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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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Arithmetica Insinitorum.
Prop
proporcionalium sive ut radices cubiex secundanorum; quibus
in Tabella convenic rario 3 ad 5.
Echujus complemencum ordinarim applicatas habebit in di-
ameerorum suarum racione lubduplicarx criplicaca (quod cals
aesumeneo probabicur, quo ulus Cum ad PeoD. 23.) d propie.
rea planum illud erit series radicum quadracicarum cuborum
sive Tercianorum; quibus assignarur in Tabella catio 2ad 50
Ec paricer de aliis judicandum.
SCHOLEVM.
Acque hoc pacto alix adhuc Reurx curvilinex (prxecer cas
quas imnuimus ad Prop. 45, d 57.) ad a quales rectilineas redu.
cuncuc. Nempe omnia cujulcunque generis Paraboloidea, e eo
rum complementa.
PROP. LZII.. Corollarium.
Tgi exinde etiam patet methodus ad aequalia Cy-
lindros e prismatareducendi conoidea  Pgra
midoidea omnia parabolica ex Paraboloidica
(non modo qualia memorantur prop. 60, ubi planorum or-
dinatim- applicate procedunt juxtarationem semplicis a-
licujus potestatis. Sed es) etiam quae aptantur ejusmodi
Paraholoidibus (qualia memorantur prop. 6T.) quorum
ordinatime. applicatae procedunt juxta rationem serrei ali-
eujus porestatis composita.
Exlempli seacia. Si paraboloidis ordinatim applica.
ex sine in diamerrorum ratione suberiplicacx. duplicata
vel Saberipliceca duplicaca) eric iAtius planum rectarum
teries infinica in racione radicum cubicarum secundano-
rum: e propterea Conoides rel Ppramidoides erie leries co.
tidem planorum in carundem rectarum racione duplicata,
ideoque radicum cubicarum OLArEaNOrUMM; _L PrOPEerea (IUXCa
cabellam ProP. 59.) ad Cylindrum vel Prilma circum scripium.
NC 3 ad7.
Icem, Ei Paraboloidis ordinatim applicacae sine in diameero.
um ratione Eulquadeuplicaca criplicata; erun plana Conoi-
C
C