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طول الوتر بدلالة زاويته المركزية لدائرة نصف قطرها الوحدة (نصف
القطر ≠ الوحدة نضرب الناتج في نصف القطر الجديد)
والعكس صحيح أنظر المثال والقانون المستخدم لإنشاء الجدول
هو: Chord = √2 - 2cos |
الزاوية |
|
استبدل قيمة نصف القطر والزاوية بالإمكان ادخال أي زاوية بالدرجات
والناتج مقرب لكسر عشري واحد |
إعداد
محمد شكري |
|
|
54 |
48 |
42 |
36 |
30 |
24 |
18 |
12 |
6 |
0 |
الدقيقة ¯ |
|
حساب
خاص لزاوية منفرجة او غير ذلك |
|
|
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.4 |
0.3 |
0.2 |
0.1 |
0.0 |
الدرجة ˚ |
|
R |
37.3 |
نصف القطر |
معطي |
|
|
¯ طول الوتر حسب قيمة زاويته المركزية المبينة ¯ |
الزاوية ¯ |
|
DEGREE |
95 |
الزاوية المنفرجة |
|
|
0.01571 |
0.01396 |
0.01222 |
0.01047 |
0.00873 |
0.00698 |
0.00524 |
0.00349 |
0.00175 |
0.00000 |
0 |
|
CHORD |
55.0 |
طول الوتر |
الناتج |
|
|
0.03316 |
0.03141 |
0.02967 |
0.02792 |
0.02618 |
0.02443 |
0.02269 |
0.02094 |
0.01920 |
0.01745 |
1 |
|
|
|
|
|
|
|
0.05061 |
0.04886 |
0.04712 |
0.04537 |
0.04363 |
0.04188 |
0.04014 |
0.03839 |
0.03665 |
0.03490 |
2 |
|
أوجد
طول وتر زاويته المركزية 18¢
25˚ ونصف قطر |
مثال: |
|
|
0.06805 |
0.06631 |
0.06457 |
0.06282 |
0.06108 |
0.05933 |
0.05759 |
0.05584 |
0.05410 |
0.05235 |
3 |
|
دائرته 6 سم. |
|
|
|
0.08550 |
0.08375 |
0.08201 |
0.08026 |
0.07852 |
0.07678 |
0.07503 |
0.07329 |
|
0.06980 |
4 |
|
من الجدول الزاوية 18¢ 25˚ تقابل 0.43799 فيكون: |
|
|
|
0.10293 |
0.10119 |
0.09944 |
0.09770 |
0.09596 |
0.09421 |
0.09247 |
0.09073 |
0.08898 |
0.08724 |
5 |
|
طول الوتر = 6 × 0.43799 = 2.6 سم تقريباً |
|
|
|
0.12035 |
0.11861 |
0.11687 |
0.11513 |
0.11339 |
0.11164 |
0.10990 |
0.10816 |
0.10641 |
0.10467 |
6 |
|
Chord = √2-2cos25.3 = 2.6 |
أو |
|
|
0.13777 |
0.13603 |
0.13429 |
0.13255 |
0.13081 |
0.12906 |
0.12732 |
0.12558 |
0.12384 |
0.12210 |
7 |
|
أوجد زاوية وتر طوله 2.63 لدائرة نصف قطرها =
6سم |
مثال: |
|
|
0.15518 |
0.15344 |
0.15170 |
0.14996 |
0.14822 |
0.14648 |
0.14474 |
0.14299 |
0.14125 |
0.13951 |
8 |
|
2.63÷6=0.438 in table is: α = 25˚ 18¢ |
|
|
|
0.17257 |
0.17083 |
0.16909 |
0.16736 |
0.16562 |
0.16388 |
0.16214 |
0.16040 |
0.15866 |
0.15692 |
9 |
|
|
|
|
|
|
0.18995 |
0.18822 |
0.18648 |
0.18474 |
0.18300 |
0.18127 |
0.17953 |
0.17779 |
0.17605 |
0.17431 |
10 |
|
|
|
|
|
|
|
0.20732 |
0.20558 |
0.20385 |
0.20211 |
0.20038 |
0.19864 |
0.19690 |
0.19517 |
0.19343 |
