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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 infinitorum.
PrOp. 182
dinis Eguex cu;uslibet (sire planae sire Colidae) non nili in ca-
demracione augeciplius aream sive magniendinem; adeoq; ubt
alcicudinis zugmencum esnon nili aliquoca lui parce intinice
pPaera, eric eciam cocius tisure non nili in eadem racione auctio,
hoc est aliquoca parce lui infinite parra, tive = cocius ABWIX;
9.0d (cum non intiniries, sed Cemel TANCUM (LMAEUE) OMIMI
allignabili spacio minus eric, adcoqs pro nullo habendura.
Sin tandem quaeracur, cur ego tisurarum inlcripcionem, po.
eius quam circumscriptionem, eligerim; adcoq; ab 0 potius
quam ab F, ubiqs sere inchoarerims praelereim com tgura cir-
cumlcripca (non uno gradu lupra rerricem concinuaca, ue ab
O incipiat, sed pocius ab 1) eandem habeat praecise ee balin d
alcicudinem cum ea caiadCcribitur, sire in Cerie primanorum.
sire secundanorum, auc aliorum lequemcium; icem sire finita HL
hre intinica series
Dicimus: Posse quidem id quod agimus ueroris modo feri,
nempe vel pertixurarum inscripcionem vel circum (criptionem
(quod de lupra monnimus ad prop. 43. quae rocihuic Scholia
anlam dedic, cujus quidem pars magna cradi cicius non poruit,
uc quae a provolicione proxime praecedence dependeat, (adeodi
verbi gracia, leries primanorum indifferenter delignari, per L.
2, 3, _C. Vel Per O, 5, 2, EC. nam terminus primus o reliquo. un
quancicati nihil addic. Ec quidem ego jam olim urroq: modo
demmara mea ordinareram, un uc alcerutram demonstrationi
bus nostris lufficeret, quapropeer lectorem urroq: oncrandum
non cenluis praelertim cum cgo Series Entinicas maxime specta-
bam, tinicis rix alicer quam lemmacum instar ad intinicorum
cheoremaca ulus.
Ac incerim figurae circumleriprae, E res accuratius perpenda-
cur, non magis coneruune hruris illis quibus circumscribuntur,
quam inscripeae: Nam rerbi gracia, inCcripca cum expolita
congruit alcicudine de vercicis lacicudine, sed quoad balin (hoc
elt lacicudinem in imo) differe: eadem inlcripra uno intra balin
gradu concinuaca (rel circum Ceripea sic concinuara lupra ver-
ticem) conrenit exPOIIEX quoad balin _ vercicis lacicudinem
Ced quond alcicudinem differt; circum (eripta vero Cnon con-
tinuaca) conrenic quidem exposiex quond balin e alcitudi-
nem, Ced non quond lacicudinem vercicis, quippe in alcera est
a in altera 1.
ot