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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 46, page id 824573315:0258
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dostituta sunt
Arithmetica Infinitorum.
SCF OV, YV M.
Adeoque de per hanc etiam Tabellam, licet parabolarums
_ Paraboloidium cubicalis, biquadracicalis, aut Puperioris cu
jussibee pocestaris, _c corundem etiam Complementorum
aream invenire: quod pollicicus Cum ad Prop. 48. COn. Scct.
ee supra praeliri ad ProP. 15. hujus.
haec jam plano
dimonitrationo
PBOP. LVIII., Temma..
Andem, ope ejusdem Regulae Cprop. 46.) Si prO
Donatur ejulmodi Ceries infinita quanFITAEUM, 2
puncto vel oinchoatarum, ex continué crelcen-
nig ea vita y tium, pro ratione Poceltatis (non simplicis cantum
autEor scivinit cujulris, (ede) compolica: ratio quam habet illa ad
si non ab alis leriem cocidem maximae aequalium, inveltigatur. Pura
invinta fucishe. Ouadrata, Cubi, Biquadraca, ec. Subsccundanorum,
ducercianorum, Subquartanorum, ecc. auc etiam Se.
cundanorum, Tertianorum, Guarcanorum, ec. Vel
Radices Duadraticae, Cubicae, Biguadratica, _C. Sc-
cundanorum, Tertianorum, Ouartanorum, _C; aut
Subsccundanorum, Subtercianorum, Subquartano
rum, ecc. Auc etiam quocunqu modo compolitx.
Exlemplieraciao Cum leries subcercianorum (puca, V C0.
NCI, N C2, V C2, EC. )rationem habeane Cad seriem cocidem
maxima aequalium) cam quae eA 3 ad 4, Ccu s ad 1 Z: F OryM
quadrata (que eadem Cunt ex radices cubice lecuncanorum, DucA
NCO, VCC, VC4, VCO, _C.) racionem habe bunE ad eoci-
dem maxime aequalia, eam qua cA Y ad 1 5, vel 3ad5. Ouia
nempe 1, 23, 15, vel 3,535, Cunc arichmetice proporcio-
valia.
Paricer, seriei (ubquareanorum cubi, vel (gnod cancundem
cA) radices bignadrarica seriei cuborum vel cercianorum; racI
onem habebune ad seriem Aquelium, uc 4 ad7. Cum enim
eries subquarcanorum racionem habeat in Pabella Tad L Z rel
PrOp. 58.