Omnia Cooperabuntur
in bonum._

+%Trochilike,% is that Art Mathematicall, which demonstrateth the
properties of all Circular motions, Simple and Compounde.+ And bycause
the frute hereof, vulgarly receiued, is in Wheles, it hath the name of
_Trochilike:_ as a man would say, _Whele Art_. By this art, a Whele may
be geuen which shall moue ones about, in any tyme assigned. Two Wheles
may be giuen, whose turnynges about in one and the same tyme, (or equall
tymes), shall haue, one to the other, any proportion appointed. By
Wheles, may a straight line be described: Likewise, a Spirall line in
plaine, Conicall Section lines, and other Irregular lines, at pleasure,
may be drawen. These, and such like, are principall Conclusions of this
Arte: and helpe forward many pleasant and profitable Mechanicall workes:

[Saw Milles.]

As Milles, to Saw great and very long Deale bordes, no man being by.
Such haue I seene in Germany: and in the Citie of Prage: in the kingdome
of Bohemia: Coyning Milles, Hand Milles for Corne grinding: And all
maner of Milles, and Whele worke: By Winde, Smoke, Water, Waight,
Spring, Man or Beast, moued. Take in your hand, _Agricola De re
Metallica:_ and then shall you (in all Mines) perceaue, how great nede
is, of Whele worke. By Wheles, straunge workes and incredible, are done:
as will, in other Artes hereafter, appeare. A wonderfull example of
farther possibilitie, and present commoditie, was sene in my time, in a
certaine Instrument: which by the Inuenter and Artificer (before) was
solde for xx. Talentes of Golde: and then had (by misfortune) receaued
some iniurie and hurt: And one _Ianellus_ of _Cremona_ did mend the
same, and presented it vnto the Emperour _Charles_ the fifth.
_Hieronymus Cardanus_, can be my witnesse, that therein, was one Whele,
which moued, and that, in such rate, that, in 7000. yeares onely, his
owne periode should be finished. A thing almost incredible: But how
farre, I keepe me within my boundes: very many men (yet aliue) can tell.

+%Helicosophie%+, is nere Sister to _Trochilike:_ and is, +An Arte
Mathematicall, which demonstrateth the designing of all Spirall lines in
Plaine, on Cylinder, Cone, Sphaere, Conoid, and Sphaeroid, and their
properties appertayning.+ The vse hereof, in _Architecture_, and diuerse
Instrumentes and Engines, is most necessary. For, in many thinges, the
Skrue worketh the feate, which, els, could not be performed. By helpe
hereof,

[* Athe