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Example.
Suppose ABC a triangular peece of ground, hauyng his three sides AB 30▪ AC 40, CB 50, my desire is with a right lyne from the angle A to cut of one ••cre of grounde, to performe this by the
[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.
- 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
••rte before taught, I searche the Area of that figure which is 600 roddes. Now bycause I would cut off from that figure one acre, and an acre cōteineth 160 rods: I multiply 160 in 50, the whole side subtē∣ding the assigned angle, the product being 8000, I diuide by 600 the triangles Area, my quotient is 13 1/•• so many perches I recken in the base BC from B to D, finally extending a lyne from A to D, I conclude the Superficies ABD one exacte acre, and this is there from that tri∣angular field one acre cut of with the lyne AD.