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
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
6. A Parallelogramme applied to a right line, is sayd to want in forme by a parallelogramme like to one geuen: whē the pa∣rallelogrāme applied wanteth to the filling of the whole line, by a parallelogramme like to one geuen:* 1.1 and then is it sayd to exceede, when it exceedeth the line by a parallelogramme like to that which was geuen.
As let E be a Parallelogrāme
[illustration]
geuen, and let AB be a right line, to whom is applied the pa∣rallelogramme ACDF. Now if it want of the filling of the line AB, by the parallelogrāme DFGB being like to the pa∣rallelogramme geuen E, then is the parallelogramme sayd to want in forme by a parallelo∣gramme like vnto a parallelogramme geuen.
Likewise if it exceede, as the parallelogramme ACGD applyed to the lin•• AB•• if it exceede it by the
[illustration]
parallelogramme FGBD being like to the parallelo∣gramme F which was ge∣uen, then is the parallelo∣gramme ABGD, sayd to exceede in forme by a pa∣rallelogramme like to a pa∣rallelogramme geuen.
This definition is added by Flussates as it seemeth, it is not in any cōmon Greke booke abroad, nor in any Commentary. It is for many Theoremes following very necessary.