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.
Pages
¶ A Probleme added by Pelitarius.
Two equiangle Parallelogrammes being geuen, so that they be not like, to cut of from one of them a parallelogramme like vnto the other.
* 1.1Suppose that the two equiangle parallelogrammes be ABCD and CEFG, which let not be like the one to the other. It is required from the Parallelogramme ABCD, to cut of a parallelogramme like vnto the parallelogramme CEFG. Let the angle C of the one be equall to the angle C of the other. And let the two parallelogrammes be so 〈◊〉〈◊〉, that the lines BC & CG may make both
[illustration]
one right line, namely, BG. Wherefore also the right lines DC and CE shall both make one right line, namely, DE. And drawe a line from the poynt F to the poynt C, and produce the line FC till it cōcurre with the line AD in the poynt H. And draw the line HK parallell to the line CD (by the 31. of the first). Then I say, that from the paralle∣logramme AC is cut of the parallelogrāme CDHK, like vnto the parallelogrāme EG. Which thing is manifest by thys 24. Propo∣sition. For that both the sayd parallelo∣grammes are described about one & the selfe same dimetient. And to the end it might the more plainly be seene, I haue made complete the Parallelogramme ABGL.