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Sine Bars and Their Constants
When a reference for a non-square angle is required, a sine bar
can be used.
Basically a sine bar is a bar of known length.
When gauge blocks
are placed under one end, the sine bar will tilt to a specific angle.
The figure below shows a sine bar from the side,
A simple example is - set up a sine bar with an angle of 24°-57', if the sine bar has 5" centres.
The sine bar shown above will only allow a single angle to be set.
............................................................................................................................
You can also use a more simplified formula: (You have to use a scientific
calculator to do this).
Say for instance, you need to assemble a set of gauge blocks to
set under a Sine Bar to get the correct height.
The correct formula to use with your calculator would be:
(degree) x (sin) x (length of Sine Bar)
.707106781186547 x 5 = 3.53553
3.53553 is the assembled height of your gauge
blocks you would use to check the angle of 45 degrees using a 5" Sine Bar.
So just use 3.5355 inches.
Example #2
3 inch Sine Bar
30 degrees
30 degrees x Sin Button x 3"
30 x Sin Button = .5
.5 x 3 = 1.5
1.5 inches is the assembled height of your gauge
blocks you would use to check the angle of 30 degrees using a 3" Sine Bar.
So just use 1.5 inches.
*These figure should bring you to within general machine shop tolerances.
For your convenience I have provided Sine Bar Constants for
3", 5", 75mm, 100mm, 125mm lengths.
There are more tables for other Sine Bar lengths which I am looking for.
3" SINE BAR CONSTANTS
| MIN | 27° | 28° | 29° | 30° | 31° | 32° | 33° | 34° | 35° |
|
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
1.361971 .362749 .363526 .364304 .365081 1.365858 .366635 .367412 .368188 .368965 1.369741 .370518 .371294 .372070 .372846 1.373622 .374398 .375173 .375949 .376724 1.377499 .378275 .379050 .379825 .380599 1.381374 .382149 .382923 .383697 .384472 1.385246 .386020 .386794 .387567 .388341 1.389115 .389888 .390661 .391435 .392208 1.392981 .393753 .394526 .395299 .396071 1.396844 .397616 .398388 .399160 .399932 1.400704 .401475 .402247 .403018 .403789 1.404561 .405332 .406103 .406873 .407644 |
1.408415 .409185 .409955 .410726 .411496 1.412266 .413036 .413805 .414575 .415345 1.416114 .416883 .417652 .418421 .419190 1.419959 .420728 .421496 .422265 .423033 1.423801 .424569 .425337 .426105 .426873 1.427640 .428408 .429175 .429942 .430709 1.431476 .432243 .433010 .433776 .434543 1.435309 .436076 .436842 .437608 .438374 1.439139 .439905 .440670 .441436 .442201 1.442966 .443731 .444496 .445261 .446026 1.446790 .447555 .448319 .449083 .449847 1.450611 .451375 .452139 .452902 .453666 |