0.19169 |
11 |
|
BACK |
|
|
|
|
|
0.22467 |
0.22294 |
0.22120 |
0.21947 |
0.21773 |
0.21600 |
0.21426 |
0.21253 |
0.21079 |
0.20906 |
12 |
|
|
|
|
|
|
|
0.24201 |
0.24027 |
0.23854 |
0.23681 |
0.23507 |
0.23334 |
0.23161 |
0.22987 |
0.22814 |
0.22641 |
13 |
|
|
|
|
|
|
|
0.25932 |
0.25759 |
0.25586 |
0.25413 |
0.25240 |
0.25067 |
0.24893 |
0.24720 |
0.24547 |
0.24374 |
14 |
|
|
|
|
|
|
|
0.27662 |
0.27489 |
0.27316 |
0.27143 |
0.26970 |
0.26797 |
0.26624 |
0.26451 |
0.26278 |
0.26105 |
15 |
|
|
|
|
|
|
|
0.29389 |
0.29217 |
0.29044 |
0.28871 |
0.28699 |
0.28526 |
0.28353 |
0.28180 |
0.28007 |
0.27835 |
16 |
|
|
|
|
|
|
|
0.31114 |
0.30942 |
0.30770 |
0.30597 |
0.30425 |
0.30252 |
0.30080 |
0.29907 |
0.29734 |
0.29562 |
17 |
|
|
|
|
|
|
|
0.32837 |
0.32665 |
0.32493 |
0.32321 |
0.32148 |
0.31976 |
0.31804 |
0.31632 |
0.31459 |
0.31287 |
18 |
|
|
|
|
|
|
|
0.34558 |
0.34386 |
0.34214 |
0.34042 |
0.33870 |
0.33698 |
0.33526 |
0.33354 |
0.33182 |
0.33009 |
19 |
|
|
|
|
|
|
|
0.36275 |
0.36104 |
0.35932 |
0.35760 |
0.35589 |
0.35417 |
0.35245 |
0.35073 |
0.34901 |
0.34730 |
20 |
|
|
|
|
|
|
|
0.37990 |
0.37819 |
0.37648 |
0.37476 |
0.37305 |
0.37133 |
0.36962 |
0.36790 |
0.36619 |
0.36447 |
21 |
|
|
|
|
|
|
|
0.39703 |
0.39531 |
0.39360 |
0.39189 |
0.39018 |
0.38847 |
0.38676 |
0.38504 |
0.38333 |
0.38162 |
22 |
|
|
|
|
|
|
|
0.41412 |
0.41241 |
0.41070 |
0.40899 |
0.40728 |
0.40557 |
0.40387 |
0.40216 |
0.40045 |
0.39874 |
23 |
|
|
|
|
|
|
|
0.43117 |
0.42947 |
0.42777 |
0.42606 |
0.42435 |
0.42265 |
0.42094 |
0.41924 |
0.41753 |
0.41582 |
24 |
|
|
|
|
|
|
|
0.44820 |
0.44650 |
0.44480 |
0.44310 |
0.44139 |
0.43969 |
0.43799 |
0.43629 |
0.43458 |
0.43288 |
25 |
|
|
|
|
|
|
|
0.46519 |
0.46350 |
0.46180 |
0.46010 |
0.45840 |
0.45670 |
0.45500 |
0.45330 |
0.45160 |
0.44990 |
26 |
|
|
|
|
|
|
|
0.48215 |
0.48046 |
0.47876 |
0.47707 |
0.47537 |
0.47368 |
0.47198 |
0.47028 |
0.46859 |
0.46689 |
27 |
|
|
|
|
|
|
|
0.49907 |
0.49738 |
0.49569 |
0.49400 |
0.49231 |
0.49061 |
0.48892 |
0.48723 |
0.48554 |
0.48384 |
28 |
|
|
|
|
|
|
|
0.51595 |
0.51427 |
0.51258 |
0.51089 |
0.50920 |
0.50752 |
0.50583 |
0.50414 |
0.50245 |
0.50076 |
29 |
|
|
|
|
|
|
|
0.53279 |
0.53111 |
0.52943 |
0.52775 |
0.52606 |
0.52438 |
0.52269 |
0.52101 |
0.51932 |
0.51764 |
30 |
|
|
|
|
|
|
|
0.54960 |
0.54792 |
0.54624 |
0.54456 |
0.54288 |
0.54120 |
