Public Land Ordinance of May 20, 1785
Act of May 18, 1796
Act of May 10, 1800
Act of March 26, 1804
Act of February 11, 1805
Principles and Rules continued:
• Corners of half and quarter sections not marked shall be placed as nearly
as possible equidistant from those two corners which stand on the same
line.
The Government can now dispose of parcels of land as small as
160 acres or a quarter section, and has the statutory rules in
place to monument and/or define the boundaries.
Act of April 24, 1820
• This act provided for the division of a quarter section into half quarter
sections of 80 acres. The division line was to be run north and south, in
the manner, and on the principles directed in the act of Feb. 11, 1805.
The 1/16 corners were not marked in the Original survey
so they are placed as nearly as possible equidistant
from the corners on either side.
Act of April 5, 1832
• This act called for running an east-west line through the halfquarter sections, in accordance with the principles contained
in the act of Feb. 11, 1805.
• This created the quarter-quarter section of 40 acres. This is
the smallest legal subdivision defined by law.
9
Subdivision of Regular Section
•
•
•
•
•
Regular sections are
subdivided in accordance with
the laws of 1805, 1820 and
1832.
FIRST- Recover all existent
cors., restore any lost corners.
Second- Run Straight lines
between opposing quarter
corners.
Third- establish 1/16 cors.
equadistant between the two
corners that stand on the same
line.
Fourth- Run straight lines
between opposing 1/16 cors.
Corner Names
Subdivision of Typical Anomalous Sections
• The parenthetical distances are
the derived distances on the plat
that were not measured on the
ground, used in the calculation of
areas. They are to be used to
prorate the new measurements
obtained in the retracement of
sections, whenever there is need
for establishing sixteenth corners
for control points for subdivision
of sections.
HOW DID THEY CALCULATE
THE ORIGINAL ACREAGE ?
•
•
•
•
•
•
Mean of N. and S. bdy = 80.07 (E-W center
line)
Mean of E-W center line and N. bdy.=
80.035 or 80.04 (E-W center of N ½)
Total area of Anomalous portion
17.80 + 18.58 80.00 + 80.04
×
÷ 10 = 145.56
2
2
Base area for each lot or aliquot part
145.56 ÷ 4 = 36.39
Base area correction.
18.58 − 17.80 = .78
. 78 ÷ 4 = .195
Areas:
LG side: 36.39 + 3 × 0.195 = 36.975(36.98)
LG middle: 36.39 + 0.195 = 36.585 (36.59)
SM middle: 36.39 − 0.195 = 36.195 (36.20)
SM side: 36.39 − 3 × 0.195 = 35.805 (35.81)
•
•
•
•
36.98 − 18.58 = 18.40
36.59 − 18.40 = 18.19
36.20 − 18.19 = 18.01
35.81 − 18.01 = 17.80
Mean Distance?
•
17.80+18.58
2
= 18.19
18.40
Subtraction?
18.19
• How do we use these acreages to
calculate the Parenthetical
distances?
18.01
Subdivision of Typical Anomalous Sections
Subdivision of Typical Anomalous Sections
• FIRST- Recover all existent
cors., restore any lost
corners.
• Second- Run Straight lines
between opposing quarter
corners.
• Third- establish 1/16 cors.
equadistant between the
two corners that stand on
the same line, except the 3
closing lines.
Subdivision of Typical Anomalous Sections
• Fourth- prorate new
measurements for 3 closing
lines.
𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟
=
𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜
𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜
𝟑𝟑. 𝟓𝟓
𝑿
=
𝟑𝟑. 𝟏𝟏 𝟏𝟏. 𝟏𝟏
𝑋 = 17.895
• Fifth- Run straight lines
between opposing 1/16 cors
20.00
20.00
20.00
20.00
19.45
18.91
18.36
Anomalous – Elongated Sections
LOCATING HALF AND QUARTER SECTION LINES, WHERE NO
OPPOSITE CORRESPONDING CORNERS HAVE BEEN OR CAN BE FIXED
IN PORTIONS OF FRACTIONAL TOWNSHIPS UNDER THE ACT OF FEB. 11, 1805
Fractional Section Example Diagram
Parallel Lines
Original
Resurvey
Mean Bearings
• Arithmetic Mean: the mean of the
sum of the opposite section line
bearings.
• Weighted Mean: Each bearing is
weighted in proportion to its length
as to the total length.
Weighted Mean Computation
(Bearing x Distance) + (Bearing x Distance) + (Bearing x Distance) + (Bearing x Distance)
Total Distance
Weighted Mean Computation by Traverse and Inverse
Traverse:
Inverse:
600140
600140
(forward) N. 89ø05'46" E. Dist. at mean elevation: 1550.00 ft.
(forward) N. 89ø23'15" E. Dist. at mean elevation: 1550.00 ft.
(mean)
(mean)
N. 89ø06'00" E. 40.0430 ch. (2642.838 ft)
(reverse) S. 89ø06'14" W. Lat: 0.6290 Dep: 40.0381
Traverse:
MB1
(forward) N. 89ø35'46" E. Dist. at mean elevation: 1550.00 ft.
(mean)
N. 89ø36'00" E. 40.0880 ch. (2645.808 ft)
(reverse) S. 89ø36'14" W. Lat: 0.2799 Dep: 40.0870
MB2
Traverse:
MB2
(forward) N. 89ø17'56" E. Dist. at mean elevation: 1550.00 ft.
(mean)
N. 89ø18'00" E. 12.0210 ch. (793.386 ft)
(reverse) S. 89ø18'04" W. Lat: 0.1469 Dep: 12.0201
MB3
Traverse:
MB3
(forward) N. 89ø28'36" E. Dist. at mean elevation: 1550.00 ft.
(mean)
N. 89ø29'00" E. 68.5650 ch. (4525.290 ft)
(reverse) S. 89ø29'24" W. Lat: 0.6183 Dep: 68.5622
MB4
(reverse) S. 89ø25'08" W. Lat: 1.6740 Dep: 160.7074
MB4
MB1
N. 89ø24'12" E. 160.7162 ch. (10607.267 ft)