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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 36, page id 824573315:0056
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CAP. IC
Respoae; IIlud quidem uciacim ab Euelide demonstra-
ri depacallelis rectis: Ac vero non minus rerum eA de paralle-
lisquibuscunqi. Non enimhoc oricur ex linearum recticudi.
ne, led es carum parallelilmo. Hlujus enim aftectionis vera cau-
Ex hiaec est: quoniam (i, verbi graria, rectae B, B, Parallela sine
eriine aequalicer ubiq; ab inricem distances: AC hoc non ACE
nist quanca. sit unius rertus alcera
inclinacio canca sic e hujus ab
illa reclinacio: B enim recta B ad
rectam B masis inclinet, quam
haec ab iIla reclinat, eric carum
ad inricem approxinquario; 
concra, clonsario; non autem ca-
dem manebic distancia. Sed et i-
deommino sequeretur in curvis:
Nam, E periplieria a (fiz. praeced. )
masis inclince ad peripheriam A,
quam haec ab illa reclinat, vel co-
era; necesse erse ne carum distancia ab inviCEM mUTeTUT, neq; Co-
Ransmancac; quod camen carum parallelismus supponit. Cum
izicur eadem sic utrobiq; affectionis hujus cousa, eadem erie
ucrobiqi affectio, live in rectis cire in currius nemperecca paral-
Lelas Secons ansulos alcernos aequalestaciet: EE Propterca, an-
sulilemicirculorum, ucuc imxqualium, aequales CTUME.
60 Addoeciam; cum illud in fismis aliis cesularibus om-
nibus accidat, uc nempe in tguris similibus rectae linsiliter po.
sicx aequales relpeccire ansuloo cum perimerris Faciant; non
credendum est illud in circulis secus esse: Eactem enim estom-
mino rario in tiguris erium, quatuOr, quinq:, lex, suc quorrii-
cunq; lacerum, sive sinc numero fnica tive intinica; adc093 &
in circulo.
Veristimum quidem est, ejusmodi affectiones, quae, in figurio
regularibus, quoad menturam decrefcunc, prour lacerum nu-
merus augetur, auc conera; cas in circulo (qui est quai polyso
non infinicorum lacerum) prorlus cranelcere. Ilc, verbi gra-
cia, dilferencia rectari quae a cencro ad lacera perpendicularicer
ducuncur, ab ipsis rectis quae a ccnero ad angulos ducuntur; hoc
ett, rectarum a cenero brerissimme et longistima differencia:
(idco95
De Aneulo contactus.
29C2. non aucem in lineis curris utue parallelis.