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L <br />TABLE V <br />CURVE FORMULAE FOR SIMPLE CURVES <br />COMPILED BY J. CALVIN LocKp, C.E. <br />(1) c = 2Ra (2) c = tea'+b' <br />(3) c = '1/2R (R— (R+b) (R — b,5.= -11/2R.(R <br />(4) c = 2 m (2R—m) (6) c = 2T cos I <br />(5) c = 2R sin Y2 I <br />(7) e = R exsec Y I <br />(8) e= R tan 2 I tan y4 I (9) e T tan y4 I <br />(10) b <br />s C' <br />(11) b = I (c+ 2R ) Cc — 2A / c� 4R' <br />(12) b=Rsin I (13) b=acot. Y2I <br />C2 9 4 <br />a'+b' c (15) R = d _ c +4mf <br />(14) R = 2a = 2a Zm 8m <br />(16) d = R (2R (2R+c) (2R — c) _ VR(2R — 4R' — c') <br />(17) d = N/2—Rm (18) d = 2R sin Y4 I (19) m = R <br />I IlR— <br />( <br />(20) m=RT�I(RF 2/ l 2 )=R��IR'— 4 <br />�I �I <br />(21) m= R vers y I (22) m= R sin % I tan % I (23) m= j a c tan y4I <br />(24) a 2ii (25) a = R — (R+b) (R — b) = R — R' — b- <br />(26) a = 2 R (sin' ji I)' (27) a = R vers I (28) a = R sin I tan M <br />(29) a= b tan Y I (30) a= T sin I (31) T= R tan M I <br />(32) I= R X 57.295780 (33) R= I X 57.295780 <br />(34) L = IR X 0.01745329 (35) L = 8d 3 c <br />i I:1t` I Sin I = LR l Rb <br />. (36) Area Seg. _ <br />TABLE VI <br />SINES, COSINES, TANGENTS, COTANGENTS <br />or sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />sin <br />tan <br />v0' <br />0' <br />10' <br />10' <br />20' <br />' 20' <br />30' <br />30' <br />40' <br />40' <br />50' <br />S0' <br />0 0000 <br />0000 <br />0029 <br />0029 <br />0058 <br />0058 <br />0087 <br />0087 <br />0116 <br />0116 <br />0145 <br />014 <br />1 175 <br />0175 <br />0204 <br />0204 <br />0233 <br />0233 <br />0262 <br />262 <br />291 <br />291 <br />320 <br />32 <br />2 349 <br />349 <br />378 <br />378 <br />407 <br />407 <br />436 <br />437 <br />465 <br />466 <br />494 <br />49 <br />3 523 <br />524 <br />552 <br />553 <br />581 <br />582 <br />610 <br />612 <br />640 <br />641 <br />669 <br />7C <br />4 698 <br />699 <br />727 <br />729 <br />756 <br />758 <br />785 <br />787 <br />814 <br />816 <br />843 <br />86 <br />5 872 <br />875 <br />901 <br />904 <br />929 <br />934 <br />958 <br />963 <br />987 <br />992 <br />1016 <br />102 <br />6 1045 <br />1051 <br />1074 <br />1080 <br />1103 <br />1110 <br />1132 <br />111161 <br />39 <br />1169 <br />790 <br />19 <br />7 219 <br />228 <br />248 <br />257 <br />279 <br />287 <br />305 <br />317 <br />334 <br />346 <br />363 <br />37 <br />8 392 <br />405 <br />4211 <br />4351 <br />449 <br />465 <br />473 <br />495 <br />507 <br />524 <br />536 <br />a <br />13 250 309 278 <br />14 419 493 447 <br />15 588 679 616 <br />1 16 756 867 784 <br />^I 17 924 3057 952 <br />183090 2493118 <br />19 256 443 283 <br />20 426 640 448 <br />21 584 839 611 <br />22 746 4040 773 <br />23 907 245 934 <br />24 4067 4524094 <br />25 226 663 253 <br />26 384 877 410 <br />27 540 5095 566 <br />28 695 317 720 <br />29 848 543 874 <br />31 150 6009 175 <br />32 299 249 324 <br />33 446 494 471 <br />34 592 745 616 <br />35 736 7002 760 <br />36 878 265 901 <br />40 <br />428 <br />391 <br />450 <br />44 <br />41 <br />561 <br />693 <br />583 <br />74 <br />42 <br />691 <br />9004 <br />713 <br />9M <br />43 <br />820 <br />325 <br />841 <br />3E <br />44 <br />947 <br />657 <br />967 <br />71 <br />45 <br />7071 <br />1.0000 <br />7092 <br />1.00f <br />b; <br />60' <br />60' <br />S0' <br />50' <br />cos <br />cot <br />cos <br />cot <br />823 822 853 851 883 880 91 <br />2004 994 2035 2022 2065 2051 209 <br />1862164 217 193 247 221 27 <br />370 334 401 363 432 391 46 <br />555 504 586 532 617 560 64 <br />742 672 773 700 805 728 83 <br />931,840 962 868 994 896 302 <br />3121 3007 3153 3035 3185 3062 21 <br />314 173 346 201 378 228 41 <br />508 338 541' 365 574 393 60 <br />706 502 739 529 772 557 80 <br />906 665 939 692 973 719 400 <br />4108 827 4142 854 4176 881 21 <br />314 987 3484014 3834041 41 <br />5224147 557 173 592 200 62 <br />734 305 770 331 806 358 84 <br />9504462 986 488 5022.514 5059 63 <br />5169 617 5206 643 243 669 28062 <br />392 772 430 797 467 823 505 61 <br />619 924 658 950 696 975 735 60 <br />8515075 890 5100 9305125 96959 <br />60&4 225 6128 250 6168 275 6208.58 <br />330 5373 371 398 412 422 45357 <br />577 519 619 544 661 568 703 56 <br />830 664 873 688 916 712 95955 <br />7089 807 7133 831 7177 854 7221 54 <br />355 948 400 972 445 995 49053 <br />627 6088 6736111 7206134 766 52 <br />907 225 954 248 8002 271 805051 <br />8195 361 8243 383 292 406 34250 <br />491 494 541 517 591 539 64249 <br />796 626 847 648 899 670 95248 <br />9110 756 9163 777 9217 799 927147 <br />435 884 490 905 545 926 60146 <br />770 7009 8277030 8847050 94245 <br />1.0117 133 1.0176 153 1.0235 173 1.0295 44 <br />40' 30' 30' 20' 20 10' 10' ba <br />cot cos cot ,Cos cot cos cot :; <br />