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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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PrOD. 63.
Arithmetica infinitorum.
dis vel Pyramidoidis, in carundem diameerorum ratione
Tuliguadcuplicacae Sexcuplicaca Chre, quod cancundem ralet
Tubduolicac exiplicata,) ideoque Conoides rel eyramidoides
illu (ex ittorum planocum Cerie conslacum) ad cylindeum. rel
Pricina circum Ecripcum, uc 4 ad 10, vel 2 4d5.
Ec paricer in aliis juxca cenorem Tabella.
PROP. IXIII. Crrollarium.
Odem modo; Forundem Semi-Paraboloidum comple-
Lmentis aptata Conoidea  Pyramidoidea, ad aequalia
Cylindros ex Prismata reducuntur.
Exlempligraria. Si semi paraboloiis complemeneum ordi.
nacim applicacas habeat in diamecrorum racione (ubduplicaa
eriplicaca, eric planum illud rectarum Ecries infinica in racione
radicum quadracicarum cuborum Cre Tercianorum, et proinde
Conoides vel Pyramidoides huie apcacum, eric leries cocidem
Planorum in carundem rectarum racione duplicata, adcoque
in diametrorum racione subduplicacx. (excuplicata (Peu, quod
eancundem ralec, in diamerrorum racione criplicaca:) erie igi-
cur ad cylindrum rel eritima circum (cripcum, ut 2 ad8, vel 1
iiem, E semi paraboloidio complementum ordinacim ap.
ad 4.
plicacashabear in diamerrorum ratione luberiplicaca quadru-
plicaca; crunc plana Conoidis vel Pyramidoidis in carundem
diametrorum racione Luberiplicacae- Octuplicata; et propcerea
ut radices cubicae octaranorum; adcoque Conoides vel Pyra-
midoides illud, 2d cylindrum rel Prilma circum (cripeu, uC3
Ec paricer de aliis judicandum cA juxca Tabellam praemis-
ad X1.
Tam.
SCHOLTVM.
Doenimus igitur, quo modo Parabolae e Paraboliodea om-
nia cujulcunque generis, e corum complementa, su l’ala
loeramma: Fc corundem Conoidea se Pyramidoidea ad cy-
lindros _ Prilmaca; reduci postunc. Adcoque infinica ProblC.
mala