M. 1440 LOGARITHMS of the Sum and DIFFERENCE. SUM OR DIFFERENCE. M. 0 1 4 5 1450 146° 1470 1480 1490 150° 1510 0.978206 0.979419 0.980596|0.981737 0.982842 0.983911 0.984944 0.985942 978227 979439 980616 981756 982860 983928! 984961 985958 978247 979459 980635 981774 982878 983946 984978 985974 978268 979479 980654 981793 982896 983963 984994 985991 978288 979499 980673 981812 982914 983981 985011 986007 0.978309 0.979519 0.980693 0.981830 0.982932 0.983998 0.985028 0.986023 978329 979539 980712 981849 982950 984015 985045 986039 978350 979559 980731 981868 982968 984033 985062 986056 978370 979578 980750 981886 982986 984050 985079 986072 978391 979598 980770 981905 983004 984068 985096 986088 0.9784110.979618 0.980789 0.981924 0.983022 0.984085 0.985113 0.986104 978431 979638 980808 981942 983040 984103 985129 986121 11 978452 979658 980827 981961 983058 984120 985146 986137 12 978472 979678 980846 981979 983076 984137 985163 986153 13 978493 979697 980866 981998 983094 984155 985180 986169 14 0.978513 0.979717 0.980885 0.982016 0.9831120.9841720.985196 0.986185 15 978533 979737 980904 982035 983130 984190 985213 986202 16 978554 979757 980923 982054 983148 984207 985230 986218 17 978574 979776 980942 982072 983166 984224 985247 98623-1 18 978594 979796 980961 982091 983184 984242 985264 986250 19 8 10 20 0.978615 0.979816 0.980981 0.982109 0.983202 0.9842590.985280 0.986266 978635 979835 981000 982128 983220 984276 985297 986282 21 978655 979855 981019 982146 983238 984294 985314 986299 22 978676 979875 981038 982165 983256 984311 985330 986315 23 978696 979895 981057 982183 983273 984328 985347 986331 24 0.9787160.979914 0.981076 0.982202 0.9832910.984345 0.985364 0.986347 25 978736 979934 981095 982220 983309 984363 985380 986363 26 978757 979954 981114 982238 983327 984380 985397 986379 27 978777 979973 981133 982257 983345 984397 985414 986395 28 978797 979993 981152 982275 983363 984414 985430 986411 29 0.978817 0.980012 0.981171 0.982294 0.983381 0.984432 0.985447 0.986427 978838 980032 981190 982312 983398 984449 985464 986443 31 978858 980052 981209 982331 983416 984466 985480 986459 32 978878 980071 981228 982349 983434 984483 985497 986475 33 978898 980091 981-247 982367 983452 984500 985514 986491 34 30 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 0.979220 0.980403 0.981549 0.982660 0.983735 0.984774 0.985778 0.986746 979240 980422 981568 982678 983752 984791 985794 986762 51 979260 980442 981587 982696 983770 984808 985811 986778 52 979280 980461 981606 982715 983788 984825 985827 986794 53 979300 980480 981625 982733 983805 984842 985843 986809 54 0.978918 0.980110 0.981266 0.982386 0.9834690.9845180.985530 0.986507 35 978939 980130 981285 982404 983487 984535 985547 986523 36 978959 980149 981304 982422 983505 984552 985563 986539 37 978979 980169 981323 982441 983523 984569 985580 986555 38 978999 980189 981342 982459 983540 984586 985596 986571 39 0.9790190.980208 0.981361 0.982477 0.9835580.984603 0.985613 0.986587 40 979039 980228 981380 982496 983576 984620 985629 986603 41 979059 980247 981399 982514 983594 984637 985646 986619 42 979079 980267 981417 982532 983611 984655 985662 986635 43 979100 980286 981436 982551 983629 984672 985679 986651 44 0.979120 0.980305 0.981455 0.982569 0.983647 0.984689 0.985695 0.986667 45 979140 980325 981474 982587 983664 984706 985712 986683 46 979160 980344 981493 982605 983682 984723 985728 986699 47 979180 980364 981512 982624 983700 984740 985745 986714 48 979200 980383 981530 982642 983717 984757 985761 986730 49 50 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 M0I234 LOGARITHMS of the SUм and DIFFERENCE. SUM OR DIFFERENCE. 