10 20 5 30 6 40 50 54 10 20 30 40 0 0.000112 01020091 0080 0067 0053 7 8 54 10 20 30 40 O' 53' 0" 0.000042 0027 0012 9996 9980 9964 1-2 0042 0027 0012999699799963 2 3 00410026 0011 9995 9989 9962 3 5 0041 00260010 99949978 9961 4 6 0040 0025009 9993 9977 99605 8 0039 0024 0009 9993 99769959 6 10 7 11 0.000039 0024 0008 99929975 9958 0038 0023 00079991 9974 9957 8 13 0038 0022 0007 9990 9973 9956 0037 0022 0006 9989 9973 9955 0037 0021 0005 99899972 9955 0036 0020 0004 9988 9971 9954 0.000036 0020 0004 9987 9970 9953 0035 0019 0003 9986 9969 9952 0035 0019 0002 9985 9968 9951 0034 0018 0002 9985 9968 9950 0033 0017 0001 9984 9967 9949 0033 0017 0000 9983 9966 9948 1'= 2 0.000032 0016[0000 99839965 9948 0028 00129995 99779959 9941 1'= 2 2 3 5 0026 0009 9992 9974 9956 9937 00.000025 0008 9991 99749955 9937| 0025 0008 9990 9973 995 9936 4 0024 0007 9990 99729953 9935 0024 0006 9989 9971 9952 9934 4 7 0023 0006 9988 99709952 9933 5 9 0023 0005 9987 9969 9951 9932 6 11 7 13 0.0000220005 9987 9969 9950 9931 8 14 0021 0004 9986 9968 9949 9930 9 16 0021 0005 9985 9967 9948 9929 0027 00109992 9975 9957 9958 30 0107 00950082 0068 0053 0037 30 0020 0003 9985 9966 9947 9928 40 0107 0095 0081 0067 005210036| 40 0020 0002 9984 9965 9947 9927 50 0107 0094 0081 0067 0052 0036 50 60 0 10 20 30 40 50 61 LOGARITHMIC DIFFERENCE. 10 20 5 30 40 50 54 10 20 30 40 50 55 10 20 30 40 50 Moon's Hor. Par. 10' 20' 30' 40 50' Sub. 10' 20' 30 40 50 Sub. 53' 0 9.999947 992 9911 9894 9876 9857 12 53′ 0′′ 9.999839 9821 9802 9783 9764 9745| 1'= 2 9946 9928 9910 9893 9874 9856 2 4 9838 9819 9800 97829763 9755 2 4 9945 9927 9909 9891 98739855 3 9837 9818 9799 9780 9761 9742 3 6 9944 9926 9908 9890 9872 9855 4 7 9835 9816 9797 9779 9760 9740 4 8 9943 9925 9907 9889 9371 9852 5 9 9833 9815 9796 9777 97589739 5 9 9942 9924 9906 9888 9869 9851 6 11 98329815 9794 97759756 9737 6 11 7 13 09.999941 9923 9905 9887 9868 98507 13 09.999831 9812 9793 9774 9755 9735 8 15 9830 9811 9791 9772 9753 9734 9 17 9829 9809 9790 9771 9751 9732 9827 9808 9788 9769 9750 9730 9826 9866 9787 9768 9748 9729 9824 9805 9786 9766 9747 9727 9.999823 980397849765 9745 9725 9821 9802 9782 9763 9743 9724 9820 9801 9781 9761 9742 9722 9819 97999779 8760 97409720 1'= 2 9817 9798 9778 9758 9739 9719 2 4 9816 9796 9777 9757 9737 9717 3 6 4 8 09.999815 9795 9775 9755 9735 9715 5 10 9813 9793 9774 9754 9734 9713 9812 9792 9772 9752 9732 9712 9811 9791 9771 9551 9730|9710| 9809 9789 9769 9749 97299708 9808 9788 9768 9747 97279707 50 9936 9918 9899 9881 9862 9843 0 9.999935 9917 9898 9880 9861 9842 9934 9916 98979879 9860 9841 9933 9915 9896 9877 9858 9839 10 20 30 40 50 10 20 30 40 50 55 0 20 30 40 50 10 10 20 30 40 0' 10' 201 30 40/ 50 Sub. 12 53' 0" 9.999612 9593 9573 9554 9535 9515 12 9610 9590 9571 9552 953219513 2 4 9608 9588 9569 9549 9530 