Example.
ADmit 120 the semidiameter of the circle, BCDE, whose area I would diuide with a concentrirall circumference in
[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 27, 2025.
Pages
suche sorte that one parte might be triple to the other, this proportion consisteth of 3 and 1, which added together make 4, now the square of the semidiameter beeing 14400, augmented by 1 the lesser of those Termini, produceth the same summe agayn whiche diuided by 4 tofore reserued for that purpose yeldeth 3600, whose quadrate roote is 60, so muche is AF the semi∣diameter of that inwarde Circle, whose circumference hath diuided the Circle
Page [unnumbered]
BCDE in two partes, the lesser is the circle FGH, and the greater is the anular Superficies conteined betweene those circumferences, the one beeing triple to the other. In like maner may you diuide that anular Superficies into three other, eue∣ry one of them equall to the same inwarde circle, whereof it were superfluous to adioyne any farther example, forasmuche as the proportion of the partes once knowen, the operation is in all poyntes agreable with the former.