 |
,92252 |
149 |
,92726 |
150 |
,93185 |
151 |
,93630 |
152 |
,94059 |
153 |
,94474 |
154 |
1,94874 |
155 |
,95259 |
156 |
,95630 |
157 |
,95985 |
158 |
,96325 |
159 |
,96651 |
160 |
,96962 |
161 |
,97257 |
162 |
,97538 |
163 |
1,97803 |
164 |
,98054 |
165 |
,98289 |
166 |
,98509 |
167 |
,98714 |
168 |
,98904 |
169 |
,99079 |
170 |
,99239 |
171 |
,99383 |
172 |
1,99513 |
173 |
,99627 |
174 |
,99726 |
175 |
,99810 |
176 |
,99878 |
177 |
,99931 |
178 |
,99970 |
179 |
,99992 |
180 |
2,00000 |
Aanmerking. De koorde van een hoek, grooter dan 180°. is gelijk aan de koorde van het supplement van dien hoek.
B.v. Koorde 200°=koorde (360°-200°)=koorde 160°=1,96962.
De koordentafel kan gebruikt worden om, zonder graadboog, nauwkeurig met behulp van passer en meetliniaal, hoeken uit te zetten. Men beschrijft daartoe met een straal van 1 dM. een cirkelboog en zet daarop uit de koorde van den gevraagden hoek. Door de uiteinden van de koorde met het middenpunt te vereenigen, verkrijgt men den hoek.
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