¶ An Assumpt.
Two vnequall right lines being geuen, to fi••de out how much the greater is in power more then the lesse.
Suppos•• that the two vnequall right lines geuen, be AB and C, of which let AB be the
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.
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http://name.umdl.umich.edu/A00429.0001.001
- Cite this Item
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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 15, 2024.
Pages
Page [unnumbered]
greater. It is required to finde out how much more in power the line AB is then the line C. Describe vpon the line AB a semicircle ADB.* 1.1 And vnto it from the point A apply (by the first of the fourth) a right line AD, equall vnto the line
[illustration]
* 1.3And like in sorte, two right lines being geuen, by this meanes may be founde out a right lyne which contayneth them both in power. Suppose that the two right lines geuen be AD and DB. It is required to ••inde out a right lyne that contayneth them both in power. Let the lines AB and DB be so put, that they compre∣hend a right angle ADB, and draw a right line from A to B. Now agayne it is manifest (by the 47. of the ••irst) that the line AB contayneth in power the lines AD and DB.
Notes
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* 1.1
Construction
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* 1.2
Demonstra∣tion.
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* 1.3
A Corollary.