1.454429 .455192 .455955 .456718 .457481 1.458244 .459006 .459769 .460531 .461293 1.462055 .462817 .463579 .464341 .465102 1.465864 .466625 .467386 .468147 .468908 1.469669 .470430 .471190 .471951 .472711 1.473471 .474232 .474992 .475751 .476511 1.477271 .478030 .478789 .479549 .480308 1.481067 .481826 .482584 .483343 .484101 1.484860 .485618 .486376 .487134 .487892 1.488650 .489407 .490165 .490922 .491679 1.492436 .493193 .493950 .494707 .495463 1.496220 .496976 .497732 .498488 .499244 |
1.500000 .500756 .501511 .502267 .503022 1.503777 .504532 .505287 .506042 .506797 1.507551 .508306 .509060 .509814 .510568 1.511322 .512076 .512829 .513583 .514336 1.515090 .515843 .516596 .517349 .518101 1.518854 .519606 .520359 .521111 .521863 1.522615 .523367 .524119 .524870 .525622 1.526373 .527124 .527875 .528626 .529377 1.530128 .530878 .531629 .532379 .533129 1.533879 .534629 .535379 .536129 .536878 1.537628 .538377 .539126 .539875 .540624 1.541372 .542121 .542870 .543618 .544366 |
1.545114 .545862 .546610 .547358 .548105 1.548853 .549600 .550347 .551094 .551841 1.552588 .553335 .554081 .554827 .555574 1.556320 .557066 .557812 .558557 .559303 1.560048 .560794 .561539 .562284 .563029 1.563774 .564518 .565263 .566007 .566752 1.567496 .568240 .568984 .569727 .570471 1.571214 .571958 .572701 .573444 .574187 1.574930 .575672 .576415 .577157 .577900 1.578642 .579384 .580126 .580867 .581609 1.582350 .583092 .583833 .584574 .585315 1.586056 .586796 .587537 .588277 .589018 |
1.589758 .590498 .591238 .591977 .592717 1.593456 .594196 .594935 .595674 .596413 1.597152 .597890 .598629 .599367 .600105 1.600844 .601582 .602319 .603057 .603795 1.604532 .605269 .606006 .606744 .607480 1.608217 .608954 .609690 .610427 .611163 1.611899 .612635 .613371 .614106 .614842 1.615577 .616312 .617047 .617782 .618517 1.619252 .619987 .620721 .621455 .622189 1.622923 .623657 .624391 .625125 .625858 1.626591 .627325 .628058 .628791 .629523 1.630256 .630988 .631721 .632453 .633185 |
1.633917 .634649 .635381 .636112 .636844 1.637575 .638306 .639037 .639768 .640498 1.641229 .641959 .642690 .643420 .644150 1.644880 .645609 .646339 .647068 .647798 1.648527 .649256 .649985 .650714 .651442 1.652171 .652899 .653627 .654355 .655083 1.655811 .656539 .657266 .657993 .658721 1.659448 .660175 .660901 .661628 .662355 1.663081 .663807 .664533 .665259 .665985 1.666711 .667436 .668162 .668887 .669612 1.670337 .671062 .671786 .672511 .673235 1.673960 .674684 .675408 .676131 .676855 |
1.677579 .678302 .679025 .679748 .680471 1.681194 .681917 .682640 .683362 .684084 1.684806 .685528 .686250 .686972 .687693 1.688415 .689136 .689857 .690578 .691299 1.692020 .692740 .693461 .694181 .694901 1.695621 .696341 .697061 .697780 .698499 1.699219 .699938 .700657 .701376 .702094 1.702813 .703531 .704249 .704968 .705686 1.706403 .707121 .707839 .708556 .709273 1.709990 .710707 .711424 .712141 .712857 1.713574 .714290 .715006 .715722 .716438 1.717153 .717869 .718584 .719299 .720014 |
