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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 217, page id 826603459:0263
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eetat.
cim irregulattou, sela dener ticura mulcangula in TOE
Parallelogramma vel criangula quoc tigurae racio pottulac, de
prout calculo magis videbicur expedire; quod cujusqi pruden.
tix permiccendum erit.
Si verofigura mensuranda, quoccunqe demum, habuerie la Mensuratio
cera, Regularis sic; hoc ett, quae ium omnia larera invicem aegnalia, fieurae reet-
ium omnes anculos item aequales habeat: calculus lic commodelaris.
poceric insticui. Invenio ficurae regularis centro, (quod e circuli Cire
inCcripci Cire circum leripri cenerum est, uc ex principiis Creo.
merricis liquet, e a lingulis lareribus ae qualicer distane;) recta
aceniro in latus quodvis perpendicularis, si in semiperimetrum mulsiplice-
tur fieurae recularis aream exhibebit.
Exlempligracia Sic Sexangulum regulare (puta aequilare-
rum e aequiangulum) circulo inscripcum. A cCnErO C ad
lacus quodris DE agatur perpendicularis C B; haec ducta in
semillem perimetri sexanguli, vel hujus Cemiltis in perimecrum,
exhiber corius arcam. Nam, ductis cruribus CD, CF, Forma-
cur crianeulum CDE, cujus
area eA CBX = DE, vel ZCBX
DE, (uc ex calculo criangu.
li Superius cradico liguet.)
Icem, ductis inluper ab co-
dem centro C 2d reliquos
Texanguli angulos coridem
rectis, constiementur eoc cri-
ansula quoc lune heura la-
cera; eruncq; ea lingula crr-
anguloCDE. aequalia x (PFO- F per 4 C L.
Peer cum aequales rectas a
cenero, quipre quae sunc radtii circuli ambientis; cum aequales
icem rectas in ambicu tigurae, uc qua supponirur aequilacera:)
cocies icaq; reperer da eric praecedens menlurario, quor Tunc R-
sucae lacera, quia coc erunc criangula inricem aequalia; puca
CDE = CFF, Qc. figuram incesram complencia. Hoc est, in
expolica sigura Cexangulari, area crianguli C. D P Eexies reperi-
ca, exhibec rorius aream, puta 6C BX = DE vel ZC BX6DF
vel C Bx 3 DB; ductonempe =C. B lemisse perpendiculi, in pe-
rimeerum sDE; vel perpendiculari C B in Cemillem perimerri
3DdE. Aeque limilirer laciendum eris in alia quavis sixura
regulari
t
De Geodaesa.