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acres adjustment angle axis bearing bisect bubble calculated celestial sphere chord circle clamp compass corner correct course cross-hairs declination Delta Cassiopeia desired determined diagonal difference direction distance divided division double longitude draw east equal feet field figure given line given point half height horizontal inch instrument intersection latitudes and departures length line of sight magnetic main socket marked measured method miles Mizar move needle object obtained offsets parallel passing perpendicular plane plat plate plumb-line precisely protractor quadrilateral radius reading right angles scale screws side similar triangles sine solar compass square chains stake station straight line subtract survey surveyor tangent telescope theodolite tion township trapezoid triangle true north tube turn vernier vernier scale vertical
Page 343 - AN ACT providing for the sale of the lands of the United States in the Territory NORTHWEST of the Ohio, and above the mouth of the Kentucky river...
Page 301 - ... the excess or deficiency shall be specially noted, and added to or deducted from the western and northern ranges of sections or half sections in such township, according as the error may be in. running the lines from east to west, or from south to north.
Page 306 - ... to lay out the same into tracts as far as practicable, of fifty-eight poles in front and four hundred and sixty-five poles in depth, of such shape, and bounded by such lines as the nature of the country will render practicable, and most convenient: Provided however.
Page 313 - ... thrown up from the four sides of the line, outside the trench, so as to form a continuous elevation along its outer edge. In mounds of earth, common to four townships or to four sections, they will present the angles of the quadrangular trench (diagonally) towards the cardinal points. In mounds common only to two townships or two sections, the sides of the quadrangular trench will face the cardinal points. Prior to piling up the earth...
Page 157 - Art. (288), with reference to a Meridian passing through the extreme East or West Station, and place them in the eighth column. 5. Multiply the Double Longitude of each course by the corrected Latitude of that course, placing the North Products in the ninth column, and the South Products in the tenth column. 6. Add up the last two columns, subtract the smaller sum from the larger, and divide the difference by two. The quotient will be the content desired.
Page 312 - From quarter section and meander corners two bearing trees are to be marked, one within each of the adjoining sections. Stones at township corners (a small monument of stones being alongside thereof) must have six notches cut with a pick or chisel on each edge or side towards the cardinal points ; and where used as section corners on the range and township lines, or as section corners in the interior of a township, they will also be notched by a pick or chisel, to correspond with the directions given...
Page 191 - This application of the Telescope may be considered as completely annihilating that part of the error of observation which might otherwise arise from an erroneous estimation of the direction in which an object lies from the observer's eye, or from the centre of the instrument. It is, in fact, the grand source of all the precision of modern Astronomy, without which all other refinements in instrumental workmanship would be thrown away.
Page 300 - ... miles square, — two things involving in connection a mathematical impossibility. For strictly to conform to the meridian necessarily throws the township out of square, by reason of the convergency of meridians...
Page 311 - ... respectively. Each of the posts at the corners of sections in the interior of a township must indicate, by a number of notches on each of its four...
Page 303 - E., and proceed as with townships situated "north and west," except that the random or trial lines will be run and measured west, and the true lines east, throwing the excess over or deficiency under four hundred and eighty chains on the west end of the line, as required by law ; wherefore...