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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. 6.
De Fyporhesi Demonstranva.
33
S. 2. Expresse rero praemictimus, auc in procressu quo. Vd exprese
eies opusest, inspersimus hanc Eypochelin potissimum de as complere
Subicco complerolire composico, v. 8. cum in meraphylicis
demonstrationi Proportionis terminorum omnium ante
cedencium ad omnes consequences, quorum singuli antece
dentes lingulos conseguences eademracione concernunt, ex
presle peamittimus: qnoniam datorum terminorum sineuli
antecedentes eandem habent rationem ad singulos consequentesi
Eper hypochelin) eric ec. Sic in demonstratione oftaci:
Si Luna Soli est e Diametro opposita patitur Folipsin, exprese
DERMIETIMAS: Ononiam Luna de se obsoura (por observationem)
Solie diamerro est opposita (per hypothesin,) erit opaca Terra medio
praecise loco (per Definitionem) e quoniam Conus Umbrae Terrae Soli
semper opponitur e Diamerro (per axioma physicum) lonsior eriam
guam est distantia Lunae a Terralper observationem) incidet Luna
in Umbram Terra (per xonnv Ervoicr) atque ita Solis hic privara radiis
in sua nativa qualitate, h. c. Obscura. videbirur h. C. (per defini
dionem nominalem) parietur Eclipsin . Quod erat demon
Axandum.
5. 3. In vrraque demonstracione expresseponitur sub- sallem com
sectum ese, v. 8. esse r0 Lunam Soli opponisvel abAracte, esse 5olis ceffibé.
Lunae oppositionem, puta Caltem nominalieer d concessire,
non quod Lunajam actu sit oppolica, led masishypochetico,
sifuericopposua: Nonenim hoc EFaco, quodjam eclip (etur
Lunas Aabilicur, se d ab(oluto, quod si soli sit opposira Luna
(quocunquetemporetias, imo an unquam Aac, an non hac
actu, non acrendendo) demonstrandum proxonieur feri F.
olipsin. Ouamris autem nemo facile Propolitionem ali-
quam sibi demonstrandam Cumae, de qua rel experiencia vel
probabili saltem rarione anceanon coenoricansir, cum dif
Reile BC, uE Arisoteles loquitur. 2. POl. 20. 20 quid sit ? (puta
comploxe, quid cou(ae sic:) invenire, ubine ansis quidem in-
cellisimusi nihilominus eamen Ffaci domonstraciri compor
sci terminum alcerurrum sire simplicem sire complexum, o-
AOEAuC_AC DOssirneeneisnoremo, esse saltem concessive
Cup