1.720729 .721444 .722159 .722873 .723588 1.724302 .725016 .725730 .726443 .727157 1.727870 .728584 .729297 .730010 .730723 1.731436 .732148 .732861 .733573 .734285 1.734997 .735709 .736421 .737132 .737844 1.738555 .739266 .739977 .740688 .741398 1.742109 .742819 .743529 .744240 .744949 1.745659 .746369 .747078 .747788 .748497 1.749206 .749915 .750624 .751332 .752041 1.752749 .753457 .754165 .754873 .755581 1.756288 .756996 .757703 .758410 .759117 1.759824 .760531 .761237 .761943 .762650 |
5" SINE BAR CONSTANTS
| MIN | 27° | 28° | 29° | 30° | 31° | 32° | 33° | 34° | 35° |
|
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
2.269952 .271248 .272544 .273839 .275135 2.276430 .277725 .279019 .280314 .281608 2.282902 .284196 .285490 .286783 .288076 2.289370 .290662 .291955 .293248 .294540 2.295832 .297124 .298416 .299708 .300999 2.302290 .303581 .304872 .306162 .307453 2.308743 .310033 .311323 .312612 .313902 2.315191 .316480 .317769 .319058 .320346 2.321634 .322922 .324210 .325498 .326785 2.328073 .329360 .330647 .331933 .333220 2.334506 .335792 .337078 .338364 .339649 2.340934 .342219 .343504 .344789 .346074 |
2.347358 .348642 .349926 .351210 .352493 2.353776 .355059 .356342 .357625 .358908 2.360190 .361472 .362754 .364036 .365317 2.366598 .367879 .369160 .370441 .371722 2.373002 .374282 .375562 .376842 .378121 2.379400 .380679 .381958 .383237 .384516 2.385794 .387072 .388350 .389627 .390905 2.392182 .393459 .394736 .396013 .397289 2.398566 .399842 .401117 .402393 .403669 2.404944 .406219 .40749 .408768 .410043 2.411317 .412591 .413865 .415139 .416412 2.417685 .418958 .420231 .421504 .422776 |
2.424048 .425320 .426592 .427863 .429135 2.430406 .431677 .432948 .434218 .435489 2.436759 .438029 .439298 .440568 .441837 2.443106 .444375 .445644 .446912 .448181 2.449449 .450716 .451984 .453252 .454519 2.455786 .457053 .458319 .459586 .460852 2.462118 .463384 .464649 .465915 .467180 2.468445 .469709 .470974 .472238 .473502 2.474766 .476030 .477293 .478557 .479820 2.481083 .482345 .483608 .484870 .486132 2.487394 .488655 .489917 .491178 .492439 2.493699 .494960 .496220 .497480 .498740 |
2.500000 .501259 .502519 .503778 .505037 2.506295 .507554 .508812 .510070 .511328 2.512585 .513843 .515100 .516357 .517613 2.518870 .520126 .521382 .522638 .523894 2.525149 .526404 .527659 .528914 .530169 2.531423 .532677 .533931 .535185 .536439 2.537692 .538945 .540198 .541450 .542703 2.543955 .545207 .546459 .547710 .548962 2.550213 .551464 .552715 .553965 .555215 2.556465 .557715 .558965 .560214 .561464 2.562713 .563961 .565210 .566458 .567706 2.568954 .570202 .571449 .572697 .573944 |
