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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)
# Folio 144, page id 851385079:0156
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144
De Praeparamentis Demonstrativis.
Sect. 3.
datam lineam ex dato puncto perpendicularem ericere: quoniam
punctum essepotest, vel in ipla linca, relextra candem; de
extra guidem velcirca medium, vel circa finem subjecti quae
lineae continuationem prohibet, quatuor: Ratim OcCurrunE
calus ad quos constructio esttransponenda. Fcsinuda (al.
cemhic imperatur. delincacio, casushi quodammodo extra
Problema qualimanaatarium cadune; sirero recticudo de-
lincationis, vel iplarum lincarum ad quemcunquecatum sC
dererminatarum perpendicularitas ad subiectam. dacamgi
lineam renit demonstranda, cunc d porrereitocidem formi-
consticu. dae lunepropositiones peculiares, quor (une calus, licetcom-
unc parcem Pendii gracia; (quoniam idem est. in omnibus praedicaciun;)
subjecti. subjectum lalcem. tocies. expree poni solcac, omissis praedi-
Cacisr. 9. ACI. Calus. Puncto dato in lineadaca existente,
calis hic exsursit Propositio: Si sumantur duo lineae puncta, ab
uno dato in eadem. ex utraque parte aequidistantia, 5. ex illis duobus
assumpris tanguam ex centris duo describantur. circuli aequales se
mutno secantes; (ny Sueror) linea recta per haec. incersectionum pun-
Eta ad lineam subjectam cadens. erit ex puncto dato: lineae. data per-
pendicularis (EHEVEVOV) 2. C asus, puncto. dato exera lincam da-
camcadence: Si ex puncto dato tangnam centro describatur cir-
culus lineam: subjectam duobus punctis Secans; (5. ex his sectionum
punctis. tanguam. centris. duo alii circuli sibi. mutuo. aequales (s se
muruo secantes desienentur; (ny Bueror) linea recta, per haec. intor-
sectionum puncta ad subjectam: lineam cadens. reritiex puncto. dato
eidem linea datae: perpendicularis: (Exbpcrod) _ C. dc exteris.
Feha. demum Propoliciones ipsum. casum includences lure
illae de quibus insticuenda est expectara demonstratio, quod
hic indicase Cutticiac.
ErsubisS. II. Denigue sunc: incerdum monnuila prius polita,
duc ab utraque. parte concesta, gux demonstrationis Auxui
morampenes audicorem injicere possent, quod aNumoris
jam principiis auc ip(i. propolicioni rideancur contrariari.
Echxclimicare prius oportet, nererum rerorideatur oppo-
ni aeque ita ancequam ip lam inchoer demonstrarionem:A.
naly-