consideryng that I shall haue occasion to declare sundry figures anon, I will first shew some certaine varietees of lines that close no figures, but are bare lynes, and of the other lines will I make mencion in the description of the figures.
Parallelys Gemowe lynes. Paralleles, or gemowe lynes be suche lines as be drawen foorth still in one distaunce, and are no nerer in one place then in an other, for and if they be nerer at one ende then at the other, then are they no paralleles, but maie bee called bought lynes, and loe here exaumples of them bothe.
| parallelis. | bought lines |
| parallelis: circular. Concen- trikes. |
I haue added also paralleles tortuouse, whiche bowe cõtrarie waies with their two endes: and paralleles circular, whiche be lyke vnperfecte compasses: for if they bee whole circles, Concentrikes then are they called cõcentrikes, that is to saie, circles drawẽ on one centre.
Here
might I note the error of good Albert Durer, which affirmeth that no perpendicular lines can be paralleles. which errour doeth spring partlie of ouersight of the difference of a streight line, and partlie of mistakyng certain principles geometrical, which al I wil let passe vntil an other tyme, and wil not blame him, which hath deserued worthyly infinite praise.
And to returne to my matter. A twine line. an other fashioned line is there, which is named a twine or twist line, and it goeth as a wreyth about some other bodie. A spirall line. And an other sorte of lines is there, that is called a spirall line, A worme line. or a worm line, whiche representeth an apparant forme of many circles, where there is not one in dede: of these .ii. kindes of lines, these be examples.
| A twiste lyne. | ![]() | A spirail lyne |
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