2.575190 .576437 .577683 .578929 .580175 2.581421 .582667 .583912 .585157 .586402 2.587646 .588891 .590135 .591379 .592623 2.593866 .595110 .596353 .597596 .598838 2.600081 .601323 .602565 .603807 .605048 2.606289 .607531 .608771 .610012 .611253 2.612493 .613733 .614973 .616212 .617452 2.618691 .619930 .621168 .622407 .623645 2.624883 .626121 .627358 .628596 .629833 2.631070 .632306 .633543 .634779 .636015 2.637251 .638486 .639722 .640957 .642192 2.643426 .644661 .645895 .647129 .648363 |
2.649596 .650830 .652063 .653296 .654528 2.655761 .656993 .658225 .659457 .660688 2.661919 .663151 .664381 .665612 .666842 2.668073 .669303 .670532 .671762 .672991 2.674220 .675449 .676677 .677906 .679134 2.680362 .681590 .682817 .684044 .685271 2.686498 .687725 .688951 .690177 .691403 2.692629 .693854 .695079 .696304 .697529 2.698753 .699978 .701202 .702425 .703649 2.704872 .706095 .707318 .708541 .709763 2.710986 .712208 .713429 .714651 .715872 2.717093 .718314 .719535 .720755 .721975 |
2.723195 .724415 .725634 .726854 .728073 2.729291 .730510 .731728 .732946 .734164 2.735382 .736599 .737816 .739033 .740250 2.741466 .742682 .743898 .745114 .746330 2.747545 .748760 .749975 .751189 .752404 2.753618 .754832 .756045 .757259 .758472 2.759685 .760898 .762110 .763322 .764534 2.765746 .766958 .768169 .769380 .770591 2.771802 .773012 .774222 .775432 .776642 2.777851 .779060 .780269 .781478 .782687 2.783895 .785103 .786311 .787518 .788726 2.789933 .791139 .792346 .793552 .794759 |
2.795965 .797170 .798376 .799581 .800786 2.801990 .803195 .804399 .805603 .806807 2.808011 .809214 .810417 .811620 .812822 2.814025 .815227 .816429 .817630 .818832 2.820033 .821234 .822434 .823635 .824835 2.826035 .827235 .828434 .829633 .830832 2.832031 .833230 .834428 .835626 .836824 2.838021 .839219 .840416 .841613 .84280 2.844006 .845202 .846398 .847593 .848789 2.849984 .851179 .852373 .853568 .854762 2.855956 .857150 .858343 .859536 .860729 2.861922 .863115 .864307 .865499 .866691 |
2.867882 .869073 .870265 .871455 .872646 2.873836 .875026 .876216 .877406 .878595 2.879784 .880973 .882162 .883350 .884538 2.885726 .886914 .888101 .889288 .890475 2.891662 .892848 .894034 .895220 .896406 2.897591 .898776 .899961 .901146 .902331 2.903515 .904699 .905882 .907066 .908249 2.909432 .910615 .911797 .912980 .914162 2.915343 .916525 .917706 .918887 .920068 2.921248 .922429 .923609 .924788 .925968 2.927147 .928326 .929505 .930683 .931862 2.933040 .934218 .935395 .936572 .937749 |
Metric Sine Bar Constants
75mm SINE BAR CONSTANTS
| MIN | 18° | 19° | 20° | 21° | 22° | 23° | 24° | 25° | 26° |
|
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
23.17627 .19702 .21777 .23851 .25925 23.27999 .30073 .32147 .34220 .36293 23.38366 .40439 .42512 .44584 .46657 23.48729 .50800 .52872 .54943 .57015 23.59086 .61156 .63227 .65298 .67368 23.69438 .71508 .73577 .75647 .77716 23.79785 .81854 .83922 .85991 .88059 23.90127 .92195 .94262 .96330 .98397 24.00464 .02531 .04597 .06664 .08730 24.10796 .12862 .14927 .16993 .19058 24.21123 .23188 .25252 .27316 .29381 24.31445 .33508 .35572 .37635 .39698 |
