Example.
Admit the Area of the Cylinders
[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 May 12, 2025.
Pages
••ase found by the rules in Planime∣••ra 78 4/7 the circūference being 31 3/7, which multiplied in 21 the Cylinders ••ltitude yeldeth 660, which added ••nto 157 1/7 bringeth 817 1/7, the whole superficies of that Cylinder, but if 〈◊〉〈◊〉 augment 21 in 78 4/7 the bases A∣••ea, it produceth 1650, and that is ••he Crassitude or Solide capacitie ••f that Cylinder. Likewise for ••he Superficies of the Cone GHE, I augment 26 the side HG in 31 ••/•• halfe
Page [unnumbered]
the Circumference GFE, therof resulteth 817 1/7, wherunto if ye adioyne 314 2/7 that basis Area there amounteth 1131 3/7, the Cones content Superficiall, and by multi∣plying 24 the altitude in 104 16/21, the third part of the Circle GFE. there ariseth 2514 2/7, the Solide content of the Cone GHE.
A note to finde the altitude of a Solide Cone.
Multiplie the side of the Cone in it selfe, and likewise the Semidiame∣ter of the Circular base, these deducted the one from the other the quadrat•• roote of the Remainder is the Axis or Altitude of the Cone.