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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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PFOD. 25,26.
drithmetica Infnitorum.
ram illam M TM ex intinitis Sectoribus Cimsilibue, quarum ra
eli sunc Arichmecice proporcionales, adeoq. Sectores ipsi in
duplicara racione Arichmcrice proporcionalium (quippe (i0a
rum lacerum;) Sectorem aurem PMT ex cocidem Sectoritu
maximo aequalibus: Pricq; proxrerea Figura illa ad hanc, un
2 ad 3. PeF PFOD. 21.
Sectoris aurem nomine hic appello eciam Sectorum quocti-
bec agpresarum, licer lemicirculum (auc quidem circulum
inceorum) aequet rel etiam superer; (sicuc e de Anguli ap-
pellacione lupra monnimus, ad Prop. 5.)
PROP. XZV. CorollariuM.
DiBRerea, Figura MTa quaespiralis circulatione
pehtea defcribitur, aequatur trienti circuli primi, aa.
Nam correlpondens Sector concerminus eAt ipse circulus in-
cexer AA, circuli primi radio MA eodem cemporo delerip.
18.
PROP, ZXVI. Corollarium.
Dae vero ficura describitur inteeris circulationi-
busprima et secunda prima, secunda e tertia,
prima, secunda, tertia, es quarta; e sic dein-
ceps: (qua libet parte toties repetita, quoties circulando de-
Serchitur:) aequatur trienti circuli secundi, tertii, quarti
exc. bis, ter, quater, Sc. (juxta numerum circulatio-
num) sumpti.
Nam dum describicur EDiralio NAB (pluabus circulocioni.
Buofacta) a punsco mobili ab M ad B (in recta cireumducta
MB) pro moro. ee simul feura plana a recta (sic concinve cret.
CenCE) circunducta: Lodem cempore describirur (a rectaco-
ta MB circumdvEtA) circulue Sccundus bis. AdeOg. QuBE Par.
cibus continne crelcencibus (in rarione duplicata Arichmerice
provorcionalium) conttoc ficura illa Spirali cerminatas coci-
dem maximae equalibus constabic circantus ille bis delcripeus.
Duarefigura Ho deseripra spirali adjacens, erie ad cisculun
 C
cen