24.41761 .43824 .45886 .47949 .50011 24.52073 .54134 .56196 .58257 .60318 24.62379 .64439 .66500 .68560 .70620 24.72680 .74739 .76799 .78858 .80917 24.82976 .85034 .87092 .89151 .91208 24.93266 .95324 .97381 .99438 25.01495 25.03551 .05608 .07664 .09720 .11776 25.13831 .15887 .17942 .19997 .22052 25.24106 .26160 .28214 .30268 .32322 25.34375 .36429 .38482 .40534 .42587 25.44639 .46691 .48743 .50795 .52847 25.54898 .56949 .59000 .61050 .63101 |
25.65151 .67201 .69251 .71300 .73350 25.75399 .77448 .79496 .81545 .83593 25.85641 .87689 .89736 .91784 .93831 25.95878 .97925 .99971 26.02017 .04063 26.06109 .08155 .10200 .12245 .14290 26.16335 .18380 .20424 .22468 .24512 26.26555 .28599 .30642 .32685 .34728 26.36770 .38812 .40854 .42896 .44938 26.46979 .49020 .51061 .53102 .55143 26.57183 .59223 .61263 .63302 .65342 26.67381 .69420 .71458 .73497 .75535 26.77573 .79611 .81648 .83686 .85723 |
26.87760 .89796 .91833 .93869 .95905 26.97941 .99976 27.02011 .04046 .06081 27.08116 .10150 .12184 .14218 .16252 27.18285 .20318 .22351 .24384 .26417 27.28449 .30481 .32513 .34545 .36576 27.38607 .40638 .42669 .44699 .46729 27.48759 .50789 .52818 .54848 .56877 27.58906 .60934 .62962 .64991 .67018 27.69046 .71074 .73101 .75128 .77154 27.79181 .81207 .83233 .85259 .87284 27.89310 .91335 .93359 .95384 .97408 27.99432 28.01456 .03480 .05503 .07527 |
28.09549 .11572 .13595 .15617 .17639 28.19660 .21682 .23703 .25724 .27745 28.29766 .31786 .33806 .35826 .37845 28.39865 .41884 .43903 .45921 .47940 28.49958 .51976 .53993 .56011 .58028 28.60045 .62061 .64078 .66094 .68110 28.70126 .72141 .74156 .76171 .78186 28.80201 .82215 .84229 .86243 .88256 28.90269 .92283 .94295 .96308 .98320 29.00332 .02344 .04356 .06367 .08378 29.10389 .12399 .14410 .16420 .18430 29.20439 .22449 .24458 .26467 .28475 |
29.30483 .32492 .34499 .36507 .38514 29.40522 .42528 .44535 .46541 .48547 29.50553 .52559 .54564 .56569 .58574 29.60579 .62583 .64587 .66591 .68595 29.70598 .72601 .74604 .76607 .78609 29.80611 .82613 .84615 .86616 .88617 29.90618 .92619 .94619 .96619 .98619 30.00618 .02618 .04617 .06616 .08614 30.10612 .12611 .14608 .16606 .18603 30.20600 .22597 .24593 .26590 .28586 30.30581 .32577 .34572 .36567 .38562 30.40556 .42551 .44545 .46538 .48532 |
30.50525 .52518 .54510 .56503 .58495 30.60487 .62478 .64470 .66461 .68452 30.70442 .72433 .74423 .76413 .78402 30.80391 .82380 .84369 .86358 .88346 30.90334 .92322 .94309 .96296 .98283 31.00270 .02256 .04242 .06228 .08214 31.10199 .12184 .14169 .16154 .18138 31.20122 .22106 .24089 .26073 .28056 31.30038 .32021 .34003 .35985 .37967 31.39948 .41929 .43910 .45891 .47871 31.49851 .51831 .53810 .55790 .57769 31.59747 .61726 .63704 .65682 .67660 |
