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
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
* 1.118 A cylinder is a solide or bodely figure which is made, when one of the sides of a rectangle parallelogramme, abiding fixed, the parallelogramme is moued about, vntill it returne to the selfe same place from whence it be∣gan to be moued.
This definition also is of the same sort and condition, that the two definition•• before geu•• were, namely, the definition of a Sphere and the definition of a Cone. For all are geuen by mouing of a su∣perficies about a right line fixed, the one of a semicircle about his diameter, the other of a rectangle tri∣angle about one of his sides And this solide or body here de••ined is caused of the motion of a rectangle
[illustration]
parallelogrāme hauing one of his sides contayning
[illustration]
the right angle fixed from some one poynt till it re∣turne to the same agayne where it began. As suppose ABCD to be a rectangle parallelogramme, hauing his side AB fastned, about which imagine the whole parallelogramme to be turned, till it returne to the poynt where it began, then is that solide or body, by this motion described, a Cylinder: which because of his roundnes can not at full be described in a playne superficies, yet haue you for an example thereof a suf∣ficient designation therof in the margent 〈◊〉〈◊〉 as in a plaine may be. If you wil perfectly behold the forme of a cilinder. Consider a round piller that is perfect∣ly round.