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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 38, page id 73061350X:0046
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ec ver consequensse nec ran gune, nec lccant. ) Dictantia
dutem earum eltlesmencum rectae, e communi centroe
sucta inter peripherias incerceptum.
5. Si duo circuli ABC, ADF. Ce cangant in A; centra con
rum F, EcC, ec concactus punctua in una cademqi rectae
runenimirum in AEO: ec conera.
COxOII. Frinc patet, quomodo circa datum centrum describatur
peripheria, qua datam peripheriam tangat.
6. Si dux peripherix lelecent, recta carum centra con-
nectens AB, perpendicularirer bilecat rectam, quae carum
sectiones connecticine.
7. Inlcripra quo à ceneroremotior, ed minor.
8. Peripheriam cansens, perpendicularis est in diame
erum, per cactum ductam.
9. Recta Cpuncto a exera circulum lico peripheriam in-
Siltens, liconrexam inlictar, edmajor elt, quon centrore
morior; es concra: li caram insiltar, eomajor, quo cenero
propior, et concra. Uerobiq; aurex qualeslunt, quae aqua-
LITeT A CENEIO reMOEE.
20. Ansulus e peripheria arcum insistens BDC, dimidi
eltanguliBa Ccundemarcum e cencro insiltenris.
IF. Ansuli quorquoc e peripheria eundem arcum ALIB
(relaequales ejuldem, rel. aequalium peripheriaruni arcus)
insiltunr, incer sc a quales TUnE. UE AC B, ADB, AFB, AFB.
Alirer. Anguliin congruis segmentis existentes, interse
2qualesFunF.
r2. Angulus e peripheria quo majorem arcum insiltie, eo
major elt. Semiperipheriam insistens, rectus elt, uEABC;
majoremarcum insiltens, obrulus est, ucDEFiminorem in-
Sistens, acuTus CH, UEDCF.
Aliter. Angulus quo in minori circuli segmento elt, eo
eu
maiores. In lemicirculo x. AC.
relcomero acurus est, uEDOF;iI
clt, uC ABC; in majo-
trino
ore obculeH, UEDPF.
13. Quoca pars, vel quora part, uadranris peripheria
est arenc, quem angulus ecenero insiltic; eadem aliquoca
PAYS3
guox parresunius recti est iple angulus, Gua-