992678 M. 1520 1530 1540 1550 156° 0.986983 0.987907 0.988797 0.9896510.990471 0.991257 0.992008 0.992725 10 0.987061 0.987983 0.988869 0.9897210.990538 0.991321 0.992069 0.992783 987077 987998 988884 989735 990551 991333 992081 992794 987092 988013 988898 989749 990565 991346 992093 992806 12 987108 988028 988913 989763 990578 991359 992105 992817 13 987124 988043 988927 989777 990591 991372 992117 992829 14 15 16 0.987139 0.988058 0.988942 0.9897900.990605 0.991384 0.992130 0.992841 987155 988073 988956 989804 990618 991397 992142 992852 987170 988088 988970 989818 990631 991410 992154 992864 17 987186 988103 988985 989832 990644 991422 992166 992875 18 987202 988118 988999 989846 990658 991435 992178 992887 19 0.987217 0.988133 0.9890140.989860 0.990671 0.991448 0.992190 0.992898 20 987233 988148 989028 989873 990684 991460 992202 992910 21 987248 988163 989042 989887 990697 991473 992214 992921 22 987264 988178 989057 989901 990711 991486 992226 992933 23 987279 988193 989071 989915 990724 991498 992239 992944 24 0.987295 0.988208 0.989085 0.9899290.9907370.991511 0.992251 0.992956 25 987310 986223 989100 989942 990750 991524 992263 992967 26 987326 988237 989114 989956 990763 991536 992275 992979 27 987341 988252 989128 989970 990777 991549 992287 992990 28 987357 988267 989143 989984 990790 991561 992299 993002 29 30 31 32 34 35 36 37 38 39 0.987449 0.988356 0.989228 0.990066 0.990868 0.991637 0.992370 0.993070 987465 988371 989243 990079 990882 991649 992382 993081 36 987480 988386 989257 990093 990895 991662 992394 993093 987496 988401 989271 990107 990908 991674 992406 993104 38 987511 988416 989285 990120 990921 991687 992418 993115 0.987372 0.988282 0.989157 0.989997 0.990803 0.991574 0.992311 0.993013) 987388 988297 989171 990011 990816 991586 992323 993024 31 987403 988312 989186 990025 990829 991599 992335 993036 32 987419 988327 989200 990038 990842 991612 992347 993047 33 987434 988342 989214 990052 990855 991624 992358 993059 34 35 37 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 58 0.987679 0.988578 0.989441 0.990270 0.991064 0.991823 0.992549 0.993240 987695 988592 989455 990283 991077 991836 992560 993251 51 987710 988607 989469 990297 991090 987725 988622 989483 990310 991102 987740 988636 989497 990324 991115 991873 992596 993284 54 0.9877560.988651 0.989511 0.990337 0.991128 0.991885 0.992607 0.993296| 987771 988666 989525 990351 991141 991897 992619 993307 56 987786 988680 989539 990364 991154 991910 992631 993318 57 987801 988695 989553 990378 991167 991922 992643 993329 58 0.987526 0.988430 0.989300 0.990134 0.990934 0.991699 0.992430 0.993127 987542 988445 989314 990148 990947 991712 992442 993138 987557 988460 989328 990161 990960 991724 992454 993149 42 987572 988475 989342 990175 990973 991736 992466 993161 43 987588 988489 989356 990188 990986 991749 992478 993172 44 0.987603 0.988504 0.989370 0.990202 0.990999 0.991761 0.992489 0.993183 987618 988519 989384 990215 991012 991774 992501 993195 46 987634 988533 989399 990229 991025 991786 992513 993206 47 987649 988548 989413 990243 991038 991799 992525 993217 48 987664 988563 989427 990256 991051 991811 992537 993228 49 50 40 41 45 991848 992572 993262 52 991860 992584 993273 53 55 LOGARITHMS of the SUM and DIFFERENCE. 