LOGARITHMS, D's Hor. Parallax. Apparent Altitude of 's centre. 10 7.0 710 1.0 10 10 O 10 710 MS 21 021 20 21 40 22 022 2022 4023 023 202340 24 024 202440 54 0242224192416241324102407 2404 2401 23992396 2394 2391 10/2408/24052402 2399 2396 2393 2390 2387 2385 2382|2380 2377 20 23942391 2388 2385 2382 2379 2376 2373 2371 2368 2366 2363 30 23802377 2374 2371 2368 2365 2362 2360 2357 2355 23522350 |402366|2363 2360 2357 23542352 23492346 2344 2341 2339|2336 50 2352 23492346 2343 2340 2338 2335|23322330 2327 2325 2322 55 023392335 2332 2329 23262324 2321 2318 2316231323112308 |10232523222319 231623132310 23072304 2302 2299 2297 2294 20 2311 2308 2305 2302 2299|2296 2293 2291 22882286 2284 2281 30 2297 2294 2291 22882285 2283 2280 2277 2275 2272 2270 2267 40 2284 2281 2278 2275 2272 2269 2266 2263 2261 2258 2256 2253 502270 2267 2264 2261|2258 2256 2253|2250|2248|2245 2243 2240 56 022572253 2250 2247 2244 2242 2239 2236 2234 2231 2229 2226 1022432240 2237 2234 2231 2229 2226 2223 2221 2218 2216 2213 |20|2229|2226 2223 2220 22172215221222102207 2205 2203 2200 30 2216 2213 2210 2207|22042202|2199219621942191 21892186 40 2203 2200 2197 2194 2191 21882185 2183 2180 2178 21762173 50 2189 21862183 2180 2177 2175 2172 2170 2167 2165 21632160 57 02176217321702167 2164 2162 2159 2156 2154 21512149 2146 1021632160 2157 21542151 214921462143 2141 2138 2136 2133 20 2149 2146 2144 2141 2138 2135 2132 2130 2128 2125 2123 2120 30 2136 2133 21302127 2124 212221192117 2115 2112 2110 2107 40 2123 2120 2117 2114 2111 2109 2106 2104 2101 2099 2097 2094 502110 2107 2104 2101 2098 2096 2093 2091 2088 2086 2084 2081 58 02097 2094 2091 2088 2085 2083 2080 2078 2075 2073 2071 2068 102084 2081 2078 2075 2072 2070 2067 2065 2062 2060 2058 2055 20 2071 2068 2065 2062 2059 2057 2054 2052 2049 2047 2045 2042 30 2058 2055 2052 2049 2046 2044 2041 2039 2036 2034 2032 2029 40 2045 2042 2039 2036 2033 2031 2028 2026 2023 2021 2019 2016 50 2032 2029 2026 2023 2020 2018 2015 2013 2010 2008 2006 2003 59 02019 2016 2013 2010 2008 2006 2003 2000 1998 1995 1993 1991 |10|2006 2003 2001 1998 1995 1993 1990 1987 1985 1982 1980 1978 20 1993 1990 1988 1985 1982 1980 1977 1975 1972 1970 1968 1965 30 1981 1978 1975 1972 1969 1967 1964 1962 1959 1957 1955 1953 40 1968 1965 1962 1959 1957 1954 1952 1949 1947 1944 1942 1940 50,1955 1952 1950 1947 1944 1942 1939 1937 1934 1932 1930 1927 60 01943 1940 1937 1934 1931 1929 1926 1924 1921 1919 1917 1915 10 1930 1927 1925 1922 1919 1917 1914 1912 1909 1907 1905 1902 20 1917 1914 1912 1909 1906 1904: 901 1899 1896 1894 1892 1890 30 1905 1902 1900 1897 1894 1892 1889 1887 1884 1882 1880 1877 40 1892|1889 1887 1884 1881 1879 1876 1874 1871 1869 1867 1865 50 1880 1877 1875 1872 1869 1867 1864 1862 1859 1857 1855 1853 61 01868 1865 1862 1859 1857 1854 1852 1850 1847 1845 1843 1840 101855 1852 1850 1847 1844 1842 1839 1837 1834 1832 1830 1828 20 1843 1840 1838 1835 1832 1830 1827 1825 1822 1820 1818 1816 30 1831 1828 1825 1822 1820 1817 1815 1813 1810 1808 1806 1803 25 011.53 10.59 10. 5 9.10 8.167.226.275.33 053 52 51 50 49 48 48 47 46 45 0 10 13.23 12.30 11.38 10.46 9.539. 