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Government Land Measure

A Township-36 sections, each a mile square.

A Section-640 acres. A Quarter Section, half a mile square-160 acres. An Eighth Section, half a mile long, north and south, and a quarter of a mile wide-80 acres.

Sixteenth Section, a quarter of a mile square -40 acres. The Sections are all numbered A one to thirty-six, commencing at the northeast corner, thus: 1 Rood = 1011.66675 " 1 Pole = 25.29167 " 1 Yard .83609 " 1 Foot .09289 “ 1 Inch .000645 " = 16 .02379 NW NE 60 123 1 .02539 6 5 4 3 2 .05079 SWSE .07619 4 .10159 7 8 9 10 11 12 50 5 .12699 2 6 .15239 7 = .17779 3/4 12 14 8 = .20319 18 17 16* 15 14 13 40 9 = .22859 10 = .25399 11 = .27939 19 20 21 22 23 24 12 = .30479 30 Feet. 2 = .60958 1 3 = .91438 30 29 28 27 26 25 4 = 1.21916 20 5 = 1.52395 6 = 1.82874 31 32 33 34 35 36 7 = 2.13353 8 = 2.43832 9 = 2.74311 10 = 3.04791 11 = 3.35270 12 = 3.65750 The Sections are all divided in quarters, which are named by the cardinal points, as in section 1. The quarters are divided in the same way. *School Section. 5985. Decimal Equivalents of the Divisions of a Foot. .08333.16666.25 .33333.41666.5 .58333.66666.75 83333.91666 1.00521.08854.17187.25521 .33854.42187.50521.58854.67187 .75521 .83854.92187 .01041 .09374 .17707 .26041 .34374 .42707 .51041 .59374 .67707 .76041 .84374 .92708 .

01562 .09895.18228.26562.34895.43228.51562.59895.68228 76562.84895.93229 .

02083.10416.18750 .27083 .35416.43759.52083.60416.68750 .77083.85416.93750 .02604.10937 .19270 .27604 35937.44270 52604.60937.69270 77604.85937.94270 .

03125.11458 .19791.28125 .36458.44791 .53125 .61458.69791.78125.86458 94791 .

03646.11979.20312.28646.36979.45312.53646.61979.70312.78646.86979.95312

04166.12500 .20832.29166 .37500 .45833 .54166.62500 .70832.79166.87500.95833 2.04687.13020 .21353.29687 .38020.46354.54687 .63020 .71353.79687 88020 .96354 .

05208.13541.21874 .30203 .38541.46875.55208.63541.71874.80208.88541.96875 1.05729.14062.22395.30729.39062.47395 .55720 .64062.72395.80729 89062.97395 .

06250.14583.22916.31250 .39583.47916.56250 .64583 72916.81250 89583.97916 1.06771.15104.23437 .31771.40104.48437.56771 .65104 .73437 .81771 .90104.98437

07292.15625.23958 .32292 40625.48958.57292.65625 73958 82292.90625 .98958 1.07813.16146.24479 .32813.41146.49479 .57813.66146 74479 82813 .91146.99479 To use the above table-suppose it is re- 5987. To Find the Square Surface or quired to find what decimal of a foot is equiv- Area of a Circle. Square the radius (half alent to 8 inches-look for the column headed the diameter), and multiply that by 3.14159; 8, and the figures at the top of that column, for small calculations 34 is nearly the same as .66666, is the decimal required. Again, to find 3.14159. Thus, to find the area of a circle the decimal of a foot equal to 54 inches, look whose diameter is 8 feet: The radius is 4 in the column under figure 5, run the finger feet, this squared is 16; then 16 times 3.14159 down that column until it is level with the is 50.265 square feet. If the diameter is 8 ( marked on the left side of the table); the figures .47916 give the decimal required.

5986. To Find the Square Feet in Boards. Multiply the decimal in the table, corresponding to the width of the board, by the length of the board in feet.

Breadth in Inches. Lineal Foot. inches, the area would be 50.265 square inches. 5988. Table Showing the Square Inches Contained in a Circle from Ten to Seventy-Three Inches in Diameter.

Diameter of Circle.

Square Inches.

Diameter of Circle.

Square Inches.

Area of a Breadth in Inches.

Area of a Lineal Foot. 10 78.54 42 1388.59 11 95.03 43 1452.20 141234 .0208 61 .5208 12 113.10 44 1520.53 .0417 6½ .5416 13 132.73 45 1590.43 .0625 6& .5625 14 153.94 46 1661.91 1 .0834 7 .5833 15 176.71 47 1735.00 11 .1042 71 .6042 16 201.06 48 1809.56 1½ .125 7호 .625 17 226.98 49 1885.74 14 .1459 74 .6458 18 254.47 50 1963.50 2 .1667 8 .6667 19 283.54 51 2042.82 21 .1875 81 .6875 20 314.16 52 2123.72 2 .2084 8호 .7084 21 346.36 53 2206.19 24 .2292 84 .7292 22 380.13 54 2290.23 3 .25 9 .75 23 415.47 55 2375.83 31 .2708 91 .7708 24 452.39 56 2463.00 3 5345 .2916 9 -7917 25 490.88 57 2551.76 .3125 9월 .8125 26 530.93 58 2642.00 .3334 10 .8334 27 572.56 59 2734.00 .3542 101 .8542 28 615.75 60 2827.44 .375 10 .875 29 660.20 61 2922.47 .3958 10 .8959 30 706.86 62 3019.00 .4167 11 .9167 31 754.77 63 3117.25 51 .4375 114 .9375 32 804.25 64 3217.00 556 .4583 11+ .9583 33 855.30 65 3318.31 54 .4792 114 .9792 34 907.92 66 3421.20 .5 35 962.00 67 3526.66 36 1017.88 68 Example. To find the square feet in a board 14 feet long and 94 inches wide.

The decimal in the table opposite 94 inches 3651.69 37 1075.20 69 3739.29 38 1134.00 70 3848.46 39 1194.60 71 3959.20 is Multiply by .7708 14 40 1256.64 41 1320.26 73 72 4071.51 73 4185.40 Answer Or about 11.1766 feet, 11 feet.

The area may also be obtained by multiplying the square of the diameter by.7854. This method is deduced from the first one, and is founded on the fact that the square of any number is always 4 times as much as the square of half the number. In the first method the radius or half diameter is to be squared, and multiplied by 3.14159; in the second, the whole diameter is squared, which will result in just 4 times as much as the square of the radius; the multiplier must be therefore the fourth part of 3.14159, or .7854. or 1, a cylinder 1 foot in diameter and 1 foot in length 11 .7854. = A sphere 1 foot in diameter = .5236.

A cone 1 foot in diameter at the base and 1 foot in height = .2619.