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 163° 164° 165° 166° 1670 0.993351 0.994003 0.994620 0,995203 0.9957530.996269 0.9967510,997199 993363 994013 994630 995213 995762 996277 996758 997206 1 993374 994024 994640 995222 995771 996285 996766 997214 2 993385 994034 994650 995231 995779 996293 996774 997221 993396 994045 994660 995241 995788 996302 996782 997228 5 0.993407 0.994055 0.994670 0.9952500.995797 0.996310 0.996789 0.997235 993418 994066 994680 995260 995806 996318 996797 997242 993429 994076 994690 995269 995815 996327 996805 997249 993440 994087 994700 995278 995823 996335 996812 997257 8 993451 994097 994710 995288 995832 996343 996820 997264 9 0.993462 0.994108 0.9947190.995297 0.9958410.996351 0.996828 0.997271 10 993473 994118 994729 995306 995850 996359 996835 997278 11 993484 994129 994739 995316 995859 996368 996843 997285 12 993495 994139 994749 995325 995867 996376 996851 997292 13 993506 994150 994759 995334 995876 996384 996858 997299 0.993517 0.994160 0.994769 0.995344 0.995885 0.996392 0.996866 0.997306 993528 994171 994779 995353 995894 996400 996874 997313 16 993539 994181 994789 995362 995902 996409 996881 997320 17 993550 994191 994798 995372 995911 996417 996889 997327 18 993561 994202 994808 995381 995920 996425 996896 997334 19 0.9935720.9942120.994818 0.995390 0.9959280.996433 0.996904 0.997341 20 993583 994223 994828 995399 995937 996441 996911 997348 21 993594 994233 994838 995409 995946 996449 996919 997355 22 993605 994243 994847 995418 995954 996457 996927 997362 23 993616 994254 994857 995427 995963 996465 996934 997369 24 14 15 0.993627 0.994264 0.994867 0.995436 0.9959720.996473 0.996942 0.997376 25 995446 995980 996482 996949 997383 26 996490 996957 997390 27 996498 996964 997397 28 29 30 31 32 33 34 35 36 37 38 39 993660 994295 994896 993670 994305 994906 995473 996006 996506 996972 997404 29 0.9936810.994316 0.994916 0.995482 0.996015 0.996514 0.996979 0.997411 993692 994326 994926 995491 996023 996522 996987 997418 993703 994336 994935 995501 996032 996530 996994 997425 32 993714 994346 994945 995510 996041 996538 997002 997432 33 993725 994357 994955 995519 996049 996546 997009 997439 34 0.993735 0.994367 0.994964 0.9955280.996058 0.9965540.9970160.997445 35 993746 994377 994974 995537 996066 996562 997024 997452 36 993757 994387 994984 995546 996075 996570 997031 997459 37 993768 994398 994993 995554 996083 996578 997039 997466 38 993779 994408 995003 995564 996092 996586 997046 997473 39 30 31 40 41 42 43 44 45 46 47 48 0.993789 0.994418 0.995013 0.995573 0.996100 0.996594 0.997053 0.997480 40 995637 cla 996160 996649 997105 997527 47 995646 996168 996657 997112 997534 48 995655 996176 996665 997120 997541 49 51 52 53 54 50 0.993896 0.994519 0.995108 0.995664 0.996185 0.996673 0.997127 0.997547 993907 994529 995118 995672 996193 996680 997134 997554 993918 994540 995127 995681 996202 996688 997141 997561 52 993928 994550 995137 995690 996210 996696 997149 997568 53 993939 994560 995146 995699 996219 996704 997156 997574 54 50 51 994580 995165 995717 996235 996720 997170 997588 56 994590 995175 995726 996244 996727 997178 997594 57 996735 997185 997601 58 