0.53952 |
0.53784 |
0.53616 |
0.53448 |
31 |
|
|
|
|
|
|
|
0.56636 |
0.56468 |
0.56301 |
0.56133 |
0.55966 |
0.55798 |
0.55631 |
0.55463 |
0.55295 |
0.55127 |
32 |
|
|
|
|
|
|
|
0.58307 |
0.58140 |
0.57973 |
0.57806 |
0.57639 |
0.57472 |
0.57305 |
0.57138 |
0.56970 |
0.56803 |
33 |
|
|
|
|
|
|
|
0.59975 |
0.59808 |
0.59642 |
0.59475 |
0.59308 |
0.59142 |
0.58975 |
0.58808 |
0.58641 |
0.58474 |
34 |
|
|
|
|
|
|
|
0.61637 |
0.61471 |
0.61305 |
0.61139 |
0.60973 |
0.60807 |
0.60640 |
0.60474 |
0.60308 |
0.60141 |
35 |
|
|
|
|
|
|
|
0.63295 |
0.63130 |
0.62964 |
0.62798 |
0.62633 |
0.62467 |
0.62301 |
0.62135 |
0.61969 |
0.61803 |
36 |
|
|
|
|
|
|
|
0.64949 |
0.64783 |
0.64618 |
0.64453 |
0.64288 |
0.64123 |
0.63957 |
0.63792 |
0.63626 |
0.63461 |
37 |
|
|
|
|
|
|
|
0.66597 |
0.66432 |
0.66268 |
0.66103 |
0.65938 |
0.65773 |
0.65608 |
0.65444 |
0.65279 |
0.65114 |
38 |
|
|
|
|
|
|
|
0.68240 |
0.68076 |
0.67912 |
0.67748 |
0.67583 |
0.67419 |
0.67255 |
0.67090 |
0.66926 |
0.66761 |
39 |
|
|
|
|
|
|
|
0.69878 |
0.69714 |
0.69551 |
0.69387 |
0.69223 |
0.69060 |
0.68896 |
0.68732 |
0.68568 |
0.68404 |
40 |
|
|
|
|
|
|
|
0.71511 |
0.71348 |
0.71184 |
0.71021 |
0.70858 |
0.70695 |
0.70532 |
0.70368 |
0.70205 |
0.70041 |
41 |
|
|
|
|
|
|
|
0.73138 |
0.72975 |
0.72813 |
0.72650 |
0.72488 |
0.72325 |
0.72162 |
0.71999 |
0.71836 |
0.71674 |
42 |
|
|
|
|
|
|
|
0.74759 |
0.74597 |
0.74436 |
0.74274 |
0.74111 |
0.73949 |
0.73787 |
0.73625 |
0.73463 |
0.73300 |
43 |
|
|
|
|
|
|
|
0.76375 |
0.76214 |
0.76053 |
0.75891 |
0.75730 |
0.75568 |
0.75406 |
0.75245 |
0.75083 |
0.74921 |
44 |
|
|
|
|
|
|
|
0.77985 |
0.77825 |
0.77664 |
0.77503 |
0.77342 |
0.77181 |
0.77020 |
0.76859 |
0.76698 |
0.76537 |
45 |
|
|
|
|
|
|
|
0.79590 |
0.79430 |
0.79269 |
0.79109 |
0.78949 |
0.78788 |
0.78628 |
0.78467 |
0.78307 |
0.78146 |
46 |
|
|
|
|
|
|
|
0.81188 |
0.81028 |
0.80869 |
0.80709 |
0.80549 |
0.80389 |
0.80230 |
0.80070 |
0.79910 |
0.79750 |
47 |
|
|
|
|
|
|
|
0.82780 |
0.82621 |
0.82462 |
0.82303 |
0.82144 |
0.81985 |
0.81825 |
0.81666 |
0.81507 |
0.81347 |
48 |
|
|
|
|
|
|
|
0.84365 |
0.84207 |
0.84049 |
0.83890 |
0.83732 |
0.83573 |
0.83415 |
0.83256 |
0.83097 |
0.82939 |
49 |
|
|
|
|
|
|
|
0.85945 |
0.85787 |
0.85629 |
0.85472 |
0.85314 |
0.85156 |
0.84998 |
0.84840 |
0.84682 |
0.84524 |
50 |
|
|
|
|
|
|
|
0.87517 |
0.87360 |
0.87203 |
