Example.
[illustration]
AB the side of the square 10.
- EG the containing circles Semidiameter √{powerof2}50
- EF the inscribed circles Semidimetient 5
- The Area of the square ABCD 100
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
-
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- Subject terms
- Mensuration -- Early works to 1800.
- Geometry -- Early works to 1800.
- Surveying -- Early works to 1800.
- 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 May 6, 2024.
Pages
Admit AB the squares side 10, the half being 5 is the Semidimetient of the in∣vvarde Circle, the square thereof doubled is 50, vvhose Quadrate roote is EG, the containing Circles Semidimetient. Novv for the Superficies I augment 10 by it selfe there ariseth 100. Likevvise 5 the in∣ternall Circles Semidiameter multiplied by 20 the squares Semiperimetry yel∣deth also 100, so muche is the Area of the square ABCD.