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# Title: Concordia Scientiae Cum Fide, E difficillimis Philosophiae Et Theologiae Scholasticae Quaestionibus Concinnata ... (shelfmarks Leibn. Marg. 183, Stück 1; Leibn. Marg. 183)
# Folio 311, page id 1665034815:0319
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t AN AF YS I.
AB reCtA AF. Nam primo C D peripheria nun quam a C O. ABCFFRE, HOI
intra, non supra, quiaubique cenerum P: pari incerrallo à recta disjungitur.
perpendicularis enim el mensura distoncia, ec in omni contactu radius cir-
culi est perpendicularis ad rectam CO, radii porro aequales, aequalis isieur
ubique distantia. Deinde Fingi nequic idem punctum peripherix C. D per plu-
ta puncto, rel parres rectae C C radendo transire. Nam ubicunque aliud
punctum circuli majoris in A F rectam incidic, non idem punctum minoris
haeret in C C, Sed aliud diversum illam acringic. Post conractum in A, le-
quacur, si placet, contactus in B, cum ex B ad cenerum radium educito, qui
circulum minorem non secabit in C, sed in puncto direrloD. Ouoniam ve-
rorodius B B F est perpendicularis ad rectam A F quando He contactus in B,
est autem C E parallela rectae AF, crie idem radius perpendicularis exiam
adC G, ac proinde peripheria CD non jam in C, sed Drectam atringit.
Idem etiam non exratione eantum geometrica, sed ex ipsa morusratione
consicitur. Nam rorx volutario ex duplici quodam modo componieur, vel
ex duorum moruum compositione mence contieta Facilius exponitur. Alius
est enim mocus spracionis in orbem, alius lacionis auecractionisin rectum.
iterque concinuus neque ullis morulis, ut Cupra vidimus, inCCTEUPEUS.
Concinuata porro motione recta centri per rectam P. F, (i punctum C rade-
rec rectam CC, nec aliud concinuo punctum in eam descenderet, syratio
tancilper sicteretur, quod quam absurdum sic Paris patet, cum quia nullum
occurrie obstaculum, cuin quia tracturaradii, uc alibi ostensum est, seque-
recur. Denique coextensio ec commensio peripheria minoris cum recta CC
nepari non pocest, ex eo quod conractus secundum punctainextenla, non
aurem secundum parres exrensas accidar, hocerenim de peripherix majori
perinde convenir, quam tameN Ita reCtR A F Coextenlam ridimus ve veriul-
que incer se nalceretur aequaliras: Dic isitur in quo hujus periphecix conta-
cuscum AF, ab alcerius cum C C recta discreper. In urraquenihil est quoa
poncans ac rectam, quia nihil est quod supra vel intra cadat, quum quicquid
est in ueriulque peripheria a recta subscripea paricer distet. Nihil aurem quod
radat, auE (epIUS CandEM reCtam acrinsAE, eadem igieur veriusque ad re
ctam lubjectam coextentio, ex qua vel inneurra rel in utrague prodetur equa
lieas. Nili Forre aliquid inrecta superiore C C sine raceu rranlitiri quis tnXe-
ric: Id si heri Porelt, assignetur locus in FL Caleu cransmissus, perque FL
perpendicularis IEHT I incelligatur erecta, qua cum uerique AF, C C ad
pormam insillac, liquer peripheria exteriore receam A Pcansence in Prectan
CC ab inceriore concinsi in signo H. Nihil isicur in recta C 6 a peripheria
MMIROrO