31.69637 .71614 .73591 .75568 .77544 31.79520 .81496 .83471 .85446 .87421 31.89396 .91371 .93345 .95319 .97292 31.99266 32.01239 .03211 .05184 .07156 32.09128 .11100 .13071 .15043 .17013 32.18984 .20954 .22925 .24894 .26864 32.28833 .30802 .32771 .34739 .36708 32.38675 .40643 .42610 .44578 .46544 32.48511 .50477 .52443 .54409 .56374 32.58339 .60304 .62269 .64233 .66197 32.68161 .70125 .72088 .74051 .76013 32.77976 .79938 .81900 .83861 .85823 |
32.87784 .89744 .91705 .93665 .95625 32.97584 .99544 33.01503 .03462 .05420 33.07378 .09336 .11294 .13251 .15208 33.17165 .19122 .21078 .23034 .24990 33.26945 .28900 .30855 .32810 .34764 33.36718 .38672 .40625 .42578 .44531 33.46484 .48436 .50388 .52340 .54291 33.56242 .58193 .60144 .62094 .64044 33.65994 .67943 .69892 .71841 .73790 33.75738 .77686 .79634 .81582 .83529 33.85476 .87422 .89369 .91315 .93260 33.95206 .97151 .99096 34.01040 .02985 |
100mm SINE BAR CONSTANTS
| MIN | 18° | 19° | 20° | 21° | 22° | 23° | 24° | 25° | 26° |
|
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
30.90170 .92936 .95702 .98468 31.01234 31.03999 .06764 .09529 .12294 .15058 31.17822 .20586 .23349 .26112 .28875 31.31638 .34400 .37163 .39925 .42686 31.45448 .48209 .50969 .53730 .56490 31.59250 .62010 .64770 .67529 .70288 31.73047 .75805 .78563 .81321 .84079 31.86836 .89593 .92350 .95106 .97863 32.00619 .03374 .06130 .08885 .11640 32.14395 .17149 .19903 .22657 .25411 32.28164 .30917 .33670 .36422 .39174 32.41926 .44678 .47429 .50180 .52931 |
32.55682 .58432 .61182 .63932 .66681 32.69430 .72179 .74928 .77676 .80424 32.83172 .85919 .88666 .91413 .94160 32.96906 .99653 33.02398 .05144 .07889 33.10634 .13379 .16123 .18867 .21611 33.24355 .27098 .29841 .32584 .35326 33.38069 .40810 .43552 .46293 .49034 33.51775 .54516 .57256 .59996 .62735 33.65475 .68214 .70953 .73691 .76429 33.79167 .81905 .84642 .87379 .90116 33.92852 .95589 .98325 34.01060 .03795 34.06531 .09265 .12000 .14734 .17468 |
34.20201 .22935 .25668 .28400 .31133 34.33865 .36597 .39329 .42060 .44791 34.47521 .50252 .52982 .55712 .58441 34.61171 .63900 .66628 .69357 .72085 34.74812 .77540 .80267 .82994 .85720 34.88447 .91173 .93898 .96624 .99349 35.02074 .04798 .07523 .10246 .12970 35.15693 .18416 .21139 .23862 .26584 35.29306 .32027 .34748 .37469 .40190 35.42910 .45630 .48350 .51070 .53789 35.56508 .59226 .61944 .64662 .67380 35.70097 .72814 .75531 .78248 .80964 |
35.83679 .86395 .89110 .91825 .94540 35.97254 .99968 36.02682 .05395 .08108 36.10821 .13534 .16246 .18958 .21669 36.24380 .27091 .29802 .32512 .35222 36.37932 .40641 .43351 .46059 .48768 36.51476 .54184 .56891 .59599 .62306 36.65012 .67719 .70425 .73130 .75836 36.78541 .81246 .83950 .86654 .89358 36.92061 .94765 .97468 37.00170 .02872 37.05574 .08276 .10977 .13678 .16379 37.19079 .21780 .24479 .27179 .29878 37.32577 .35275 .37973 .40671 .43369 |
