9 5 Poſteriom. ſtrat in materia ſimplici ſed in abſtractiõe a materia ſenſibili( eſt em materia ſẽſibilis materia q̃lis ᷣtuteſ em̃ actiue ⁊ paſſiue cuiuſmõi ſũt qlitates pᷣme ⁊ qualitates ſcðe q̃ deriuant a q̃litatibus pᷣmis faciunt rem quãcunqʒ eſſe ſenſibilẽ) demõſtrat em̃ geomet᷑ hoc.quia q̃tuoꝛ recti anguli nõ poſſunt ſurgere ſuꝑ planũ cũ om̃is angulus ſolidus ſit minoꝛ q̃tuoꝛ rectis.planũ aũt qðlibet non plus qᷓ; quatuoꝛ rectis eſt equale. et hee demonſtrationes ſunt in terminis q̃ abſtracti ſunt a materia ſenſibili.i.a materia q̃li que ſunt virtutes actiue ⁊ paſſiue materie ſcz vt eſſe eq̃le quatuoꝛ rectis.minꝰ quatuoꝛ rectis.⁊ qͥd ſur gere in plano et eſſe in ſublimi.. 1 Mabet autem ſe ad ſperulatiuam. Poſtqᷓ; phus oſtendebat quomõ differũt ſciẽtie ſubalternãtes ⁊ ſub alternate immediate Mic cõſequeter declarat de hijs ſciẽtijs q̃ non immediate ſubaltnant᷑.hoc duplicit Aut qꝛ mediate aut ſecũdũ ali⸗ quã ꝑptem.aut ſm applicationem. Si mediate et ſic eſt ꝑſpectiua ad geometriã cuiꝰ media eſt naturalis phia ſiue phiſica vt declarauimꝰ Si ſcðm aliquã ꝑtem ſicut ſciẽtia de vride q̃ ſcm ꝑtem aliquã eſt ſuᷣ alternata Mã phia non ſubaltnat᷑ immediate ⁊ ſimpliciter ꝑſpectiue ſed guaiſ ad aliquã ꝑtem vt de vride.Igit᷑ qñ ꝓpter quid ⁊ qꝛ cõpa rant᷑ ad tales ſciẽtias diuerſas cuiuſmõi ſunt pſpectiua ⁊ phiſica talis cõparatio nõ eſt ſcom ꝙ vna ſciẽtia ſubaltnat᷑ alteri ſimpliciter tʒ ſᷣm aliquã eiꝰ ꝑtem Si ſcðm applicationẽ ⁊ vbi ſubiecta oĩno ſunt diuer ſa vt geometrica ⁊ medicina que ſcðm nullã ꝑtem ſubalenant᷑ niſi ꝑ modũ applicatiõis vt dicẽdo ꝓpter quid circularia vuinera tardius ſananẽ q́; oblonga q̃ ratio dicit᷑ ꝑ ciruꝛgicũ exꝑimẽtata qꝛ tardiꝰ ſa⸗ nanẽ᷑ Sʒ applicandũ quãtũ ad hoc in quo circulus ⁊ rectũ differunt tinet ad geometricũ Mã rectũ eſt cuius mediũ non eſt ab extremis

ed circulus ⁊ curuũ cuiꝰ mediũ diſtant ab extremis q̃re ꝑtes linee recte magt cõiũgibiles ſunt qᷓ; curue cũ mediũ ſit magis ab extremis diſtans ꝙᷓ recte Poſſet tñ quis dicere ſiꝓpoꝛtio pulſuũ in medicinis deberet demonſtrariqꝛ eſt dicere medico ⁊ muſico ꝓpter quid ⁊ ſic eſ ſet ad aliquã ptent balihata vt de pulſibus ⁊ põderibus.. Figurarũ aũt magis ſcire kariẽs marie ma. Poſtq́ᷓ phᷣus determinauit de demõſtrationibꝰquomõ fiũt ꝓpter qͥd ⁊ qꝛ ⁊ cil oĩs talis fiat ſilogiſtica rõne demõſtratiua.hic oſtendit in q̃ figura ſilogiſmoꝝ determiĩata ĩ pᷣoꝛibꝰ maxime fierẽt ſilogiſmi demõ ſtratiui faciẽtes maxime ſcire hoc eſt ꝓpter quid Ad qð ariſtoteles inducit q̃tuoꝛ ratiões.q̃rũ pᷣma ſumenda eſt mathematico reliq̃s ti⸗ bi dialetice relinquo. Quãtũ aũt nobis ad ꝓpoſitũ ſufficit mathema tice dicimꝰ ꝙ maxime ſcire ⁊ pᷣcipue ꝓpter qusd facit ſigura pᷣma.ſicut tibi diſertiſſime magiſter oſtenſuz eſt in euclidiſticis rõnibus deduc tis more ſilogiſmorũ De nũero oĩm ſciẽtiaꝝ in quibꝰ eſt maxime ſci re ꝓpter quid ſunt ſciẽtie mathematice Mathematice aũt ſ cẽtle ſiue ſubaltnãtes vt ariſmetrica ⁊ geometꝛica.ſiue ſubalt᷑nate vt ꝑſpectiua

ars potẽciaꝝ motuũ.ars de põderibus ⁊ in eo qð vere eſt dicere de om̃ibus ſciẽtijs etiã mathematicis ꝓpter quid. ⁊ nõ quia faciũt demõ ſtrationẽ ſiue ſpeculationẽ.aut em̃ oiĩno hoc eſt vlr aut ſicut frequen⸗

cius ⁊ in pluribus ⁊ ꝑ hanc pᷣmã ſigurã eiꝰ qð eſt ꝓpter quid fit ſilo giſmus ꝓpter quid.⁊ ꝑ hanc figurã pᷣmã ſcʒ eſt ſilogiſmꝰ maxime fa ciẽs ſcire cũ medius terminꝰ ſubicit maioꝛi extremitati qͥ eſt pᷣqcatũ cõcluſionis ⁊ p̃dicat᷑ in ↄcluſione de minoꝛi termino q eſt ſubiectũ cõ dluſionis Sed in demõſtratiõe ꝓpter quid opoꝛtet mediũ eſſe cauſaʒ

paſſionis q̃ pdicat᷑ in ocluſione de ſubiecto? hoc maxime cõuenit p̃ᷣ⸗

2 4

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