{"collection":"astro","html_url":"https://unchartedknowledge.5gfusion.net/browse/astro/aia/aia45.htm","path":"astro/aia/aia45.htm","source_url":"https://sacred-texts.com/astro/aia/aia45.htm","text":"| NAMES. | LONGITUDE. | LATITUDE. | NATURE. | MAGNITUDE. | \n| Ram's following Horn | \u2649 5\u00b0 21' | 9\u00b0 57' N. | \u2644 \u2642 | SECOND. | \n| The Pleiades | \u2649 26 55 | 4 31 N. | \u2642 \u263d | FIFTH. | \n| The Brightest of the Seven Stars | \u2649 27 50 | 4 2 N. | \u2642 \u263d | THIRD. | \n| Occulus Taurus, or the Bull's North Eye | \u264a 6 11 | 2 36 S. | \u2640 | THIRD. | \n| Aldebaran, or the Bull's South Eye | \u264a 7 31 | 5 29 S. | \u2642 | FIRST. | \n| The Bull's North Horn | \u264a 20 17 | 5 22 N. | \u2642 | SECOND. | \n| Bright Foot of Gemini: | \u264b 6 46 | 6 48 S. | \u263f \u2640 | SECOND. | \n| Castor | \u264b 17 48 | 10 4 N. | \u2642 \u2640 \u2644 | FIRST. | \n| Pollux | \u264b 20 59 | 6 40 N. | \u2642 | SECOND. | \n| North Assellus | \u264c 4 45 | 3 10 N. | \u2642 \u2609 | FOURTH. | \n| Pr\u00e6spe, or the Claw of the Crab | \u264c 5 0 | 1 14 N. | \u2642 \u263d | NEBULOUS | \n| South Assellus | \u264c 6 26 | 0 4 N. | \u2642 \u2609 | FOURTH. | \n| Hydra's Heart | \u264c 19 43 | 7 32 S. | \u2644 \u2640 | SECOND. | \n| Cor \u264c, the Lion's Heart | \u264c 27 33 | 0 27 N. | \u2642 | FIRST. | \n| Vindemiatrix | \u264d 7 38 | 10 15 S. | \u2644 \u2640 \u263f | THIRD. | \n| Arista, the Virgin's Spike | \u264e 21 33 | 2 2 S. | \u2640 \u2642 | FIRST. | \n| South Scale | \u264f 12 48 | 0 22 N. | \u2644 \u2640 | SECOND. | \n| North Scale | \u264f 17 0 | 8 46 N. | \u2643 \u2642 | SECOND. | \n| Frons Scorpio | \u2650 0 54 | 1 2 N. | \u2644 \u2640 | SECOND. | \n| Antares, or the Scorpion's Heart | \u2650 7 29 | 4 32 S. | \u263f \u2642 | FIRST. | \n| Right Knee of Ophiucus | \u2650 15 41 | 7 18 N. | \u2644 \u2640 | THIRD. | \n| Capricorn's Tail | \u2652 21 15 | 2 33 S | \u2644 | THIRD. | \n| Scheat Pegasi | \u2653 26 29 | 1 7 N. | \u2644 | SECOND. | \nRules to find the Zodiacal Latitude and Longitude of a Fixed Star, Comet, Planet, or the \u2295, &c. from the Right Ascension and Declination.\n1st. If the right ascension be less than 180\u00b0, it is north; and if it be more than 180\u00b0, it is south.\n2d. To the logarithm co-tangent of the declination add the logarithm sine of the right ascension, measured from \u2648 or \u264e; but if measured from \u264b or \u2651, the logarithm co-sine: the sum (minus 10 in the Index), will be the log. tangent of the angle A.\n3d. If the right ascension and declination be both north, or both south, add 23\u00b0 28' to angle A, and it will give angle B.\n4th. If the right ascension and declination be one north and the other south, the difference between 23\u00b0 28' and angle A will give angle B.\nNote.--If angle B exceed 90\u00b0, the latitude will be of the contrary name to the declination; but if angle B be less than 90\u00b0, the latitude will be of the same name as the declination.\nTo find the Longitude.\nTo the arithmetical comp. of the log. sine of angle A, and the log. sine of angle B, add the log. tang. of R.A. from \u2648 or \u264e, (or the log. co-tang of R.A. from \u264b or \u2651). The sum will be the log. tang. of the longitude from \u2648 or \u264e, or the log. co-tang. of the longitude from \u264b or \u2651.\nTo find the Latitude.\nTo the arithmetical comp. of the log. co-sine of angle A, and the log. co-sine of angle B, add the log. sine of the declination. The sum will be the log. sine of the latitude.\n| N.B. The arithmetical complement of a logarithm is found by subtracting it from | 10.00000 | \n| Example. The log. sine of 13\u00b0 10' is | 9.35752 | \n| | 0.64248. | \nor it may be found with equal ease, by taking each figure (beginning at the left hand or index), from 9, except the last or right-hand figure, which must be taken from 10.\n| Thus: if from | 9.99990 | \n| we take | 9.35752 | \n| It gives | 0.64248 | \nthe object of this being to perform each problem by addition, in lieu of the lengthy process otherwise required.\nEXAMPLE.--Required the zodiacal longitude and latitude or Halley's comet, at noon, on the 18th October, 1835, Greenwich mean time?\nComet's right ascension, 16h 25.31 equal in degrees to 246\u00b0 19', which, being more than 180\u00b0, is south. The declination is 0\u00b0 35' north.\n| Co-tangent dec. | | 0\u00b0 35 | = | 11.99219 | \n| Sine R.A. from \u264e | | 66 19 | = | 9.96179 | \n| Tang. angle A | = | 89 22 | -- | 11.95398 | \n| From angle A take | | 23 28 | | | \n| It gives angle B | | 65 54 | | | \nThen for the Longitude.\n| To the sine angle A (arith. comp.) | | | 0.00003 | \n| Add the sine angle B | | | 9.96039 | \n| And Tang. R. A. from \u264e | 66\u00b0 19' | = | 10.35791 | \n| Tang. longitude from \u264e | 64 20 | = | 10.31833 | \n| Take the long. of \u264e and \u264f from this | 60 0 | | | \n| It leaves | \u2650 4 20, | the longitude. | | \nThen for the Latitude.\n| To the log. co-sine angle A (arith. comp.) | | 1.95650 | \n| Add the log. co-sine angle B | | 9.61101 | \n| And log. sine of the dec | | 8.00779 | \n| It gives the log. sine of the latitude 22\u00b0 6' | = | 9.57530 | \nAs angle B is less than 90\u00b0, the latitude is of the same name as the declination; which being north, the latitude is north also.\nHence the comet will be, at mean noon, Greenwich time, on the 18th of October, 1835, in; 4\u00b0 20', with 22\u00b0 6 north latitude.\n334:1 These are the principal fixed stars, near the ecliptic, to which only the planets can approach. If the student require the places of the stars for the purpose of bringing them to the midheaven or ascendant in a nativity, he may learn their right ascension and declination in the Nautical Almanac for each year, and he may readily calculate their, longitudes and latitudes therefrom by the rules we have given.\nN.B. The longitudes increase about 50\" \u2153 each year; the latitudes do not vary.","title":"Introduction to Astrology: Appendix: List of Fixed Stars ...","type":"page"}