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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 182, page id 824573315:0394
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Arithmetica Infinitorum.
Prop. tyt
caret; Nobilissimus Vir ille, re apud se perpenla, methodo icem
Infinicorum sibi peculiari quanei-
cacem ad hanc Formam commo.
distime delignandam judicarie.
Nempeh unicaci adjungacur Fra-
aio, quae denominatorem ha-
beac continve tractum; cd
D = 1 22
2 24
ECC
lege, uc particularium Fractionum Numeratores (InC 1, 9,
25, _c. numeri quadracici imparium 13 3, 5, _c. Denomi
nacor vero mbig: 2 cum adiuneta tractione, et sic in infinitum.
Hoc simul addito, ue, ubicung; tandem placeat consistere, pro
ulcimo numero 2 cum tractione deinceps insecurura, ponacue
horum aliquis (proue locus ubi consistitur pottulaveric) 3, 5,
7, 9, _C. (deinceps ab T, numero incegro, arichmetice pro-
Porcionalium;) nempe hin primo locolictatur, 3; E in secun-
doos; hin tercio, 7; & SC deincepe;
polico numeri qui locum denominar
duplo unitare aucto. ACgS hoc Pa-
eto, hin Fractionis loco impari scta-
cur, prodibit numerus justo major;
En pari. justo minor. Ouo lonsius
aurem procedatur eo proxius uerinq
ad numerum juctum acceditur.
Acq; ad eandem Formam numeros
reliquos cabella nostrae quaelcos de-
henaric; alialgi ex progressionibus
nosris, iis in expolica cabella similes,
2. jucto minor.
13. Juttomajor.
5.Setuo minor.
3 MInOF.
incerpolarie. Pocum vero illius methodi processum aperire,
lonsius esser gnam uc hic inferacur. Spcrabam aurem aliquan-
dotoreuc id iplum ab illo in Formam disetum publice exhi-
bCaEUT.
ECHOETOM
Ouum vero Nobilissimo Viro difficilins perluasum iri video
ut illudipse Iuscipere relit: conabor egorem illam ad iptus
mencem, quam posim proxime, brevirer extribere.
Animadrertie siguidem Nobilisimus Vir, numeros duos im-
pares continue proximos, s invicem ducantur, rectanculum
Cacere, quod quadrato incermedii numerrparis sic unitace minus
(DuTA
2
82
2ala.