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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 29, page id 73061350X:0037
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=37
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# Lines: 39 recognised, mean confidence 0.88
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du
2. si . a 
Cautio. Siverrexnon datur, led eligitur, commodius ett,
ursumacur punctum perimerris designacx basi AB non ni
his propinquum. Dud dictancius cnum fueric a ba(i AB, C0.
eriansulumcontruerur alcusi es conera quo propius il
duc cohoc deprestius, ec obliquius:
Noca obiter, per constructionem: Bujus problematis in veniri duo
eriangula, aequalia duobus vel trianeulis, vel quadrilateris: itemtri
ansulumes quadrilaterum criansuloes quadrilatero
37. Ad dacam terminatam rectam P. Fs en dato an
sulo D; Parallelogrammum dato rectilinco ABC X
guale applicare.
Modus. I. Dissecetur dacum tirpererigonune diaxoniis:
in merarrianoula A, B, C. ec dacaeterminaca etapplicetur
Paralleloerammum Eti CFL, aequalerriansulo a angulum
EtiC eequalem habensanguloD. Porrorerminata recte (FI
applicerur parallelogrammum HICIII aequalerriansuloB;
angulum FICK aequalem habens angulo datoD. Deniq; re
etae terminare IK applicetur Paralclogrammum IHL. N, X-
qualecriangulo C; angulum. IHF. aequalemr lrabens ansulo
D. COmponetur exomnibus constructis parallelogramnis
Parallelogrammum FFL MI; quod problemarilaristaeiet.
2 Mod. Construacur daco hypererisono ABC perpro-
xime an cecodentia problemaro unum aequale criangulum
L: Cliaequole paralleloorammum ad dacum cerminaram.
F indaco ansuloD axplicerur, quod (cK; critqi id, quod.
quETITUT..
C OroII. L. Dato enicunque rectilineo rectansulum aquale construere.
2. Duibusque duobus triangulis communicrasonio adjacentibus, t
nun paralleloerammum aequa le eàdem oper à déscribere
3- Dacum rectilincum mensur a quadrara metiri. Hoc aucem fit
applicatione ad terminatum diminurimensur assimpta mensurabi
lem. Duod si alterum latus pro vementis rectonguli assumpia mensura
non metiatur, rectaneulum oblongum supersuum, sul suverstuo hyper-
metri lateris, es cemmensurahili latere comprehensum, ad rectanen
sum ordinatius applisando reduritur. idque. vel per 18. probl. S. l. velper
dheor. 15. (. 20.
38. Datis: