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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 51, page id 824573315:0071
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CtLL3
ex semicirenli.
ins nuHII. Idem iorcur de de angulis concactuum in Conicis (e-
Ecionibus rerum eAt non minus quam in circulis. Sed _ arou-
mentorum praecedencium aliguor de lcctionibus conicis, aliilve
curris, paricer acq; de circulis concludune.
Postquam hoc cocum negocium ablolveram, admonuir me
(quod ance nelciebam) C laristirmes vir D. Seihus W ard; aped
nos AAronomix ProFecor Savilianus, dienissimus COllesa me.
us, Cabbaeum, in libro uo de Meceoris, Viccllionis demonstra-
tionem et minus sufticientem improbasse, ca quicem de causa
quam ec cgo jam innuii adeo ur eam quam lubjunxi contiema-
cionem non ommino inurilem fuisse, led plane neceltariam, jasm
reperiam
CAP. XV.
Clavii Corollariis respondetur.
Eniq; mysteria alighic adjunsie C lavius, quati ex Fu-
clidis proposicione, prout ab iplo est incellecta, emersen-
Potest aliqua quavriias continue e infiniie auceri, altera vero infini-
re minur; e tamen auementum illius, quantumeur q sit, minus semper
erit decremento hujus: Proxcerea nempe quod angulus concactus
quancumris mulciplicarus, minor sic angulo quovis rectilinco
quancumvis diminuro.
Irem illud ex C ampano; Transiri posse aminori ad majus, vel
consra, es per omnia media, nec tamen per aegnale. Quod cancundem
eRach diceret, erectum quemvis in plano Horinoncali lancem,
Polle dexerortum ab Orience ad Occidemem Faciem converre
ic nec eamen incerim ad Meridiem convertam habcac.
Achaec, de siqua une similia, cum aliud non babeane funda-
mencum, quam quod lupponane, anculum contactus vere quantiia
dem esse, ulceriore retucacione non indigenc. Susticic enim de-
monstrasse, (quod abunde Factum esse judico.) Anculum conta-
etus esse non- aneulum, LEU MOn quaMIUM; E PrOPEeIC. Anculum Se-
micireuli aqualem esse recto rectilineo.
NI
X
iu ec illua Conca