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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 43, page id 826603459:0489
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DEDIC A
Eeracur (quipre jam in ca sola rerlamur aequatione quae lux
Ponic D deorlum Doni) 3 d, habeneur cocidem redices g.
 3d = DD. vuca, A Sincradices r, uc in exemploprimo,
+ = d N 105 = = d, + 28, un =d V 103  =d: erune cocidem
radiceo g, F = dV 105  32d, i 2d, m 3d Y1O3 = 3 =d.
A similirer in reliquis. Elbi incerim nocandum est, quod hac
lubductione heri poreA, ut quae fverac radix afFTMIAEIrA Cran-
seae in nesariram. Puca, quocies punctum D, cA intra 67, Ced
lupra D.)
Adeoque hujulee aquationis casus omnes Colvimus. Acque
eadem opere, hujumodi currae ope, mechodum omendimus a
quaciones cubicas, hujulce FORE OMeA r L MY = L.n.
Ceomerrice Colvendi. empe Cumpra diemerro d= AP
Y.m (cui ordinarim. applicaca siE Pa; accoque, Cumpra.
PF = = 3P A = V Em, Fa CaNSCNS,) _ AC = M
(deortum quidem A sie = n, TaETum verO A = R3) ducaIUE
per C recta, tangenti Pa parallela, occurrens curvae in pun-
ato (uno, aut pluribus, prour concigerit,) O; dueta ordinarim.
applicaca OD, decerminabit aequacionis radicem CD -= r; de
quidem, hiocemlus puncta: O plura sine, cocidem erune de pon-
cta D, adeoque Aquacionis coridem radices pollibiles; attirma-
cirae qua deorlum, negacirae quae lursum, cendunt.
Tandem, uc eorum aliquando absolramus negocium; Muo
niam jam facta cA mencio puncti B, aliorumque similium, in
curra Ba, cciam Curtum concinuanda; adeoque _ punctorum
diameeri quae his relpondeant: Libet _ eam rem aliguatenus
ineueri. Diximus jam Capra; s P a dexerortum (IC L P ejusmo-
di recta sinisteorlum erit = P; adeoque urilIus cubus t p. sC
hujus - P; e proprerea, E diametri sicus deortum, puca A P
dicatur T d Curlum eric d: adeo9; licet EiC d. d:: p. P ?. nOn
tamen (Cumpeis ordinacim applicaris in concrariam DATLEM)
d. d: : + p . = P3. Sca F d. - d: : +. p 2. = p. HOC eA, IICCESIE
ouond a inferius) AP. AA:: PRC. AaC, non camen (quoDd
Suvcrius) AP. AA:: PaC. ABC. Sed AP. i AA:: P aC.
A BC.
His autem consideraris; eadem methodo qua vE Sumus (mu-
cacis mucandis) ad proP. 47. Con. Sect. rem ad aequacionem
perdu-