9510 3 6 9606 9586 9567 9547 9528 9508 4 8 9604 9584 9564 9545 9525 9506 5 10 9602 9582 9562 954295239503 6 12 9.999599 9579 9560 9540495209501 7 14 95979577 9558 9538 9518 9498 816 9595 9575 9555 9536 951694969 18 9593 9573 9553 9533 9514 9493 Ꭴ 10' 20' 30' 40', 50 53' 0" 9.999727 9707 96889669 9650 9631 9725 9706 9687 9667 9648 9629 2 4 9723 9704 9685 9665 96469627 3 6 9721 9702 9683 9664 96449625 4 8 9720 9700 9681 9662 96429623 5 10 50 9718 9698 96799660 96409621 6 12 54 0 9.999716 9697 9677 9658 9638 9618 9714 9695 9675 9656 9636 9616) 9713 9693 9673 9654 9634 9614 9711 6691 9671|9652-9632 9612 9709 9689 9670 9650 9630 9610 9707 9688 9668 9648 9628 9608 10 20 30 40 50 55 0 9.999706 9686 9666 9646 9626 9606 9704 9684 9664 9644 6624 9604 10 20 30 40 50 10 20 30 20 30 09.999587 9566 9546 9526 9506 9486 9584 9564 9544 9524 9504 9483 9582 9562 9542 9522 9502 9481 9580 9560 9540 9519 9499 9479 12 9578 9558 9537 9517 94979476 2 4 9576 9555 9535 9515 9494 9474 3 6 09.9995749553 9533 9513 9492 9471 4 8 9571 9551 9531 9510 9490 9469 5 10 9569 9549 9528 9508 9487 9466| 6 12 95679547 9526 9505 9485 9464 7 14 9565 9544 9524 9503 9483 9462 9563 9542 9522 9501 9480 9459 09.999561 9540 9519 9498 9478 9457 9559 9538 95179496 9475 9454 8 16 9 18 40 50 9553 9531 9510 9489 9468 9447 9551 9529 9508 9487 9466 9444 123 3 4 6 13 9 19 30 40 9529 9507 9485 9464 9442 9420| 95271250519483 9461 9440 9418 10 20 30 40 154 50 10 0 20 30 53′ 09.999496 9476 9457 9137 9418 9399 17253' 0" 9.999380 9360 9341 9321 9302 9283 1'=2 9494 9474 94549435 9416 9396 2 4 9491 9471 2452 9432 9413 9393 3 6 94830469 9449 9429 94109391 4 8 9496 9466 9446 9427 9407 9388 5 10 9484 94649444 9424 9405 9385 6 12 9.999481 9461 9441 9421 9402 9382 7 14 54 0 9.999363 9343 9325 9303 9283 9264 9479 9459 9439 9419 93999379 8 16 9476 94569466 9416 939693779 18 9474 9454 9433 9413 9394 9374 10 20 50 9377 9357 9338 9318 9299 9280 2 4 9374 9354 9335 9315 9296 9277 3 6 9371 9351 9332 9312 9293 9273 4 8 9369 9549 9329 9309 9290 9270 5 10 9366 9346 9326 9306 9286 9267 6 12 10 20 30 9360 9340 9320 9300 9280 9261 9357 9337 9317 9297 9277 9258 9354 9334 9314 9294 9274 9254 9351 9331 9311 9291 9271 9251 9348 9328 9308 9288 9268 9248 09.999345 $325 $305 9285 9265 9245 9342 9322 9302 9282 9262 9242 9339 9319 9299 9279 9258 9238 9337 9316 9296 9276 9255 9235 12 9334 9315 9293 9273 9252 9232 2 9831 9310 9290 9269 9249 9229 36 09.999328 9308 9287 9266 9246 9226 7 14 8 16 9 18 10 20 30 40 10 20 30 40 50 58 10 20 30 57 0 9.999437 9415 9394 9373 9352 9331 9434 94129392 9370 9349 9329 9432 9410 9389 9368 9347 9325 9429 9407 9386 9365 9344 9323 9427 9405 9384 9362 9341 9320) 9424 9402 9381 9360 9338 9317 09.999422 9400 9379 9357 9336 9315 $419 9397 9376 9354 9333 9312 9417 9395 9373 9352 9330 9309 9414 9392 9371 9349 9327 9306] 6 13 40 7 15 9325 