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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 15, page id 73061350X:0023
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5. Obligui aguli BAD, BAC, Si deinceps sibiposiri fuerine
duobus rects limul Cupeis, ipsi simul lumpei aquales crur.
6. In omni eriansulo majorilaceri major an sulus, aequa-
libuslaceribus aequales anguli; ex concra majoribus agulis
majora lacera, ae qualibus ansulis aequalia larera, oppolica
Eunc. Niirum si ABmaius cM quari BC; criam BC. A. Major
erie, quam CAB e econcra; Si BA aequabicuriphiBC, criam
Bequabicur ip(IC ABe ccontrario:
7. Si recta urcungs ducta AB, duas inrer le parallelas CD,
EF incerlecetin punctis C_HI; binos quosei ansulosinter
se alternosequales tacic: nimirui COFL, e CIIF, iceni DOFI,
ec CitIE: ut de binosquosqi incus ec exrra invicem oppoti-
cosincer le aequales reddie: nimiru exeernuCeA, interno
FTIA; ITCIL CXEETRUI AGD, INCerNO AFIFS tUNI CtISM exTer-
AIII EFTB, incernODCB; _ externuNI PFIB, internO CGB.
8. Oux eidem Cuneparallelae, inter se lunc parallela.
9. Si criangulilacus aliquod AB producatur per termi-
num lireapicem B, in D; externus ansulus CBD; aquatur
duobusinternis sibinon conciguis, sumul sumprisnimi
rum ip(isCAB, e AC. B an Gulis.
to Omnes anguli cujusque criansuli (plani rectilinei)
simul supri, aequacur duob rectis (planis agulis rectilincis).
COrolI. Creoin unotrianculo non nisi unus rectus, ohcusus ve
ansulus existere potest.
IT. Rectarum ex eodem puncto in eandem rectam di-
ctarum brerissima estperpendicularis AD,
C11. Ed1
CorOII. Distantia itaque pucti A, a recta BC. est perpedicularis AD.
12, Omnes anguli (srecari sire conrexi) cujusqi plana
rectilince figure limul sumpri, ae quancur bistorrectis an
gulis, quoca ipla tisura eltincer rectilineas planas fguras.
Vel (quodeodem recidir) omnes ansuli cujusqi plana recti-
dincae fisure simul Cumpei ae quancur bis EOE, MInUS QuATUOT;
rectisansulis, quoransulorum iplatisura clt.
13. Cujusq: plana rectilinea fsura, meris caris angulis
cerminarae, laceribus singulis, pex singulos apices ordine
productisu