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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 20, page id 73061350X:0028
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27. Daeorum duorum triansulorum super aequali
Deshrasibus aequealtorum, alcerum alteri consruenter
EFaMCMLLLALC.
Cal. I. Daris duobus contiguiseriangulis ABC _ ABD,
sIc ABD congruencer ip(i ABC. Transmurandum. DUCatUF
BE. Parallelasps Ca (sirebilececur AD in E, ducacurqueBF)
dillecerur criangulum BAD secundum iplam BE, rurtusque
concinnetur (componacur) ira, uc E. A ordinare congruacin
ED. Id quod inde oritur eriansulum, criangulo ABC. EOTuM
rocierie congruum.
C aC. 2. Daris coincidencibus criangulis BAC, DAB, (Ir
DAE criangulum eransmurandum. Bilectâ DC. in P, ducatuF
AF, _ lececur eriangulum D AE secundum AF. PorrOrrian
culu FAE Sectum secundum ip(am FC, COnGrUenTEFEraNS-
Formetur ipsi BAFrriangulo per cal. I. Denique DAFirrian-
Bulum sccundum sectionem FFLicidem per cal.I. congruen-
cerrranstormecur eriangulo FACi; Factumqi exirquod qua
XIEUT.
CaI. 3. Daris incer se hiantibus crian sulisBAC, DAF, HE.
DAEcranmucandum. Ex DB, interrallODE. relCCETUEDP,
icerum gi extiBeodem incerralloresecerur FC, donccC (vel
ulcerius relectionis punctum) cadarrel in iplum C, vel in-
ter C. Q B, C anstormeturque ADE triansutum congruencer
ipsi rriangulOAFD, _E AFDipR ACF. Denig; ulcimum ACF.
ip(i ABC. Factum q: erir quodimperarur.
NOca L. Commodiores bre vior est transmurario, sitrianeula
oversus eandem plagam nutent.
Noca 2. Si intra parallelas rectas AB, CD, interceptae recta LF,
ex puncto unius parallelarum Cr, parallela ducendasit; sumatur PFI
aequalis ipsFC. ducta CCF parallela erit ipst C. F perth. 14.
22. Datorum duorum superxqualibus balibus AB,
ED. aequealtorum parallelogranmorum, alterum
EFCHI, alECri ABCD COngruentExETanCmuTaTE.
Producancur oppotux balestiF, Coth, pex Fe H, uepZ
ralle