2

Poſteriomũ.

diffinit᷑ ꝑpᷣmã ⁊ tercia ꝑ ſcðam ⁊ꝛ ſic deinceps ⁊ ſubiectũ eſt in rõne pꝛi me paſſionis igit᷑ erit in rõne oĩm aliaꝝ ꝓpter qð ſequit᷑ ꝙ omia 2 pᷣdicata ſic accepta ſunt ↄuertibilia int᷑ie ⁊ cũ ſubiecto qꝛ q̃rta ↄuertit cũ tcia ⁊ tcia cũ ſcða ⁊ ſcða cũ pꝛima et pᷣma cũ ſubiecto ⁊ q̃cunq; cõ⸗ uertunð᷑ cũ ↄuertibili ↄuertũt᷑ etiã cũ eo qð cõuertit᷑ cũ illo.nullũ autẽ auertibiliũ excedit aliud igit᷑ ad ſe reuertunt᷑ ſibinuicẽ ⁊ non abeũt in ſurſuʒ accipiẽdo.patet in ſcðo mõ dicendi ꝑ ſe nõ ↄtiĩgit abire in infi nitũ. nec ĩ pᷣmo ↄtingit q̃a talia p̃ᷣdicata ſunt de diffinitiõe ſubiecti ⁊ ſi

illa eſſent infinita tũc infinita eſſent de diffnitiõe vniꝰ⁊ ſic nihil ↄtige⸗

ret diffinite ſcire.q̃re ergo ſi eſt ſtatus in ſurſum ⁊ deoꝛſum ſcðm aſcẽ ſum ⁊ deſcenſum qᷓſi ꝑ duo extrema ergo media nõ ſunt infinita cũ ex trema ſunt finita vt dicit᷑ yſocheles eſt trangulꝰ⁊ triãgulus ſuꝑficies eſt ⁊ ſuꝑſicies figura eſt ⁊c̃.nõ itur in infinitũ nec deoꝛſuʒ vt figura de q̃drato.de q̃dꝛato ꝑte altera lõgioꝛ.de ꝑte altera lõgioꝛi helmuaym. de helmuaym helmuariffe ⁊c̃.ſic em̃ ĩ infinitũ ꝓcedẽ eſt ĩpoſibile Mã vt dicit oẽm ſubſtantiã q̃ eſt int genꝰ ⁊ differẽciã opoꝛtʒ diffinire. hu⸗ iuſmõi aũt dꝛam diffiniẽtẽ nõ ↄtingit ꝑtrãſire.ſi ergo talia eſſent infi⸗ nita nihil eſſet diffinibile.q̃re cũ hoc ſit falſum ſequit᷑ ꝙ nec in ſurſum nec in deoꝛſũ ſunt infinita talia p̃dicata ſubſtãtialia Mã illã ſubſtan⸗ tiã nõ ↄtingit diffinire de q̃ infinita p̃dicãt᷑ q̃re ponere infinita diffi⸗ niẽtia eſt ponẽ nihil eſſe diffinibile ⁊ ꝑ ↄſequẽs nec media eſſe infini⸗ ta ců extrema finita ſunt.ↄſtat ita nĩm ꝓpoſitũ ſi hoc eſt ꝙ eſt ſtatꝰ in ſurſũ ⁊ deoꝛſum tũc neceſſe eſt deuenire ad aliq̃ p̃ma p̃ncipia demon ſtrationũ q̃ ſunt indemõſtrabilia.qꝛ oĩs demõſtratio eſt et᷑ pᷣoꝛibꝰSʒ pncipijs nibil eſt pᷣus cũ hoc eſſet ↄtra rõnẽ p̃ncipij ⁊ fieret ꝓceſſus infinitꝰ cuiꝰↄtrariũ oſtẽſum eſt Mã deuẽtũ in demoͤſtratiõe triãguli ꝑ oẽs paſſiões ad hoc ꝙ ↄſtituit᷑ ſup datã lineã ꝑ pᷣmã pmi elemẽto hec vltima paſſio ꝑ pᷣmeua p̃ncipia ſcʒ ꝑ diffinitioes petitiões ⁊ anĩcõ ceptiões ꝓbabit᷑ quibꝰ p̃ncipijs vlterius eſt ſtatus in demõſtratiõe. Nã ꝓbatũ eſt ꝙ in medijs nõ ꝓcedit᷑ in infinitũ ſi p̃dicata ſtãt ſupe⸗ rius ⁊ inferiꝰtanq́; extrema.nõ erit ſumẽ media eiuſdẽ generis infini· ta. cũ diſtãtia extremoꝝ det᷑mĩata ſit ⁊ ꝑ ↄſequẽs nõ itur in infinitũ ꝑ media que non ſunt extranea. b

Vonſtratis autem hijs manikeſtum eſt.

Hic phus infert coꝛrelariũ ex pᷣmiſſis dicens ꝙ demõſtratis hijs ſcʒ ꝙ nõ eſt ꝓcedere in infinitũ in p̃dicationibꝰ ⁊ demonſtrationibꝰ ma nifeſtũ eit ꝙ ſi aliquid inſit aliquibus duobꝰ ꝑ aliquod cõmune non opoꝛtet illud cõmune eis ineſſe ꝑ aliud cõmune ⁊ ſic in infinitũ qꝛ ſic media eſſent infinita extremis exiſtentibus finitis vt paſſio illa habe re tres ⁊c̃.ineſt vſocheli vſopleuro ſcalenonię aliquod ↄmune qð eſt triangulꝰ.nã qð vnicuiq;ʒ ↄuenit.ↄuenit triãgulo et nõ opoꝛtʒ ꝙ illð ↄmũe ↄueniat eis ꝑ aliud ↄmũe. vt triãgulo ineſt figura ⁊ figure ĩeſt ſupficies.ꝛ ſic ſitſumere ↄmũe poſt ↄmũe ⁊ ꝑ infinitũ. qð eſt impoſ⸗ ſibile. Nã illud ↄmũe triãgulꝰ ad yſopleurũ vſochelẽ ⁊ ſcalenonẽ hʒ ſe ſcöm paſſionẽ vt dici de omitriãgulo. hec paſſio de figura habet ſe vt ꝑ accñs.nã ſuꝑficiei q̃ eſt figura ⁊ figura qͥ eſt triãgula ineſt p̃di⸗ cta paſſio q̃re ↄuenit pᷣdicta paſſio figure ꝓut det᷑mĩata eſt ꝑ triãgu⸗

lum qᷓre ſequit ꝙ pᷣdicta paſſio ineſt vſocheli ⁊ yſopleuro ſcm ↄmÜe

ꝙ triãgulꝰ cui omi eſt dicere ⁊ ſcom ꝙ quedã figura.qð eſt iductiue. Om̃is aũt ðᷣmõſtratio ẽ ex vlibꝰvt dixiꝰ ⁊ de his q̃ ſũt ꝑ ſe ⁊ nõꝑ iduc. Cum autem indigeat monſtrarertr. Mic phᷣs ponit ex pᷣbabit ad inueniẽdũ ꝓʒões ĩmediatas in demon ſtratõibꝰ dicit ergo.cũ quis indigeat demoͤſtrare aliqind. opoꝛtet ꝗ

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