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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 219, page id 826603459:0265
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C AP. 24.
De Geodaesia.
circulis puta Sectoris DCF5 cadcr q: =C D in DF, peri-
mecritriencem, exhiber arcam criencis circuli, puca sectoris
DCF. Pt similicer de Sectoribus aliis, qui arcu quoris et re-
eis duabus in centro C cocuncibus cerminancur, judicandum
eric.
Sin menturandum esset sezmentum DE B, areu DF rea Seemento.
aaq: DBE comprehenlum. Coenica menturs Scctoris DC F, rum.
Einde auteracur area triansuli DF. C, quod rectat cM area (er.
menci minoris DEB. Acq: hoc quidem legmencum minis, s
ex incesro circulo auteratur, relinquer maioris lcgmenciaream
EFIB.
Denigi, Si alia quaecunq; circuli portio arcu ee rectis urcun-
que policis concenta, mensuranda proxonatur: id Het, Sectori,
Luper arcum illum consticuro, addendo vel auterendo criansu.
dum unum auc plura, prour res pottularerit. Puca Ei quod rectis
A.D, DC. CF, _ aECU FF continetur, menturandum sIC; Sectori
EC F, addendum erie criangulum F. D C. Ec similiter alibi.
Ouod aucem de circuli mencura jam dicicur, aue Pcomento.
rum, non ica incellectum relim, acti jam diu quaelicam circusi De C irculi
guadracuram hic doceam. Ucur enim Machematice verum (c, Guadratua-
arca Circuli parallelosrammo quod lemidiametro e Pemicir-
cumterencia concinetur ae qualem esle, (quod ab Archimede de
monstracis convenic:) Racioramen Radii ad Perimetrum cir-
culi, ita uc uno cognito alcerum innotelcar, nondum reverta
est numeris explicabilis, ne quidem irrationalibus, (Fortasse
nec reperienda, de quo alibi a nobis Fusius dictum est, in nostra
Drithmerica Insinitorum:) neq: eciam Geomecrice Resula e cir.
cino extribenda, ouod cum Ce invenisse puc averinc. Postalios,
Tosephus Scalieer, Severinus Longomontanus. ee nuperrimie Thomas
Flobbes, immortales sibi inde linguli laudes deberi Commiantes,
mire hallucinaci sunc. Oux aurem vulso recepta est proporiio Rotio peri-
Seu racio perimetri circularis ad suam diamerrum, quaeq; a vera metri cireu
non mulcum abeR, cM cripla Sequiseprima, Cive vc 22 2d7, auc laris ad dia.
33 2d1; quod ab archimede jam olim demonstracum cA, metrum.
nempeminorem esse quam 3 Z, majorem vero quam 332.
estq; haec racio latis accuraca quae rulsaribus mensurarionibus
applicetur. Siquis aurem accurariorem quaerac, porerit ille a
Cndovico van Culen, W illebrordo Snellio, aliilg: qui rem illam cra-
ctarunc, Decere, vel smalic, luo calculo investisare, ut PrO
porcionem