0.87046 |
0.86889 |
0.86732 |
0.86574 |
0.86417 |
0.86260 |
0.86102 |
51 |
|
|
|
|
|
|
|
0.89083 |
0.88927 |
0.88771 |
0.88614 |
0.88458 |
0.88301 |
0.88144 |
0.87988 |
0.87831 |
0.87674 |
52 |
|
|
|
|
|
|
|
0.90642 |
0.90487 |
0.90331 |
0.90175 |
0.90020 |
0.89864 |
0.89708 |
0.89552 |
0.89396 |
0.89239 |
53 |
|
|
|
|
|
|
|
0.92195 |
0.92040 |
0.91885 |
0.91730 |
0.91575 |
0.91420 |
0.91264 |
0.91109 |
0.90954 |
0.90798 |
54 |
|
|
|
|
|
|
|
0.93740 |
0.93586 |
0.93432 |
0.93277 |
0.93123 |
0.92968 |
0.92814 |
0.92659 |
0.92504 |
0.92350 |
55 |
|
|
|
|
|
|
|
0.95278 |
0.95125 |
0.94971 |
0.94818 |
0.94664 |
0.94510 |
0.94356 |
0.94202 |
0.94048 |
0.93894 |
56 |
|
|
|
|
|
|
|
0.96809 |
0.96656 |
0.96504 |
0.96351 |
0.96198 |
0.96045 |
0.95891 |
0.95738 |
0.95585 |
0.95432 |
57 |
|
|
|
|
|
|
|
0.98333 |
0.98181 |
0.98029 |
0.97876 |
0.97724 |
0.97572 |
0.97419 |
0.97267 |
0.97114 |
0.96962 |
58 |
|
|
|
|
|
|
|
0.99849 |
0.99697 |
0.99546 |
0.99395 |
0.99243 |
0.99092 |
0.98940 |
0.98788 |
0.98637 |
0.98485 |
59 |
|
|
|
|
|
|
|
1.01357 |
1.01207 |
1.01056 |
1.00905 |
1.00755 |
1.00604 |
1.00453 |
1.00302 |
1.00151 |
1.00000 |
60 |
|
|
|
|
|
|
|
1.02858 |
1.02708 |
1.02558 |
1.02408 |
1.02259 |
1.02109 |
1.01958 |
1.01808 |
1.01658 |
1.01508 |
61 |
|
|
|
|
|
|
|
1.04351 |
1.04202 |
1.04053 |
1.03904 |
1.03755 |
1.03605 |
1.03456 |
1.03307 |
1.03157 |
1.03008 |
62 |
|
|
|
|
|
|
|
1.05836 |
1.05688 |
1.05539 |
1.05391 |
1.05243 |
1.05094 |
1.04946 |
1.04797 |
1.04648 |
1.04500 |
63 |
|
|
|
|
|
|
|
1.07313 |
1.07165 |
1.07018 |
1.06870 |
1.06723 |
1.06575 |
1.06427 |
1.06280 |
1.06132 |
1.05984 |
64 |
|
|
|
|
|
|
|
1.08781 |
1.08635 |
1.08488 |
1.08342 |
1.08195 |
1.08048 |
1.07901 |
1.07754 |
1.07607 |
1.07460 |
65 |
|
|
|
|
|
|
|
1.10242 |
1.10096 |
1.09950 |
1.09804 |
1.09659 |
1.09513 |
1.09366 |
1.09220 |
1.09074 |
1.08928 |
66 |
|
|
|
|
|
|
|
1.11694 |
1.11549 |
1.11404 |
1.11259 |
1.11114 |
1.10969 |
1.10824 |
1.10678 |
1.10533 |
1.10387 |
67 |
|
|
|
|
|
|
|
1.13137 |
1.12993 |
1.12849 |
1.12705 |
1.12561 |
1.12417 |
1.12272 |
1.12128 |
1.11983 |
1.11838 |
68 |
|
|
|
|
|
|
|
1.14572 |
1.14429 |
1.14286 |
1.14143 |
1.13999 |
1.13856 |
1.13712 |
1.13569 |
1.13425 |
1.13281 |
69 |
|
|
|
|
|
|
|
1.15998 |
1.15856 |
1.15714 |
1.15571 |
1.15429 |
1.15286 |
1.15144 |
1.15001 |
1.14858 |
1.14715 |
70 |
|
|
|
|
|
|
|
