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
Cite this Item
"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 15, 2024.
Pages
Proportionallitie consisteth at the lest in three termes.* 1.1
Before it was sayd, that proportionalitie is a likenesse or an idemptitie of pro∣portions. Wherfore of necessitie in proportionalitie, there must be two proporti∣ons, and euery proportion hath two termes, namely, his antecedent and conse∣quent. Therfore in euery proportionalitie th••re are foure termes. But for that som∣tyme, one terme supplieth by diuers relations, the roume of two, for in respect to the first it is consequent, and in respect to that which followeth, it is antecedent: therfore three termes at least and not vnder may suffice in proportionalitie, which three are in power foure, and occupy the rome of foure, as is sayd.* 1.2 As suppose that A hath to B that proportion, that B
[illustration]
hath to C: then are these thre quan∣tities A, B, C, set in the lest number of proportionality.* 1.3 Likewise in num∣bers, as 8. 4. 2. and 9. 6. 4.