1. Like rectiline figures are such,* 1.1 whose angles are equall the one to the other, and whose sides about the equall angles are proportionall.
As if ye take any
[illustration]
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
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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 14, 2024.
Pages
two rectiline figures. As for example, two triangles ABC, and DEF: 〈…〉〈…〉 of the one triangle be e∣quall to the angles of the other, namely, if the angle A be equall to the angle D, and the angle B equall to the angle E, & also the an∣gle C equall to the an∣gle F. And moreouer, i•• the sides which con∣taine the equall angles be proportionall. As if the side AB haue that proportion to
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the side BC, wh••ch the side DE hath to the side EF, and also if the side BC be vnto the side CA, as ••he side EF is to the side FD, and mor••ouer if the side CA be to the side AB, as the side FD is to the side DE, then are these two triangles sayd to be like: and so iudge ye of any other kinde of figures. As if in the paralle∣logrammes ABCD and EFGH, the angle A be equall to the angle E, and the angle B equall to the angle F, and the angle C equall to the angle G, and the an∣gle D equall to the angle H. And farthermore, if the side AC haue that propor∣tion to the side CD which the side EG hath to the side GH, and if also the side CD be to the side DB as the side GH is to the side HF, and moreouer, if the side DB be to the side BA as the side HF is to the side FE, and finally, if the side BA be to the side AC as the side FE is to the side EG, then are these parallelo∣grammes like.
Notes
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* 1.1
The first de∣finition.