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Literary
January 10, 1789
The Kentucke Gazette
Lexington, Fayette County, Kentucky
What is this article about?
Mathematical correspondence for 1789 by C. BOLLING, presenting two problems: Prob. 1 on surveying a triangular field near Lexington with given measurements, requiring other legs, segments, area, and constructions; Prob. 2 seeking six square numbers summing to a rational square and a general canon for such sums.
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Mathematical Correspondence for the Year 1789.
By C. BOLLING.
PROB. 1.
Having Surveyed a Triangular field (near Lexington) the shortest side of which is 200 Poles, the Diameter of its Circumscribing Circle 400 Poles, the perpendicular let fall from the Vertex and on the longest side is 120: Required the other Legs with the respective Segments of the Base made by the perpendicular together with the Area and Geometrical Constructions of the Same.
PROB. 2.
Required six Square Numbers, whose sum will be a rational Square Number, together with a general Canon for finding any Number of Square Numbers, whose Sum will be a rational Square Number.
By C. BOLLING.
PROB. 1.
Having Surveyed a Triangular field (near Lexington) the shortest side of which is 200 Poles, the Diameter of its Circumscribing Circle 400 Poles, the perpendicular let fall from the Vertex and on the longest side is 120: Required the other Legs with the respective Segments of the Base made by the perpendicular together with the Area and Geometrical Constructions of the Same.
PROB. 2.
Required six Square Numbers, whose sum will be a rational Square Number, together with a general Canon for finding any Number of Square Numbers, whose Sum will be a rational Square Number.
What sub-type of article is it?
Mathematical Correspondence
Problem Set
What keywords are associated?
Mathematical Problems
Triangular Field
Lexington Survey
Square Numbers
Circumscribing Circle
What entities or persons were involved?
By C. Bolling
Literary Details
Title
Mathematical Correspondence For The Year 1789
Author
By C. Bolling
Key Lines
Having Surveyed A Triangular Field (Near Lexington) The Shortest Side Of Which Is 200 Poles, The Diameter Of Its Circumscribing Circle 400 Poles, The Perpendicular Let Fall From The Vertex And On The Longest Side Is 120: Required The Other Legs With The Respective Segments Of The Base Made By The Perpendicular Together With The Area And Geometrical Constructions Of The Same.
Required Six Square Numbers, Whose Sum Will Be A Rational Square Number, Together With A General Canon For Finding Any Number Of Square Numbers, Whose Sum Will Be A Rational Square Number.