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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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De Subjecti
Sect. 1.
Sciplinis specialioribus, in quibus affectio generi cujuscun-
que oradus superioris Disciplina signate propria (ucesta-
quale, inaguale, ratio; proporcio, idem, diversum; necessarium,
conringens, respectu Encis ecc.) Sedhic exercire cerro modo
decerminata (r. 8. aequale quadrato hyporenusa; rario ut radius
ad circumferentiam, necessarium ad salurem ec c.) pluribus sub-
jectis non juxra communesillasnaturas, sed juxra naturam
Engulispropriam conreniens, sigillacim etiam ex principiis
propriis demonstratur, quod ex inspectione scienciarum
(non sexicorum) coonolcerelicer.
Nc com
5. 29. Fcdehis demumrebus principalicer intelligen:
dum renic, quod Arilc. Foties urget, non posse demonstrando de
Ls (GCaMS: genere in genus aliudrransiri: nempe h fuerir affectio commu-
nis, nullum aurem commune inreniatur in subjectis, juxta
quod omnibus e singulis ea comperac, non purandum est,
iisdem principiis quibus ex tuo genere desumris haec affe-
etio deunis demonstratur, etiam candem posse de alteris de.
monstrari, aequeica licere demonstrationem (alcem ab uno
genere in aliud genustransterre, h. c. demonstrandocis âmq
revosuerabairen, neutiguam; se d porius de lingulis subjectis
in specie communem illam affectionem scorsim esse ex suis
principiis octendendam, id quod ab Fuclide Factum est lib.
F.P. 32. _ lib. 3. P. 22. Fx quo resulcachoc Collorarium;
Propesitie demonstrativa, non semper debet, ino supi non
petost, effeubsoini reciproca.
5. 30. TII. Si aliributum quodplaribus juxta communene
sed aequiba nacuram comporit de vereaspecio salvem estendatur pon principia
quihur idem de conoro possit ostendi smeratis esporfecta quaadrem
est demonstratio, omnibusq numeris ansolusa anriburi de ipsove
nere scientia. sed implicita e volur anionomastica: Fetales de-
monstrationes frequencer occurrune in Dilciplinis specia li-
bus e Cubascernis (r. 8. in Sphaerica) ubi affectio quidem tori
generi (sphaerae geometricae) competens, ledinejus certa spe.
cier cujus considerationem dicta sibi rendicat Disciplins.
V. S. in sphxramundi) maxime conspicua, de iplahacspecie
Tadeim
mr
implicite
lonter;