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.]]
Rights/Permissions
To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
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
The 1. Probleme. The 1. Proposition. In a circle geuen, to apply a right line equall vnto a right line geuen, which excedeth not the diameter of a circle.
SVppose that the circle geuen be ABC, and let the right line geuen, exceding not the diameter of the same circle, be D. Now it is required in the circle geuen ABC, to ap∣ply a right line equall vnto the right line D.* 1.1 Draw the diameter of the circle ABC, and let the same be BC. Now if the line BC be equall vnto the line D, then is that done which was required. For in the circle geuen ABC is applyed a right line
[illustration]
BC equall vnto ye right line D.* 1.2 But if not,* 1.3 then is the line BC greater then ye line D.* 1.4 And (by the third of the first) put vnto the line D an equall line CE. And making the centre C, and the space CE, describe (by the third petition) a circle EGF, cut∣ting the circle ABC in the point F, & draw a line from C to F. And for asmuch as the point C is ye centre of the circle EGF,* 1.5 therefore (by the 13. definition of the first) the line CF is equall vnto the line CE. But the line CE is equall vnto the line D. Wherefore (by the first common sentence) the
descriptionPage 111
line CF also is equall vnto the line D. Wherefore in the circle geuen ABC, is applyed a right line CA equall vnto the right line geuen D: which was requi∣red to be done.