18. 87.16 1042 41 41 40 39 38 37 36 35 EXAMPLE I. Given the moon's apparent altitude 44° 27', and her horizontal parallax 56/ 55. Required the correction and logarithm? For the Correction. For the Logarithm. In Tab. xix. to alt. 44° 20′ and par. 56' is 19' 54" In Tab.xix.to nearest alt.44 and par.56′50′′ 2028) Tab. A. 55" parallax Tab. B. 7 altitude Sought correction 3 ..Tab. C. 5" parallax Given the moon's apparent altitude 50° 16′, and horizontal parallax 59' 0". Required the correction and logarithm? For the Logarithm. In Tab. xix. to alt. 50° 10′ and par. 59′ is 22 3In Tab. xix. to alt. 50° and par. 59' 0" 1913 "For the Correction. Tab. A. O parallax Tab. B. 6' altitude Sought correction Given the moon's apparent altitude 28° 27', and horizontal parallax 54' 10". Required the correction and logarithm? For the Correction. For the Logarithm. In Tab. xix. to alt. 23° 20' and par. 54′ is 13 3 Tab.xix.to nearest alt. 28° 30′ and par.54/10 2354 Tab. A 10 parallax LOGARITHMS. 's Hor. Parallax. 55 02730 710 1.0 1.0 MS 25 025 20 25 40 26 02620 264027 0273028 02830 29 02930 54 02389 2387 2384 2382 2380 2378 2376 2374 2371 2368 2365 2362 10237523732371 23692367 2364 23622360 2357 23542351 2348 20 2361 2359 2357 2355 23532351 2349 2346 2343 2341 2338 2335 30 2347 23452343 2341 2339 2337 2335 23322329 2327 2324 2321 402334 233223292327 2325|2323|2321|23182315 231323102307 50 2320 2318 231523132311 2309|2307|2304 2301 2299 2296 2293 2306 2304 2301 2299 22972295 2293 2291 2288 2286 2283 2280 10 2292 2290 2288 2286 2284 2282 2280 2277 2274 2272 2269 2266 20 2279 2277 2274 2272 2270 2268 2266 2264 2261|2258 22552253 30 2265 2263 2261 2259 2257 225522532250|2247 224522422239 402251 2249 2247|22452243 2241 2239 2236 22332231|2228 2226 502238 2236 2234 2232|22302228 2226 2223 22202218|2215 2213 56 02224 2222 2220 2218 2216 22142212 2210 2207 2205 22022199 102211 22092207|22052203 2201219921962193 2191 21882185 20 2198 219621932191 21892187 2185 2183 2180 2178 21752172 30 21842182 2180 2178 21762174217221702167 2165 21622159 402171 21692167 2165 21632161 2159 2156 2153215121482146 50 2158 2156 215321512149 21472146 2143 2140 2138 2135 2132 57 02144 2142 2140 2138 2136 2134 2132 2130 2127 2125 21222119 102131 21292127 2125 2123 2121 2119 2117 2114 21122109 2106 20 2118 2116 2114 2112 2110 2108 2106 2104 2101 2099 2096 2093 302105 2103 2101 2099 2097 2095 2093 2091 2088 2086 2083 2080 40 2092 2090 2088 2086 2084 2082 2080 2078 2075 2073 2070 2067 50/2079 2077 2075 2073 2071 2069 2067 2065|2062|2059|2057 2054 58 02066 2064 2062 2060 2058 2056 2054 2052 2049 2046 2044 2041 10 2053 2051 2049 2047 2045 2043 2041 2039 2036 2033 2031 2028 20 2040 2038 2036 2034 2032 2030 2028 2026 2023 2020 2018 2015 30 2027 2025 2023 2021 2019 2017 2015 2013 2010 2007 2005 2003 40 2014 2012 2010 2008 2006 2005 2003 2000 1997 1994 1992 1990 50 2001 1999 1997 1995 1993 1992 1990 1987 1984 1982 1980 1977 59 01989 1987 1985 1983 1981 1979 1977 1975 1972 1969 1967 1964 10 1976 1974 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46 45 44 438 10 13.47 12.5512. 