37.46066 .48763 .51459 .54156 .56852 37.59547 .62243 .64938 .67632 .70327 37.73021 .75714 .78408 .81101 .83794 37.86486 .89178 .91870 .94562 .97253 37.99944 38.02634 .05324 .08014 .10704 38.13393 .16082 .18770 .21459 .24147 38.26834 .29522 .32209 .34895 .37582 38.40268 .42953 .45639 .48324 .51008 38.53693 .56377 .59060 .61744 .64427 38.67110 .69792 .72474 .75156 .77837 38.80518 .83199 .85880 .88560 .91239 38.93919 .96598 .99277 39.01955 .04633 |
39.07311 .09989 .12666 .15343 .18019 39.20695 .23371 .26047 .28722 .31397 39.34071 .36745 .39419 .42093 .44766 39.47439 .50111 .52783 .55455 .58127 39.60798 .63468 .66139 .68809 .71479 39.74148 .76818 .79486 .82155 .84823 39.87491 .90158 .92825 .95492 .98158 40.00825 .03490 .06156 .08821 .11486 40.14150 .16814 .19478 .22141 .24804 40.27467 .30129 .32791 .35453 .38114 40.40775 .43436 .46096 .48756 .51416 40.54075 .56734 .59393 .62051 .64709 |
40.67366 .70024 .72681 .75337 .77993 40.80649 .83305 .85960 .88615 .91269 40.93923 .96577 .99230 41.01883 .04536 41.07189 .09841 .12492 .15144 .17795 41.20445 .23096 .25745 .28395 .31044 41.33693 .36342 .38990 .41638 .44285 41.46932 .49579 .52226 .54872 .57517 41.60163 .62808 .65453 .68097 .70741 41.73385 .76028 .78671 .81313 .83956 41.86597 .89239 .91880 .94521 .97161 41.99801 42.02441 .05080 .07719 .10358 42.12996 .15634 .18272 .20909 .23546 |
42.26183 .28819 .31455 .34090 .36725 42.39360 .41994 .44628 .47262 .49895 42.52528 .55161 .57793 .60425 .63056 42.65687 .68318 .70949 .73579 .76208 42.78838 .81467 .84095 .86723 .89351 42.91979 .94606 .97233 .99859 43.02485 43.05111 .07736 .10361 .12986 .15610 43.18234 .20857 .23481 .26103 .28726 43.31348 .33970 .36591 .39212 .41832 43.44453 .47072 .49692 .52311 .54930 43.57548 .60166 .62784 .65401 .68018 43.70634 .73251 .75866 .78482 .81097 |
43.83711 .86326 .88940 .91553 .94166 43.96779 .99392 44.02004 .04615 .07227 44.09838 .12448 .15059 .17668 .20278 44.22887 .25496 .28104 .30712 .33319 44.35927 .38534 .41140 .43746 .46352 44.48957 .51562 .54167 .56771 .59375 44.61978 .64581 .67184 .69786 .72388 44.74990 .77591 .80192 .82792 .85392 44.87992 .90591 .93190 .95789 .98387 45.00984 .03582 .06179 .08775 .11372 45.13967 .16563 .19158 .21753 .24347 45.26941 .29535 .32128 .34721 .37313 |
125mm SINE BAR CONSTANTS
| MIN | 9° | 10° | 11° | 12° | 13° | 14° | 15° | 16° | 17° |
|
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
19.5543 .5902 .6261 .6620 .6979 19.7339 .7698 .8057 .8416 .8775 19.9134 .9493 .9851 20.0210 .0569 20.0928 .1287 .1646 .2005 .2364 20.2722 .3081 .3440 .3799 .4157 20.4516 .4875 .5234 .5592 .5951 20.6310 .6668 .7027 .7385 .7744 20.8102 .8461 .8819 .9178 .9536 20.9895 21.0253 .0612 .0970 .1329 21.1687 .2045 .2404 .2762 .3120 21.3478 .3837 .4195 .4553 .4911 21.5270 .5628 .5986 .6344 .6702 |
21.7060 .7418 .7776 .8134 .8492 21.8850 .9208 .9566 .9924 22.0282 22.0640 .0998 .1356 .1714 .2072 22.2429 .2787 .3145 .3503 .3861 22.4218 .4576 .4934 .5291 .5649 22.6007 .6364 .6722 .7079 .7437 22.7794 .8152 .8509 .8867 .9224 22.9582 .9939 23.0297 .0654 .1011 23.1369 .1726 .2083 .2441 .2798 23.3155 .3512 .3869 .4227 .4584 23.4941 .5298 .5655 .6012 .6369 23.6726 .7083 .7440 .7797 .8154 |