LOGARITHMS of the Sum and DIFFERENCE. SUM OR DIFFERENCE. M. 168° 1710 0 4 6 8 9 10 11 12 13 14 1690 1700 10 0.9976140.997996 0.998344 0.9986590.998941 0.9991890.999404 0.999586 997621 998002 998350 998661 998945 999193 999408 999589 997628 998008 998355 998669 998950 999197 999411 999592 997634 998014 998361 998674 998954 999201 999414 999595 997641 998020 998366 998679 998958 999205 999418 999597 4 0.997647 0.998026 0.998372 0.998684 0.998963 0.999208 0.999421 0.999600 997654 998032 998377 998689 998967 999212 999424 999603 997661 998038 998383 998694 998971 999216 999427 999605 997667 998044 998388 998699 998976 999220 999431 999608 8 997674 998050 9983941 998703 998980 999224 999434 999611 0.997680 0.998056 0.998399 0.998708 0.998984 0.999227 0.999437 0.999614 997687 998062 998404 998713 998989 999231 999440 999616 11 997693 998068 998410 998718 999443 999619 12 997700 998074 998415 998723 999447 999621 13 997706 998080 998421 998728 999002 999242 999450 999624 14 1720 998993 999235 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0.997713 0.998086 0.998426 0.998733 0.999006 0.999216 0.999453 0.999627 15 20 997752 998122 998458 998761 999031 999268 999472 999642 21 997758 998128 998464 998766 999036 999272 999475 999645 22 997765 998133 998469 998771 999040 999276 999478 999647 23 997771 998139 998474 998776 999044 999279 999481 999650 0.9977770.998145 0.998479 0.998781 0.999048 0.999283 0.999484 0.999653 997784 998151 998485 998785 999053 999286 999487 999655 26 997790 998157 998490 998790 999057 999290 999490 999658 27 997797 998163 998495 998795 999061 999294 999493 999660 28 997803 998168 998501 998799 999065 999297 999496 999663 29 0.9978090.998174 0.998506 0.998804 0.999069 0.999301 0.999500 0.999665 997816 998180 998511 998809 999073 999304 999503 999667 31 997822 998186 998516 998813 999077 999308 999506 999670 32 997828 998192 998522 998818 999082 999312 999509 999672 33 997835 998197 998527 998823 999086 999315 999512 999675 34 35 45 0.997841 0.998203 0.998532 0.998827 0.999090 0.999319 0.999515 0.999677 997847 998209 998537 998832 999094 999322 999518 999680 36 997854 998215 998542 999098 999326 999521 999682 37 997860 998220 998548 999102 999329 999524 999685 38 997866 998226 998553 998846 999106 999333 999526 999687 39 0.997872 0.998232 0.998558 0.998851 0.999110 0.999336 0.999529 0.999689| 40 997879 998238 998563 998855 999114 999340 999532 999692 41 997885 998243 998568 998860 999118 999343 999535 999694 42 997891 998249 998573 998864 999122 999347 999538 999696 43 997897 998255 998578 998869 999126 999350 999541 999699 44 0.9979040. 998260 0.998583 0.998873 0.9991300.999354 0.999544 0.999701 997910 998266 998589 998878 999134 999357 999547 999704 46 997916 998272 998594 998883 999138 999361 999550 999706 47 997922 998277 998599 998887 999142 999361 999553 999708 48 997928 998283 998604 998892 999146 999367 999556 999711 49 50 0.997935 0.998289 0.998609 0.9988960.9991500.999371 0.999558 0.999713 50 997941 998294 998614 998901 999154 999374 999561 999715 51 997947 998300 998619 998905 999158 999378 999564 999717 52 997953 998305 998624 998910 999162 999381 999567 999720 53 997959 998311 998629 998914 999166 999384 999570 999722 54 0.997965 0.998316 0.998634 0.998919 0,9991700.999388 0.9995720.999724 55 997972 998322 998639 996923 999174 999391 999575 999726 56 997978 998328 998644 998927 