9305 9284 9263 9243 9223 5 10 9322 9302 9281 9260 9240 9220 6 12 9320 9299 9278 9257 9237 9216 7 14 9317 9296 9275 9254 9233 9213 8 16 50 9314 9293 9272 9251 9230 9210 9 18 57 0 9.999311 9290 9269 9248 9227 9207 9308 9287 9266 9245 9224 9204 9305 9284 9263 9242 9221 9200 9303 9281 9260 9239 9218 9197 9300 9278 9257 9236 9215 9194 9297 9275 9254 9233 9212 9194 09.999294 9272 9251 9230 9209 9188 2 4 9291 9269 9248 9227 9205 9184 3 6 9288 9267 9245 9224 9202 9181 4 9 9286 9264 9242 9221 91999178 5 11 9283 9261 9239 9217 9196 6175 6 13 9280 9258 9236 9214 9193 91727 15 09.999277 9255 9233 9211 9190 9169 8 17 9274 9252 9230 9208 9187 9165 9 19 9271 9249 9227|9205|9184 9162 9268 9246 9224 9202 9180 9159 1'= 2 9265 9243 9221 91999177 9156 50 9394 9372 9350 9327 9305 9283 50 9262 9240 9218 9196 9174 9153 54 20 Apparent Altitude Moon's Center. 9 Degrees. 10' 20' 30' 40' 50' Pro. Part to min. of alt. Sab. 9.999148 9129 9109 9090 9071 90512 9144 9125 9105|9086|9067|9047 2 4 91409121 910119082|90639043 3 6 9137 9118 9098 9079 9060 90404 8 9133 9114 9094 9075|90569036 5 10 9129 9110 90909071 90529032 6 12 09.999126 9107 9087 9068 9048 9029 7 14 91229103 9083 9064 9044 9025 8 16 9119 9099 9080 9060|9040|9021 9 18 9115 9095 90769056|9036 9017 9112 9092 9072 90539033 9013 9108 9088 9068 9049 9029 9009 30 40 50 10 20 30 40 50 10 20 30 40 50 56 0 10 1'=2 2 4 55 09.999105 9085 9065 9045 9025 9005 9101 9081 9061 9041 9021 9001 9098 9078 9058 9038 90178997 9094 9074 9054|9034|9013 8993 9091 9071 9050|9030|90108989 9087 9067 9046|9026|90068985 9.999083 9063 9042 9022 9002 89814 8 9079 9059 9038 9018 8998 8977 5 10 9076 9056 9035 9015 8994 8973 6 12 9072 9052 9031 9011 89908969 14 9069 9048 9028 9007|8986 8966 8 16 9065 9044 9024 9003 8982 8962 9 18 9.999062 9041 9020 9000 8979 8958 9058 9037 9017 8996 8975 8955 9055 9034 9013|8993|8972 8951 9051 9030 9009 8989 8968 8947 9048 9027 9006 8985 8964 8943 9044 9023 900289818960|8939 9.959040 9019 8998 8977 8956 8935 1= 2 9037 9016 8995 8974 8952 8931 2 4 9033 9012 8991 8970 8948 8927 5 6 9029 9008 8987 8966 8944 8923 4 9 0026 9005 8983 8962 8941 8919 5 11 9022 9001 8979 8958 89378915 6 13 59 09.9990188997 8975 8954 8933 8911 7 15 8 17 10 9014 8993 8971 8950 8929 8907 9 19 90118990 8968 8947 8925|8904| 9007 8986 8964 8943 8921 8900 9004 8962 8961 8339 8917 8896 9000 8978 8957 8935 8913 8892 9.998997 8975 8953 8932 8910 8888 8993 8971 8949 8929 8906 8884 8990 8968 8946 8924 8902 8980 8986 8964 8942 8920 8898 8876 1/2 8982 8960 8938 8916 8894 8872 2 4 8979 8957 8935 8915 8890 8868 37 09.998975 8953 8931 8909 8886 8864 4 9 8971 8949 8927 8905 8882 8360 5 11 8968 8946 8923 8901 8879 8856 6 13. 8964 8942 S919 8897 8875 8852 7 16 | 8960 8938 8915 8893 8871 8848 8 18 8957 8935 8912 8890 8867 8845 9 20 09.998953 8931(8908|888618863|8841| 10 20 20 30 30 |