23.8511 .8868 .9225 .9582 .9939 24.0296 .0652 .1009 .1366 .1723 24.2080 .2436 .2793 .3150 .3506 24.3863 .4220 .4576 .4933 .5289 24.5646 .6002 .6359 .6715 .7072 24.7428 .7785 .8141 .8497 .8854 24.9210 .9566 .9922 25.0279 .0635 25.0991 .1347 .1704 .2060 .2416 25.2772 .3128 .3484 .3840 .4196 25.4552 .4908 .5264 .5620 .5976 25.6332 .6688 .7044 .7399 .7755 25.8111 .8467 .8823 .9178 .9534 |
25.9890 26.0245 .0601 .0957 .1312 26.1668 .2023 .2379 .2734 .3090 26.3445 .3801 .4156 .4511 .4867 26.5222 .5577 .5933 .6288 .6643 26.6998 .7354 .7709 .8064 .8419 26.8774 .9129 .9484 .9839 27.0195 27.0550 .0904 .1259 .1614 .1969 27.2324 .2679 .3034 .3389 .3744 27.4098 .4453 .4808 .5162 .5517 27.5872 .6226 .6581 .6936 .7290 27.7645 .7999 .8354 .8708 .9063 27.9417 .9771 28.0126 .0480 .0835 |
28.1189 .1543 .1897 .2252 .2606 28.2960 .3314 .3668 .4022 .4376 28.4731 .5085 .5439 .5793 .6147 28.6500 .6854 .7208 .7562 .7916 28.8270 .8624 .8977 .9331 .9685 29.0039 .0392 .0746 .1100 .1453 29.1807 .2160 .2514 .2867 .3221 29.3574 .3928 .4281 .4634 .4988 29.5341 .5694 .6048 .6401 .6754 29.7107 .7461 .7814 .8167 .8520 29.8873 .9226 .9579 .9932 30.0285 30.0638 .0991 .1344 .1697 .2050 |
30.2402 .2755 .3108 .3461 .3813 30.4166 .4519 .4871 .5224 .5577 30.5929 .6282 .6634 .6987 .7339 30.7692 .8044 .8396 .8749 .9101 30.9453 .9806 31.0158 .0510 .0862 31.1215 .1567 .1919 .2271 .2623 31.2975 .3327 .3679 .4031 .4383 31.4735 .5087 .5439 .5790 .6142 31.6494 .6846 .7197 .7549 .7901 31.8252 .8604 .8956 .9307 .9659 32.0010 .0362 .0713 .1065 .1416 32.1767 .2119 .2470 .2821 .3173 |
32.3524 .3875 .4226 .4577 .4928 32.5280 .5631 .5982 .6333 .6684 32.7035 .7386 .7736 .8087 .8438 32.8789 .9140 .9491 .9841 33.0192 33.0543 .0893 .1244 .1595 .1945 33.2296 .2646 .2997 .3347 .3698 33.4048 .4398 .4749 .5099 .5449 33.5800 .6150 .6500 .6850 .7200 33.7550 .7900 .8251 .8601 .8951 33.9301 .9651 34.0000 .0350 .0700 34.1050 .1400 .1750 .2099 .2449 34.2799 .3148 .3498 .3848 .4197 |
34.4547 .4896 .5246 .5595 .5945 34.6294 .6643 .6993 .7342 .7691 34.8040 .8390 .8739 .9088 .9437 34.9786 35.0135 .0484 .0833 .1182 35.1531 .1880 .2229 .2578 .2927 35.3276 .3624 .3973 .4322 .4671 35.5019 .5368 .5716 .6065 .6413 35.6762 .7110 .7459 .7807 .8156 35.8504 .8852 .9201 .9549 .9897 36.0245 .0594 .0942 .1290 .1638 36.1986 .2334 .2682 .3030 .3378 36.3726 .4073 .4421 .4769 .5117 |
36.5465 .5812 .6160 .6508 .6855 36.7203 .7550 .7898 .8245 .8593 36.8940 .9288 .9635 .9982 37.0330 37.0677 .1024 .1371 .1719 .2066 37.2413 .2760 .3107 .3454 .3801 37.4148 .4495 .4842 .5189 .5535 37.5882 .6229 .6576 .6922 .7269 37.7616 .7962 .8309 .8655 .9002 37.9348 .9695 38.0041 .0388 .0734 38.1080 .1427 .1773 .2119 .2465 38.2811 .3158 .3504 .3850 .4196 38.4542 .4888 .5234 .5580 .5925 |