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-- b --------- <br />d <br />7' <br />CL <br />``C Z <br />R <br />V <br />TABLE V <br />CURVE FORMULAE FOR SIMPLE CURVES <br />COMPILED BY.J. CALVIN LOCKE, C.E. <br />(1) c = 1i2Ra (2) c = .\/a'+b' <br />(R—, (R+b) (R — b) = '/2R(R. <br />(4) c = 2 m (2R—m) <br />(5) c = 2R sin Y2 I (6) c = Zr cos 3/ I <br />(7) e= R exsec Y2 I I <br />(8) a= R tan 3/ 1 tan Y I (9) e= T tan Y4 <br />(10) b = 1/s (2R—a) <br />c' <br />s _ c <br />(11) b = _ I (c+ 2R / Cc 2R ! c� 4R' <br />(12) b = Rvsin I (13) b a cot Y21 <br />a'+b' c' _ d' _ c'+4m' <br />(14) R = 2 _ (15) = 2m 8m <br />a 2a <br />(16) d = R (2R-1/(2R+c) (2R — c)='\/R(2R—,\/4R.' — c') <br />• d' <br />(17) d = 2Rm (18) d = 2R sin Y I (19)171= 2R <br />c R— c .R+,IR'— c' <br />(20) •m =$ ,� I (R 12/ 1 2! v 4 <br />(21) m= R vers Y2I (22) m= Rain 7/ I tan % I (23) m= Y2e tan Y41 <br />(24) a 2R (25). a = R — (R+b) (R — b) = R — •\/R' — b' <br />(26) a = 2 R (sin' Y2 I)' (27) a = R vers I (28) a = R sin I tan 32 <br />(29) a= b tan Y2 I (30) a= T sin I (31) T= R tan Y2 I <br />(32) 1= I X 57.295780 (33) R= I X 57.295780 <br />8d — c <br />(34) L = IRX0.01745329 (35) L = 3 <br />I.R — R' Sin I LR—Rb <br />(36) Area Seg. = 2 - 2 <br />9 <br />1 <br />' TABLE VI <br />SINES, COSINES, TANGENTS, COTANGENTS <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />0' <br />0' <br />10 <br />10' <br />20' <br />20' <br />30' <br />30 <br />40` <br />40' <br />50' <br />60 <br />1000 <br />0000 <br />0029 <br />0029 <br />0058 <br />0058 <br />0087 <br />0087 <br />0116 <br />0116 <br />0145 <br />014; <br />175 <br />0175 <br />0204 <br />0204 <br />0233 <br />0233 <br />0262 <br />262 <br />291 <br />291 <br />320 <br />32C, <br />349 <br />349 <br />378 <br />378 <br />407 <br />407 <br />436 <br />437 <br />465 <br />466 <br />494 <br />495 <br />523 <br />524 <br />55' <br />553 <br />581 <br />582 <br />610 <br />612 <br />640 <br />641 <br />669' <br />706 <br />698 <br />699 <br />727 <br />729 <br />756 <br />758 <br />785 <br />787 <br />814 <br />"1"843 <br />864 <br />872 <br />875 <br />901 <br />904 <br />929 <br />934 <br />958 <br />863 <br />937 <br />9921016 <br />1022 <br />.045 <br />1051 <br />1074 <br />1080 <br />1103 <br />11101132 <br />1139 <br />1161 <br />1169 <br />190 <br />- 19E <br />219 <br />228 <br />248 <br />257 <br />279 <br />287 <br />305 <br />317 <br />334 <br />346 <br />363 <br />376 <br />392 <br />405 <br />421 <br />435 <br />4.19 <br />465 <br />478 <br />495 <br />547 <br />524 <br />536 <br />554 <br />564 <br />584 <br />593. <br />614 <br />622 <br />644 <br />650 <br />673 <br />679 <br />- 703 <br />708 <br />73A <br />376018 <br />53 <br />38 <br />157 <br />81 <br />89 <br />293 <br />809 <br />40 <br />428 <br />39 <br />41 <br />561 <br />69 <br />42 <br />691 <br />90C <br />43 <br />820 <br />32 <br />44 <br />947 <br />65 <br />45 <br />7071 <br />1.00( <br />eo <br />60' <br />60' <br />cos <br />cot <br />Fl <br />1 <br />794 .i 823 822 853 851 883 880 91479 <br />965 2604 9b4 2035 2022 2065 2051 209578 <br />136 186 2164 217 193 247 221 27877 <br />306 370 334 401 363 432 391 46276 <br />476 555 504 586 532 617 560 64875 <br />644 742 672 773 700 805 728 83674 <br />812 931 840 962 868 994 896 302673 <br />939 3121 3007 3153 3035 3185 3062 21772 <br />145 314 173 346 201 378 228 411171 <br />311 508 338 541 365 574 393 60717n <br />673 475 706 502 739 529 772 557 80569 <br />872 638 906 665 939 692 973 719 400668 <br />4074 800 4108 827 4142 854 4176 881 21067 <br />279 961 314 987 3484014 3834041 41766 <br />4874120 5224147 557 •173 . 592 •200 .62865 <br />699 279 734 305 770 331 806 358 84164 <br />913 436 9504462 986 488 5022 514 505963 <br />5132 592 5169 .617 5206 643 243 669 280 62' <br />354 746 392 772 430 797 467.823 50561 <br />581 899 619 924 658 950 696 975 73560 <br />5812 5050 8515075 8905100 9306125 96969 <br />6048 200 6088 225 6128 250 6168 275 620858 <br />289 348 3305373 371 398 412 422 45357. <br />536 495 577 519 619 544 661 568 70356 <br />787 640 830 664 873 688 916 712 95955 <br />7046 783 7089 807 7133 831 7177 854 7221 54 <br />310 925 355 948 400 072 445 995 49053 <br />5816065 6276088 673 6111 7206134 766 52 <br />860 202 907 225 954 248 8002 271 805051 <br />8146 338 8195 361 8243 383 292 406 .34250 <br />441 472 491 494 541 517 591 539 64249 <br />744 604 796 626 847 648 899 670 95248 <br />9057 734 9110 756 9163 777 9217 799 927147 <br />380 862 435 884 490 905 +545 926 60146 <br />713 988 7707009 8277030 8847050 94245 <br />1.0058 7112 1.0117 133 1.0176 153 1.0235 173 1.0295 44 <br />60' 40' 40' 30' 30' 20' 20 10' 10' eo <br />cot cos cot cos cot ,cos cot cos cot °�' <br />