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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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Ariitmetica Tastnitorum.
FE, _C. (isnempe quem locus ubi silticur postutaverie;) qui 2
Cmero inccero unde ouanceseis B delignacio inchoatur)
in prooresione. Acictmecica Binario continue crcleNnE. Re
similicer, i C, 121e: ex hic7, 9, F1, 23, ExC: R. C, in V, WNUS CX
illis 9, 21, 13, 25, _C. (quinempe illic a 5, hic a7, in Resite-
merica progressione concinm, binorio croleune:) P in sequenei
bus similicer: qued iple calculus indicatie.
Adcou; univertalicur; in cacum quenricarum quatitiet desix-
manca (quocunque candem loco sicue. Libue Ic,) pro denomi-
nacore alsimo lumendus erie numeri qui Fractionum locum de-
nominac duplus numero integro quae desenacicnem inchore
aretuB.
Si quis aurem guxrac, cur in hoc procectu (C in dencminatore
utrior designando) per Factorem posteriorem porius quam
priorem divitionem Faciamus: Rario cA, quia (ic res commo-
dius procedie. Nam nei jam denominarores illiab inchoanre
numero incesro srichmerice procedine crescendo; si per tacta
rem priorem herec diritio, denominacor silli ab in choanceno-
mero intepro rerroccderene decreleendo, donec randem perve-
niatur ad numeros nesaciros (qui delignacionem masis curba-
bunC.) uc experimenco Facto pacebic. Adeoq; ad illam lesem,
si C verbi gracia) delienanda sic quanciras F, dividendo  10-
100 per K, denominacores illi sic proceunces Facuri Cunc 9, 7.
3. 3, E, mo 2, _c. Si encem ad methodum priorem diricarue
212 = 544 Per C, FpriATeNE 13, 15, 17, 79, 22, 23, 23, C.
nempe a numero 2 illsc decrescendo, hic crelcendo: ubi au
tem hac mechodo cora quancicas procie jucta major, illa predi-
bic eciam juBd major, e conera. Unde eriam pacee, priorem
illem mechodum designandi ulcimum denominatorem non
modominus emrbacam. sed _ masis accuracum este, quore cM
vollerior. Cum enim excessus e defectus sic semper peneo uI-
cimam Fractionem (cujus nempe adjectione quancicas quxe pri
uerar iusta maior tc just a minor, auc concra, ) ubi denomi-
nacor cRmajor (eodem manence numeratore) Fractio minoe
eH, acteoq; sive excessus sive deFectus minor, quam si denomina-
corille tuissce major: adeoq; denominarorum illorum actump.
eio per concinuum auemencum minuic, ac qua per concinuum
decrementum aysec errorem. Ouod quicem coulq; verum cA,
uc ne quidem illa nostra emendatio, qux per concinuum deno-
mina-
Pre
292