999178 999394 999578 999729 57 997984 998333 998649 998932 999181 999398 999581 999731 58 24 25 30 102 103 104 100 000000 000434 000868 001301 001734 002166 002598 003029 003460 003891 101 004321 004751 005180 005609 006038 006166 006894 007321 007748 008174 008600 009026 009451 009876 010300 010724 011147 011570 011993 012415 012837 013259 013680 014100 014520 014940 015360 015779 016197 016615 017033 017451 017868 018284 018700 019116 019532 019947 020361 020775 432 428 424 420 416 112 113 116 117 118 119 120 121 122 123 126 127 128 129 First 105 021189 021603 022016 022428 022841 023252 0236641 024075 024486 024896 432 428 424 420 416 412 408 404 400 397 393 390 386 383 379 376 373 370 366 363 360 357 355 352 349 346 343 341 338 400 300 200 100 90 80 70 60 50 40 30 20 10 9 8 7 6 5 4 321 926 694 463 231 208 185 162 139 116 093 069 046 023 021 019016014 012 009 007 005 002 934701 467 234 210 187 164 140 117093 070047 023 021 019016014 012 009 007 005 002 943 708 472 236 212 189 165 142 118 094 071 047 024 021 019 017 014 012 009 007 005 002 952 714 476 238 214 190 167 143 119 095 071 048 024 021 019 017 014012010007 005 002 962 721 481 240 216 192 168 144 120 096 072 048 024 022 019 017 014 012 010 007 005 002 971 728 485 243 218 194 170 146 121 097 073 049 024 022 019 017 015 012010 007 005 002 980 735 490 245 221 196 172 147 123 098 074 0419 025 022 020 017 015 012 010 007 005 002 990 742 495 248 223 198 173 149 124 099 074 050 025 022 020 017 015 012 010 007 005 002 1000 749 500 250 225 200 175 150 125 100 075 050 025 023 020 018 015 013 010 008 005 003 756 504 252 227 202 176 151 126 101 076 050 025 023 020 018 015 013 010 008 005 003 763 509 254 229 203 178 152 127 103 076 051 025 023 020 018 015 013 010 008 005 003 769 513 256 231 205 179 154 128 103 077 051 026 023 020 018 015 013 010 008 005 003 777 518259 233 207 181 155 130 104 078 052 026 023 021 018 016 013 010 008 005 003 784 522 261 235 209 183 157 131 105 078 052 026 023 021 018 016 013 010 008 005 003 791 527 264 237 211 185 158 132 106 079 053 026 024 021 018 016 013 011 008 005 003 798 532 266 239 213 186160 133 106 080 053 027 024 021 019 016 013 011 008 005 003 804 536 268 241 214188 161 134 107 080 054 027 024 021 019 016 013 011 008 005 003 811 541 270243216189 162 135 108 081 054 027 024 022 019 016 014 011 008 005 003 818546 273 246218 191 164 137 109 082 055 027 025 022 019016014 011 008 005 003 826 551 275 248 220 193 165 138 110 083 055 028 025 022 019 017 014 011 008 005 003 833 555 278250 222 195 167 139 111 083 056 028 025 022 019 017 014 011 008 005 003 840 560 280 252 224 196168 140 112 084 056 028 025 022 020 017 014 011 008 005 003 846564 282 254 226 197 169 141 113 085 056 028 025 022 020 017 014 011 008 005 003 852 568 284 256 227 199 170 142 114 085 057 028 026 023 020 017 014 011 009 006 003 860 573 287 258 229 201 172 143 115 086 057 029 026 023 020 017 014 011 009 006 003 867 578 289 260 231 202 173 145 116 087 058 029 026 023 020 017 014 012 009 006 003 874 583 291 262 233 204 175 146 117 087 058 029 026 023 020 017 015 012 009 006 003 881 587 293 264 235 205 176 147 117 088 059 029 026 023 021 018 015 012 009 006 003 888 592 296 266 237 207 178 148 118 089 059 030 027 024 621 018 015 012 009 006003 432 428 424 420 416 412 408 404 400 397 393 390 386 383 379 376 373 370 366 363 360 357 355 352 349 346 343 341 338 |