311.11 10.19 9.27 8.35 7.44 104242 41 40 39 33 37 36 35 35) 2013.51 12.59 12. 711.16 10.24 9.32 8.40 7.48 2034 33 32 31 30 29 29 28 27 26 30 13.5513. 312.1211.2010.29 9.37 8.45 7.53 30 25 24 23 23 22 21 20 19 18 17 40 13.59 13. 812.16 11.24 10.33 9.41 8.49 7.58 40 17 16 15 14 13 12 11 10 10 9 5014. 313.1212.2011.29 10.37 9.46 8.54 8. 350 8 7 6 5 4 4 3 2 1 0 31 014. 913.17 12.26 11.34 10.43 9.51 9. 0 8. 9 05049 48 47 47 46 45 44 43 42 1014.1313.22 12.30 11.39 10.47 9.56 9. 5 8.13 1041 41 40 39 38 37 36 35 35 31 2014.17 13.26 12.35 11.43 10.5210. 1 9.10 8.18 20333231 30 30 29|28|27|26|25| 30 14.21 13.30 12.39 11.4810.57 10. 6 9.14 8.23 302424 23 22 21 20 19 18 18 17 40|14.26 13.35 12.44 11.53'11. 210.10 9.19 8.28 40 16 15 14 13 12 121110 9 8 50 14.30 13.39 12.48 11.57 11. 610.15 9.24 8.33 50 7 6 6 5 4 3 2 1 0 0 32 014.3513.44 12.53 12. 211.11 10.20 9.29 8.38 050 49 48 47 47 46 45 44 43 42 10 14.39 13.48 12.57 12. 711.1610.25 9.34 8.43 1042 41 40 39 38 37 36 36 2014.43 13.5313 212.1111.21 10.30 9.39 8.48 2033 32 31 31 30 29 28 27 26 26| 30 14.48 13.5713. 712.1611.25 10.35 9.44 8.54 30 25 24 23 22 21 20 20 19 18 17 40 14.5214. 213.11 12.2111.30 10.40 9.49 8.59 40 16 15 151413121110 50 14.57 14. 713.16 12.26 11.35 10.45 9.54 9. 450 8 7 6 5 4 4 3 2 1 0 53 015. 214.12 13.22 12.3111.41 10.5110. 1 9.10 04948 47 46 46 45 44 43 4241 1015. 714.17 13.27 12.36 11.46 10.56 10. 6 9.15 1041 40 39 38 37 36 36 35 34 33 2015.1214.22 13.31 12.4111.5111. 110.11 9.21 2032 31 31 30 29 28 27 26 26 25 30 15.16 14.26 13.36 12.46 11.5611. 610.16 9.26 30 24 23 22 21 21 20 19 18 17 16 4015.21 14.31 13.41 12.5112. 111.11 10.21 9.31 40 16 15 14 13 12 111110 9 8 50 15.26 14.36 13.46 12.56 12. 611.17 10.27 9.37 50 7 6 6 5 4 3 2 1 34 015.3114.41 13.51 13. 112.1111.2210.32 049 48 47 47 46 45 44 43|4242 1015.35 14.46 13.56 13. 612.1711.27 10.37 9.48 1041 40 39 38 37 37 36 35 34 33 2015.40 14.50 14. 113.11 12.2211.3210.43 9.53 2032 32 31 30 29 28 28 27 26 25 30 15.45 14.55 14. 613.16 12.2711.38 10.48 9.59 30 24 23 23 22 21 20 19 18 18 17 40 15.50 15. 014.1113.2212.3211.43 10.54 10. 440 16 15 14 1413121110 9 9 50 15.55 15. 514.16 13.27 12.38 11.48 10.59 10.1050 8 7 6 5 4 4 3 2 1 0 (35 016. 015.11 14.22 13 33 12.4411.5511. 510.16 048 47 46 46 45 44 43 424141 1016. 515.16 14.27 13.38 12.4912. 011.1110.22104039 38 37 37 36 35|34|33|33| 2016.10 15.2114.3213.43 12.54 12. 611.1710.28 203231 30 29 28 28 27 26 25 24 30 16.15 15.26 14.38 13.49 13. 012.1111.2210.33 3024 23 22 21 20 19 19 18 17 16 4016.20 15.32 14.43 13.5413. 512.1711.2810.39 401515141312111110 50 16.2515.87 14.48 13.5913.11 12.2211.3310.4550 7 6 6 5 4 3 2 2 1 9.42 EXAMPLE IV. Given the moon's apparent altitude 76° 36′ and her horizontal parallax 56' 18". Required the correction and logarithm? For the Logarithm. In Tab. xix. to alt. 76° 30 and par. 56' is 46' 37 In Tab. xix. to nearest alt. 77° and par. 56' 10/2110 For the Correction. Tab. A. 18" parallax Tab. B. 6' altitude Sought correction . Tab. C. 8" parallax 6 Sought logarithm 46' 53" EXAMPLE V. 2112 Given the moon's apparent altitude 16° 25′ and her horizontal