firepereni, Mccnm vero omnium rationes perpcndens ^ Cartefii 
ratjocinium firmo talo niti^Analyfeos heneficio deprehendi:^nec uU 
It />/ r: h^efitavi quam qmmodo figurdd in Vlano delineari ant 
filial ?naUridi induci pojjent . Ipfius ef7jm Carttfii machina vimis 
vompoftt.ivjdehaiurymo^Hfq:^ fjimium compIicatHs ^ adcoque com' 
nnjjo in Ufu co kvi errors non pfijje non mjjorem fucceijlve generari 
extra dnbuim erat ^u^amohrem machinam qu indam JimpUcem con- 
ficnndum cJje.linearHm Conic drum naiuram rcquirerefnJl.Monentc 
ciHtcm Ciar7j['Dom.Sp\L\[r\o, Mathematico fubtiliJJ. ti- Ajlron. In- 
comparibi'j^operi me accinxi, acinfH'Jidium vocata methodo fen 
Geomdria ili\nt{\\^ante IrienniumMachinam qnandamfabre^peri 
curavi qinB fmpUciiaie jua <^ motus regularitate nuUi alii cederet'^ 
ea ciutem pamgs ante menfes nltimum pevfeUionis Ju£ gradum con- 
JecHta eJi.Ahfoluia autem machina^operi me confejiim applicyi fer- 
ro inducendofignras Conicm.^ prtscipue verv Hyperbolas Parabo^ 
las. ^quarnm focus K 2.io»2 %,^o,pedes & u tra a vertice abejjet. Pr<e^ 
ierqnam enim quQdIr.jIrufmnto meo cnjufcnnq; generis Hyperbc- 
J^e^EIlipfcs ac Psivabolx defer ibi queunt^ ut ^ Circuli (egmenium 
qnodawq--^ ^ id tamen quod machine perfecfionem commcndat^ hoc 
efi^ quod nullo limite clandatur ipfius Vfus *^ vix enim fx pedes 
maxima fua extetifione jtfpcrat machina ipfius t amen opr^/^rcf/sCir- 
culi^EUipfisjParaboIsejatq^Hyperbolae delineari poterit.qui vitro 
iTjfculptus tuhum i 1 00^ i oco pedum rcquirat. In proxima z e oSyi- 
I'ie HerciniaJ vitrariajnodulis bcncficio cuneorum confeClisVitra in- 
f under e curavi ^qu£ quamvis inutilia fuerint ob materiemimpurita'- 
tibusfcatentem^ attamen Cent Sediones maxime accommodatas 
ejje Dioptrico ujin, ipfifq-y in Piano delineari poffe deprehendi ..it a ut 
mediante machina mea ceteberri mam ifl am inter nobilijfimos nra 
'ih:mdti£Os agitatam controverfiam determinare pojfim^ 
Corxeriiing his Dioptrical Studies he faith;that remote from 
other Maftcrs and Books^by the coiidudofthe Carrefian Ana- 
hfis he hath begun to wind huiiieif by a \ov.gCalculus out of the 
Labyrinth oi Vifion^and by the means of -^^/r^f/^?;^/ djfcover'd 
d vers truths both theorical and practical > among which he 
drl vers one, which commends it felf both by its newnefs and 
ijfcfulnef jWhich is^To contrad: ihe IcngcftTubes without at i 11 
prejudicing rheir perfedtion^by magiiitying lo much the ar.o-|e 
cf Vifion, that the longeft Tube Ihall nor perfoim the like, ihe 
Lateral rays being fo accurately feckided, that more of the m lhal 
troubU' 
