the north towards the west if it be easterly, and the line which constitutes such an angle with the magnetical meridian, will be a true meridian line. For if the variation be westerly, the magnetical meridian will be the quantity of variation of the west side of the true meridian, but if easterly on the east side, therefore the true meridian must be a like quantity on the east side of the magnetical one, when the variation is westerly, and on the west side when it is easterly. How to lay out a true meridian line by the circum ferentor. If the variation be westerly, turn the box about till the north of the needle points as many degrees from the flower-de-luce towards the east of the box, or till the south of the needle points the like number of degrees from the south towards the west, as are the number of degrees contained in the variation, and the index will be then due north and south; therefore if a line be struck out in the direction thereof, it will be a true meridian line. If the variation was easterly, let the north of the needle point as many degrees from the flowerde-luce towards the west of the box, or let the south of the needle point as many degrees towards the east, as are the number of degrees contained in the variation, and then the north and south of the box will coincide with the north and south points of the horizion, and consequently a line being laid out by the direction of the index, will be a true meridian line. This This will be found to be very useful in setting an horizontal dial, for if you lay the edge of the index by the base of the stile of the dial, and keep the angular point of the stile towards the south of the box, and allow the variation as before, the dial will then be due north and south, and in its proper situation; provided the plane upon which it is fixed be duly horizontal, and the sun be south at noon; but in places where it is north at noon, the angular point of the index must be turned to the north. How maps may be traced by the help of a true meridian line. If all maps had a true meridian line laid out upon them, it would be easy by producing it, and drawing parallels, to make out field-notes; and by knowing the variation, and allowing it upon every bearing, and having the distances, you would have notes sufficient for a trace. But a true meridian line is seldom to be met with, therefore we are obliged to have recourse to the foregoing method. It is therefore advised to lay out a true meridian line upon every map. How to find the difference between the present variati on, and that at a time when a tract was formerly surveyed, in order to trace or run out the original lines. If the old variation be specified in the map or writings, and the present be known, by calculation or otherwise, then the difference is immedi ately seen by inspection; but as it more frequently happens, that neither is certainly known, and as the variation of different instruments is not always alike at the same time, the following practical me Go to any part of the premises where any two adjacent corners are known; and if one can be seen from the other, take their bearing; which compared with that of the same line in the former survey, shews the difference. But if trees, hills, &c. obstruct the view of the object, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner; then As the length of the whole line Is to 57.8 degrees* So is the said distance To the difference of variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore NE. 45°, distance 80 perches, and in running this line by the given bearing, the corner is found 20 links to the left hand; what allowance must be made on each bearing to trace the old lines, and what is the present bearing of this particular line by the compass? Answer 34 minutes, or a little better than half a degree to the left hand, is the allowance required, and the line in question bears N. 44°. 26'.E. Note, The different variations do not affect the area in the calculation, as they are similar in evcry part of the survey. * 57.3 is the radius of a circle (nearly) in such parts as the circumference contains 360. A Table of the Sun's Declination: For the Years 1808, 1812, 1816, 1820, Day South. Sout South. North. North. North. 22 22 1121 D. M.D. M.D. M.D. M.D. M.D. M. 55,16 476 46 5 2115 30,15 355 14 6 5714 18 3 40 8 1521 1812 58 2 5 9 1920 3111 35 OS.3011 2319 3910 9 IN. 512 2718 41 8 40 2 38 13 For the Year 4222 20 5216 5022 46 2117 5423 6 4818 5323 20 1:19 4723 27 320 36 23 27 5 21 19 23 21 1809, 1813, 1817, 1821, 2718 30 8 23 2 3313 4721 1723 22 For the Years 1810, 1814, 1818, 1822, 2319 329 58 ON.5312 For the Years 1811, 1815, 1819, 1823, 516 427 35 415 2922 15 316 3516 3822 42 A Table of the Sun's Declination. Days. Each being Leap Year. July. August Sept. | Oct. Nov. Dec. North. North. North. South. South. South. 18 3318 3223 18 119 3123 26 1521 3314 4 3 23 20 27,19 2720 2323 97 Each the first Year after Leap-Year. 323 017 36 7 393 5315 222 10 5 2616 1522 37 2719 1810 10 1S. 3312 4121 Each the second Year after Leap-Year. 823 21 Each the third Year after Leap-Year. 323 S17 43.7 49 3 4214 5322 2 722 4116 39 6 1921 013 205 1516 722 31 1122 1415 30 4 50 6 4717 16/22 58 1521 4014 18 3 18 8 1718 21 459 4519 2123 16: 20.23 25 |