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
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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
http://name.umdl.umich.edu/A00429.0001.001
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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.
* 1.1Proportionalitie, is a similitude of proportions.
As in proportion are compared together two quantities, and proportion is no∣thing els but the respect and comparison of the one to the other, and these quanti∣ties are the termes of the proportion: so in proportionallitie are compared toge∣ther two proportions. And proportionallitie is nothing els, but the respect & com∣parison of the one of them to the other. And these two proportions are the termes of this proportionallitie. He calleth it the similitude, that is, the likenes or idempti∣tie of proporti∣ons:* 1.2
[illustration]
As if ye wil cōpare the pro∣portion of the line A contay∣nyng 2. to the line B contayning 1, to the proportion of the line C contayning 6. to the line D contayning 3, either proportion is dupla. This likenes, idemptitie, or equallitie of proportion is called proportionallitie.* 1.3 So in number 9. to 3. and 21. to 7. either pro∣portion is tripla. Where note that proportions compared together, are sayd to be like the one to the other:* 1.4 but magnitudes compared together, are said to be equall the one to the other.