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# Title: [Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea (shelfmark Leibn. Marg. 106)
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Cap. 5.
De Postulats.
ut inde resultans consecurirum sic concernentix praedicact
cum subjecto principium demonstratirum e causa nomina-
liceressendi. Exempla quam plurima complecticur Fucli-
dea Mecaphpsica, quae rideri potest.
5. 7. Posterioris Clastis Postulaca sune illa geometrica, Pel positiba
ux, licet deporenciâ, rel pocius abstracte de eenominali, qua sunt
Loquantur quavenus ad iplam achibentur demonstratione.
actualem camen existentiam a parre rei sem per includune, at-
que ica semper posicira Cunc. Forum crianoratu dienissima
praemitrie Fuclides in Elementis dum aic: Postuletur, ut à
gnovis puncto in quodvis punctum lineam ducere: _ rectam line- 1. ZonoraH
am terminatam in continuum recta producere: Item gnovis in-quorum be
tervallo Circulum describere, concedatur: h. C. PosuIetUr, ux rus sensus.
quiris ratione urens aenoscat _ concedac (1) inter quaris
duo puncta spacii tractum linearem, h. c. diactema faltem
lonsum intercedere: (2) lineam rectam quamcunque, licet
cam ex ca alcem parre, qua duobus punctis dacis interiacee
hujustisurx rospectu concipiamus, rerera porroulera pun-
atum aleeruerum vel utrumque in infinicum rectd excurrere:
(3) circa quodris punctum spacii ad quamcunque distantiam
curram esse circumjectam lincam, qua sccundum OmBeS
Parresaqualem ab illo punctohabeat distantiam: quae qui-
dem omniarel disito delignare rel alio quocunqu siono di-
Ainctereprae sentare _ ita ducere, Aruere, construere liceat.
5. 8. Ducere enim lineas in demonstrarionibus geome- Ducoroli-
ericisnon est facere lineas. Sedhicpraesentes, e datis punctisncas in ssco.
nacurajam incerjectas, vel ad dacam plagam actu semper ex- morrid,
currences, salcem delignare, ee designatas distinde concipe. quia s
re. UInde cum in demonstrando incer principia perfoctira
nonnunqua allegamus scructuram. Constructionem, non cogi-
candum est, ipsam relur ex arbitrio nostro factam ettatum
nonnisi cominsencer probare, quin pocinsreireriratem ab
ipsa naturd hoc ipso dependere sciendum eAt. Resenim
Beometrica, (quas elacora uera Zumedia incer ressensibiles
 LdCa3: AriAoEles communinomine ra aqaa rOca
rit