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Pendleton, John
Mathematical instruction on surveying and the mensuration of solids.
Additional Title(s):

John Pendleton's book

Art of surveying and measuring of land
England, June 28th, 1819.
Physical Description:
1 volume (106 pages) : illustrations ; 36 cm
Rare Books and Manuscripts
QA461 .P46 1819+ Oversize
Yale Center for British Art, Paul Mellon Fund
Copyright Status:
Copyright Not Evaluated
Archives & Manuscripts
Bound in contemporary stiff brown paper wrappers.
Title from caption, page 1. The cover is inscribed: "John Pendleton's book, June 28th, 1819."
Mathematical manuscript, with a strong emphasis on practical land surveying and the mensuration of solids, presumably made by John Pendleton while learning the art of geometry and surveying. The manuscript provides no clues to the identification of Pendleton, nor to the circumstances of its production. The text is written in a neat and legible hand, with minimally calligraphic headings. It includes numerous calculations and diagrams, including 17 full-page or near full-page surveying diagrams, most of which are heightened with colored wash -- four with red and yellow borders. It includes short treatment of field planning, with colored village or estate plans.
Subject Terms:
Geometry -- Problems, exercises, etc.
Geometry -- Study and teaching.
Mathematics -- Study and teaching.
Measurement -- Study and teaching.
Pendleton, John.
Surveying -- Study and teaching.
Ink drawings.
Wash drawings.

  • The art of surveying and measuring of land. First of the chain
  • A table of square measure
  • How to reduce statute measure to customary and the contrary
  • Irregular fields
  • How to lay out any given quantity of acres, in a parallelogram, whereof one side is given
  • How to find the length of the diameter of a circle, which shall contain any number of acres
  • Plotting (with five problems)
  • A small model of the art of the planning (five models)
  • The mensuration of solids
  • 1st of a cube
  • 2nd of a parallelopipedon
  • 3rd of a triangular prism
  • 4th of a pyramid
  • 5th of a cylinder
  • 6th of a cone
  • 7th of frustum of a pyramid
  • 8th of the frustum of a cone
  • 9th to measure the frustum of a rectangled pyramid called a prismoid when bases are parallel one to another, but disproportional
  • [10th] to measure a cylindroid, that is a frustum of a cone, having its bases parallel to each other but unlike
  • 11th of a sphere or globe
  • 12th of a spheroid
  • 13th of a parabolic conoid
  • 14th of a parabolic spindle
  • Of the five regular bodies
  • 1st of the tetraedron
  • 2nd of the octaedron
  • 3rd of the dodecaedron.

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