parallax 58′ 45′′. Required the correction and logarithm? For the Correction. For the Logarithm. In Tab. xix. to alt. 16° 20′ and par. 58' is 6' 17" Tab.xix.to nearest alt. 16° 20' and par.58′40′′ is 2099 Tab. A. 45" parallax MS300 300 310 31032013201330 331340 341 350 135 54 0,23602358 2356 2354|2352|2349|2347|2345|23442342|23402338 10 2346 2344 2342 2340 23382336|2334 23322330 232823262324 20 2333 233023282326 2324 23222320 2318231623142313 2311 30 2319 2316231423122310 23082306 2304 2302 2300 2299 2297 40 2305 2302 2300 2298 2296 2294 2292 2290|2289 2287 2285 2283 50 2291 2289 2287 22852283 2281 2279|2277|2275|22742272 2270 55 022782275 2273 2271 2269 2267 2265 2263 2262 2260|2258 2256 102264 22622260 2258 2256 2254 225222502248|224622452243 20 2251 2248 22462244 2242 2240 2238/2236 2234 22322231 2229 30 2237 2235 2233 2231|2229 2227 2225 22232221 221922182216 40 2224 2221 221922172215221322112209 2208 22062204 2202 50 2211 2208 220622042202 2200 2198219621942192 2191 2189 56 02197 219421922190 2188 2186 218421822181217921772175 102183 2181 2179217721752173217121692168 216621642162 2021702168 21662164 2162 2160 2158 2156 2154215221512149 30 2157 2155 21532150 2148 2146 21452143 2141 21392138 2136 4021442141 21392137 2135 21332131 21292128 21262124 2122 50 2130 2128 21262124 2122 21202118 2116 2115 2113 21112109 57 02117 2115 2113 21112109 2107 2105 2103 2102 2100 2093 2096 102104 2102 2100 2098 2096 2094 2092 2090 2089 2087 2085 2083 20 2091 2089 2087 2085 2083 2081 2079 2077 2076 2074 2072 2070 30 2078 2076 2074 2072 2070 2068 2066 2064 2063 2061 2059 2057 40 2065 2063 2061 2059 2057 2055 2053 2051 2050 2048 2046 2044 50 2052 2050 2048 2046 2044 2042 2040 2038 2037 2035 2033 2031 58 02039 2037 2035 2033 2031 2029 2027 2025 2024 2022 2020 2018 10 2026 2024 2022 2020 2018 2016 2014 2013 2011 2009 2008 2006 20 2013 2011 2009 2007 2005 2003 2002 2000 1998 1996 1995 1993 30 2001 1998 1996 1994 1993 1991 1989 1987 1985 1983 1982 1980 401988 1986 1984 1982 1980 1978 1976 1974 1973 1971 1969 1967 50 1975 1973 1971 1969 1967 1965 1963 1961 1960 1958 1957 1955 59 01962 1960 1958 1956 1954 1952 1951 1949 1947 1945 1944 1942 10 1950 1948 1946 1944 1942 1940 1938 1936 1935 1933 1931 1930 20 1937 1935 1933 1931 1929 1927 1925 1923 1922 1920 1919 1917 30 1925 1923 1921 1919 1917 1915 1913 1911 1910 1908 1906 1904 40 1912 1910 1908 1906 1904 1902 1900 1898 1897 1895 1894 1892 50 1900 1898 1896 1894 1892 1890 1888 1886 1885 1883 1881 1880 60 018871885 1883 1881 1879 1877 1875 1873 1872 1870 1869 1867 101875 1873 1871 1869 1867 1865 1863 1861 1860 1858 1857 1855 20 1862 1860 1858 1856 1854 1852 1851 1849 1847 1845 1844 1842 30 1850 1848 1846 1844 1842 1840 1838 1836 1835 1833 1832 1830 40 1837 1835 1833 1831 1830 1828 1826 1824 1823 1821 1820 1818 50 1825 1823 1821 1819 1817 1815 1814 1812 1811 1809 1807 1806 61 01813 1811 1809 1807 1805 1803 1802 1800 1798 1796 1795 1793 10 1801 1799 1797 1795 1793 1791 1789 1787 1786 1784 1783 1781 20 1789 1787 1785 1783 1781 1779 1777 1775 1774 1772 1771 1769 301776 1774 1772 17701769 1767 1765 1763 1762 1760 1759 1757 |