Example.
Admitte A the cubicall hollowe vessell whose inwarde syde I suppose 20 ynches, B is the irregular bodye, whose crassitude I desyre, firste there∣fore I putte the solide into my
[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
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- 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
hollowe cube, and pourynge in water till it be thorough∣ly couered. Admit the brim of the water reach•• vnto C, then takinge oute that ir∣r••gular bodye agayne: Ad∣mytte the Superficies of the water fall to D, I measure the distaunce betweene C and D, suppose it 7 ynches, whyche multiplyed in 400, the square of the cubes side produceth 2800, so many cu∣bicall inches are conteined in
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that Irregular body B. Neither is it of great importance whether your vessell A be an exact Cube. For what kinde of Prisma soeuer it be, alwayes rising vniform∣ly, and his Paralelogrammes being Perpendicular vpon their base, ye may (chan∣ging the forme of your Calculatiō) bring the same to passe, only wheras in the cube ye did multiply his sides square in the distance betweene the water markes, ye shall now multiply the same distance or difference of water markes in the base of the Prisma, the resulting summe is the Irregulare Solides Crassitude. And thus may you alwayes frame your containing vessel, according to the forme and quantitie of the Irregulare body that ye desire to measure. Meruellous is the appliance of this kinds of mensurations, and straunge conclusions may be perfourmed therby, wher∣in although I meane not in this treatise to reueale any secretes, reseruing them for an other place, yet to geue some light to the ingenious to proceede in applying them farder, I shall not thinke it tedious to shewe howe it maye be vsed to discouer the waight of such things, as no way possibly by ballance may be found.