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Letter to Editor
April 18, 1751
The Virginia Gazette
Richmond, Williamsburg, Richmond County, Virginia
What is this article about?
A reader 'W.' from Surry, Virginia, submits a technical surveying question to the printer for publication in the Gazette, describing a triangular field containing a garden with trees at angles and midpoints aligned in specific lines, providing garden side measurements in chains and links, and requesting the sides of the field. Dated April 10, 1751.
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To the PRINTER.
SIR,
Please to give the following Question in Surveying a place in the Gazette.
As I expect the ingenious Artist, who undertakes to answer it, will give an analytical Investigation; so I hope you will find Room for it: By this you will oblige, at least, one of your constant Readers.
W.
Surry, April 10, 1751.
HERE is a Field in the Form of the right-lined Triangle A, B, C; within which is a Garden of the same Figure; at each Angle of this Garden, viz. at D, E and F is a Tree, as also at G and H, the Middles of the two Sides A C and B C. It was observed, that the Trees at G, F and E were in a direct Line with the Angle B, as were those at H, E and D with the Angle A; the Angle C, and the Trees at F and D were likewise in a straight Line meeting the Side AB at right Angles.
The Sides of the Garden were measured, and were thus, EF = 1 Chain, 86 Links. DE = 2 Chains, 22 Links, DF = 2 Chain, 55 Links. The Sides of the Field AB, BC and CA are required.
SIR,
Please to give the following Question in Surveying a place in the Gazette.
As I expect the ingenious Artist, who undertakes to answer it, will give an analytical Investigation; so I hope you will find Room for it: By this you will oblige, at least, one of your constant Readers.
W.
Surry, April 10, 1751.
HERE is a Field in the Form of the right-lined Triangle A, B, C; within which is a Garden of the same Figure; at each Angle of this Garden, viz. at D, E and F is a Tree, as also at G and H, the Middles of the two Sides A C and B C. It was observed, that the Trees at G, F and E were in a direct Line with the Angle B, as were those at H, E and D with the Angle A; the Angle C, and the Trees at F and D were likewise in a straight Line meeting the Side AB at right Angles.
The Sides of the Garden were measured, and were thus, EF = 1 Chain, 86 Links. DE = 2 Chains, 22 Links, DF = 2 Chain, 55 Links. The Sides of the Field AB, BC and CA are required.
What sub-type of article is it?
Informative
What themes does it cover?
Science Nature
What keywords are associated?
Surveying
Geometry
Triangle
Field
Garden
Tree Alignments
Chains
Links
What entities or persons were involved?
W.
The Printer
Letter to Editor Details
Author
W.
Recipient
The Printer
Main Argument
poses a surveying problem to determine the sides ab, bc, and ca of a triangular field based on measurements and alignments of a triangular garden inside it, expecting an analytical solution from an expert.
Notable Details
Field Is Right Lined Triangle Abc With Garden Triangle Def Inside
Trees At Garden Angles D, E, F And Midpoints G (Ac), H (Bc)
Alignments: G F E Straight With Angle B; H E D Straight With Angle A; C F D Straight Line Perpendicular To Ab
Garden Measurements: Ef = 1 Chain 86 Links, De = 2 Chains 22 Links, Df = 2 Chains 55 Links