Example.
Admit ABCD a Trapezium, or Irregular Quadrangle, and that I woulde cut of a quarter of his Area, with a line issuing from the Angle A, first
[illustration]
A geometrical practise, named Pantometria diuided into three bookes, longimetra, planimetra, and stereometria, containing rules manifolde for mensuration of all lines, superficies and solides: with sundry straunge conclusions both by instrument and without, and also by perspectiue glasses, to set forth the true description or exact plat of an whole region: framed by Leonard Digges gentleman, lately finished by Thomas Digges his sonne. Who hathe also thereunto adioyned a mathematicall treatise of the fiue regulare Platonicall bodies, and their Metamorphosis or transformation into fiue other equilater vniforme solides Geometricall, of his owne inuention, hitherto not mentioned of by any geometricians.
About this Item
- Title
- A geometrical practise, named Pantometria diuided into three bookes, longimetra, planimetra, and stereometria, containing rules manifolde for mensuration of all lines, superficies and solides: with sundry straunge conclusions both by instrument and without, and also by perspectiue glasses, to set forth the true description or exact plat of an whole region: framed by Leonard Digges gentleman, lately finished by Thomas Digges his sonne. Who hathe also thereunto adioyned a mathematicall treatise of the fiue regulare Platonicall bodies, and their Metamorphosis or transformation into fiue other equilater vniforme solides Geometricall, of his owne inuention, hitherto not mentioned of by any geometricians.
- Author
- Digges, Leonard, d. 1571?
- Publication
- Imprinted at London :: By Henrie Bynneman,
- Anno. 1571.
- Rights/Permissions
-
To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
- Subject terms
- Mensuration -- Early works to 1800.
- Geometry -- Early works to 1800.
- Surveying -- Early works to 1800.
- Link to this Item
-
http://name.umdl.umich.edu/A20458.0001.001
- Cite this Item
-
"A geometrical practise, named Pantometria diuided into three bookes, longimetra, planimetra, and stereometria, containing rules manifolde for mensuration of all lines, superficies and solides: with sundry straunge conclusions both by instrument and without, and also by perspectiue glasses, to set forth the true description or exact plat of an whole region: framed by Leonard Digges gentleman, lately finished by Thomas Digges his sonne. Who hathe also thereunto adioyned a mathematicall treatise of the fiue regulare Platonicall bodies, and their Metamorphosis or transformation into fiue other equilater vniforme solides Geometricall, of his owne inuention, hitherto not mentioned of by any geometricians." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A20458.0001.001. University of Michigan Library Digital Collections. Accessed April 29, 2025.
Pages
by the Rules tofore geuen, I measure his content superficiall, which I sup∣pose 72 acres, secondlye I meete the Area of the Triangle ADC, fin∣ding it 50 acres. Nowe bicause I would cut of a quarter of that Tra∣pezium, I diuide his content that is 72 by 4, my Quotient is 18, and
Page [unnumbered]
that multiplied in DC, (which heere I suppose founde by mensuration 146 Per∣ches,) produceth 2520, and this diuided by 50 the number of acres in the Triangle ADC, yeldeth in the Quotient 50 Perches 6 ½ foote, which measured out from D in the line DC, sheweth where the line of partition issuing forthe of the angle A shall fall: and thus may you conclude that ADE, is the foresaide quarter of the whole Trapezium, and containeth 18 Acres.