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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)
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De Anculo contaitus,
CAP. 6.
anculus concactus quaniumvis muliiplicatus aneulum aculum rectilinenm
superare nequeat.
Atinquam exo, Idem omnino sequi, s angulus contactus
RacUatUE (non quidem ansulus hecerogeneus, Ced) non- ansu-
lus. Nam, quod nihil anguli habet, quancumvis mulciplicecurs
nunquam consticuet ansulum: cadem nempe racione qu’a Ci
phra, guancumvis malciplicaca, nunquam constieace Numerum.
ANumE auc. C. larius, illud nempe quod cracprobondum, An-
sulum concaecis eserere angulum: acq. hoc guali concella,
conatur obendere, Hererogencum esse, lalcem quod ad ratio-
nem acciner; conempe quod ansulus homoseneus non sic per
5d5. Pgo quidem definicionem Euclidis (cui iplius argumen-
cum innicicur) Facile concedo, et pro reristima alfertione agnol.
COSnEPC Rationem habere inter le masnitudines dicuntur, quae pos-
sunt mulciplicarae se murno superares B COntra, Maenitudines, quae nON
possunt, quentum vis malriplicatae, se murum superare, non dicendae sunt ra-
tionem inter se habere; Ced proheterogeneis habendae fune. Non
sgitur attirmo angulum concactui de, ectilineum esse quantitaces
homogeneas. led nec hecerozeneas, led eorum alcerum quanci-
carem else, alcerum non este. Arq; illud ancea dixerat Peleta.
rius, nec tamen quidquam Colida rationis aftere C larius, quo
concrarium ostendar.
Ouod enim dicie, ex detinitione anguli plani, D anculus pla-
nus efficiatur, sufficere duus lineas in plano ad invicem inclinari, non au-
cem requiri, ut se muruo secent. F. 80 illud Faceor; Ccd nego peri.
pheriam de rectam cangencem ad invicem inclinaris Calcem quoad
punctum concurluss coincidune enim, non inclinancur. A5-
nolcocciam (qnod alibi aic) Anculum consistere in unico puncto, 
linearum inclinatione quae non indirectum jocent; verum lineas haa in-
clinari non agnolco. Sed _ cum Pelecario attirmo, cas Tolum
lincas inclinari (in puncto concurlus) quae, A producantur, Cc
mucuo ccabunc: Beq: contrarium Clarjus ostendic osviam.
AI, inquIE, Recta finita es infiniia ideo non cenlentur ejusdem gene-
sis, cum alcera ad alieram proportionem non habeat, quamvos sub eodem.
eoners maenicudinis, rempe line a rectd, comprehondantu.
Rclpondeo. Provolicio Archimedis procedie de duabus mag-
nicudinibus inxqualibus daris, (No uerdior ariour SodErxor,)
Ee similicer Euclidis a C xo de duabus maenicudinibus inxqua-
libus proposiris, (No pgor artocor enncicircur.) AC verd quis
dedis