1.17416 |
1.17274 |
1.17133 |
1.16991 |
1.16850 |
1.16708 |
1.16566 |
1.16425 |
1.16283 |
1.16141 |
71 |
|
|
|
|
|
|
|
1.18824 |
1.18684 |
1.18543 |
1.18403 |
1.18262 |
1.18121 |
1.17980 |
1.17839 |
1.17698 |
1.17557 |
72 |
|
|
|
|
|
|
|
1.20223 |
1.20084 |
1.19944 |
1.19805 |
1.19665 |
1.19525 |
1.19385 |
1.19245 |
1.19105 |
1.18964 |
73 |
|
|
|
|
|
|
|
1.21614 |
1.21475 |
1.21336 |
1.21198 |
1.21059 |
1.20920 |
1.20781 |
1.20642 |
1.20502 |
1.20363 |
74 |
|
|
|
|
|
|
|
1.22995 |
1.22857 |
1.22719 |
1.22581 |
1.22443 |
1.22305 |
1.22167 |
1.22029 |
1.21891 |
1.21752 |
75 |
|
|
|
|
|
|
|
1.24366 |
1.24229 |
1.24093 |
1.23956 |
1.23819 |
1.23682 |
1.23544 |
1.23407 |
1.23270 |
1.23132 |
76 |
|
|
|
|
|
|
|
1.25728 |
1.25593 |
1.25457 |
1.25321 |
1.25185 |
1.25048 |
1.24912 |
1.24776 |
1.24639 |
1.24503 |
77 |
|
|
|
|
|
|
|
1.27081 |
1.26946 |
1.26811 |
1.26676 |
1.26541 |
1.26406 |
1.26270 |
1.26135 |
1.26000 |
1.25864 |
78 |
|
|
|
|
|
|
|
1.28424 |
1.28290 |
1.28156 |
1.28022 |
1.27888 |
1.27753 |
1.27619 |
1.27485 |
1.27350 |
1.27216 |
79 |
|
|
|
|
|
|
|
1.29757 |
1.29624 |
1.29491 |
1.29358 |
1.29225 |
1.29091 |
1.28958 |
1.28825 |
1.28691 |
1.28557 |
80 |
|
|
|
|
|
|
|
1.31080 |
1.30948 |
1.30816 |
1.30684 |
1.30552 |
1.30420 |
1.30287 |
1.30155 |
1.30022 |
1.29890 |
81 |
|
|
|
|
|
|
|
1.32393 |
1.32262 |
1.32131 |
1.32000 |
1.31869 |
1.31738 |
1.31606 |
1.31475 |
1.31343 |
1.31212 |
82 |
|
|
|
|
|
|
|
1.33696 |
1.33566 |
1.33436 |
1.33306 |
1.33176 |
1.33046 |
1.32916 |
1.32785 |
1.32655 |
1.32524 |
83 |
|
|
|
|
|
|
|
1.34989 |
1.34860 |
1.34731 |
1.34602 |
1.34473 |
1.34344 |
1.34215 |
1.34085 |
1.33956 |
1.33826 |
84 |
|
|
|
|
|
|
|
1.36272 |
1.36144 |
1.36016 |
1.35888 |
1.35760 |
1.35632 |
1.35504 |
1.35375 |
1.35247 |
1.35118 |
85 |
|
|
|
|
|
|
|
1.37544 |
1.37417 |
1.37291 |
1.37164 |
1.37037 |
1.36909 |
1.36782 |
1.36655 |
1.36527 |
1.36400 |
86 |
|
|
|
|
|
|
|
1.38806 |
1.38680 |
1.38554 |
1.38429 |
1.38303 |
1.38176 |
1.38050 |
1.37924 |
1.37797 |
1.37671 |
87 |
|
|
|
|
|
|
|
1.40057 |
1.39933 |
1.39808 |
1.39683 |
1.39558 |
1.39433 |
1.39308 |
1.39182 |
1.39057 |
1.38932 |
88 |
|
|
|
|
|
|
|
1.41298 |
1.41174 |
1.41051 |
1.40927 |
1.40803 |
1.40679 |
1.40555 |
1.40431 |
1.40306 |
1.40182 |
89 |
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
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