* 1.120 A cube number is that which is equally equall equally: or that which is con∣tayned vnder three equall numbers.
As multiply three equall numbers the one into
[illustration]
The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed
About this Item
- Title
- The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed
- Author
- Euclid.
- Publication
- Imprinted at London :: By Iohn Daye,
- [1570 (3 Feb.]]
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- Subject terms
- Geometry -- Early works to 1800.
- Link to this Item
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http://name.umdl.umich.edu/A00429.0001.001
- Cite this Item
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"The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A00429.0001.001. University of Michigan Library Digital Collections. Accessed June 14, 2024.
Pages
the other, as 9, 9, and 9: first 9. by 9, so shall ye haue 81: which agayne multiply by 9, so shall ye produce 729. which is a cube number. And Euclide calleth it a number equally equall equally, because it is pro∣duced of the multiplication of three equall num∣bers the one into the other: which three numbers are sayd in the second definition (wherein he spea∣keth more applying to Geometry) to contayne the cube number. It is therefore called a cube number,* 1.2 because being described by hys vnities, it represen∣teth the forme of a cube in Geometry, whose sides, that is to say, whose length, breadth, and thicknes, are the three equall numbers 9, 9, and 9, of which he was produced: which three sides also are sayd to containe the cube number 729: beholde here the description therof.
Notes
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* 1.1
The twenteth definition.
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* 1.2
Why it is called a cube number.