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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
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b
COrcII. I. Decimam quintam peripheriae partem invenire:
2. Citius ee promptius in venitur eadem decima quinta pars peri
Pheriae. Est enim arcus interlatus decagoni es hexagoni interceptus.
Praterea eadem facilitate obtinebitur ericesima pars peripheriae; dif-
ferentia nempe arcus à latere hexaçoni BF subtensi, es areus à latere
pentaconico BD subtensi: nimirum arcus D F.
3. Peripheriam datamin 360 partes aequales, quae gradus vulso di
euntur, dividere.
Inventanimirum parsperipheriae zomas (perz Coroll.) hoc est: ar-
rus 12graduum bisecetur; es habebitur arcus e graduum: bisecetur
es hic, e habebitur arcus z oraduum. Denique arcus z praduum mecba-
nicees conjecturaliterintres partes aequales dividatur; e habebitur
arcus unius eradus.
Noca. Arcum dacum tritariam secare, est problematu
pra porentiam circuli. Hloc est, ex Ruclideis solis cribus po-
itularis construi non porelt; licurneqi hepragonum, neqi
CHMEABOMMIDE.
20. Omnibus poligoni rectilinei lateribus; tum
magnitudine, cum. Ordine datis, et diagonlis praeterca
ejustotidem; (quorlunt latera) minuscribus; cum ma.
onitudine, cum scu datis; poly sonum describere.
(Situ autem dantur diaxoni si designeneur apices; quos connectunt:
sivesi sienificetur; quos sincula angulos subtendant.)
Delincentur ordineeriangula, ex datis lareribus e diogo.
niis oriencia, secundum Scet. T. Probl.. 5. COroll: 2. 3. doncc
torum polrgonum compleatur: Prius aurem delineandi
Tuntangulis quibusproxime subrensae diagonii tunt dara:
Polterius illis quoru lubren (x diagomino lunedacx. Quod
Rrectilineum plus sic quam Cex. lacerum,. et datx diagonii
incproxima; porcio aliqua rectilinei leortim delineanda
eltucitireniatur diagoniusrei
_ complens. Deinde, huicleori
intisuram connectens
Elincata porrionicon.
grua tgurx sux cohiarens; porco aclcribenda.
COrOII. X. Eodem modo rectilineum describere licet, si quaedam
ejus lacera non sint data, sed eorum loco, tet diaeenis amplins.
NOFa.