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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 22, page id 73061350X:0030
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2.2
25. Datorum duorum inter sc egualium triangu.
IOTUM ABC, DEF, angulum unum, uni aequalemha-
vencium nimirum ipsum BAC, ipA FDF; alterum al
teri congruenrer transmutare.
15
SiE ETAN(I VEANdUI DEF. Construatur in angulO EDP
criangulum, triangulo BAC ordinare congruum HIDC, ret
ODEL, ica quiem, uc laceris lateriB Cconoruis cerminus in-
era F.DEcriangutum cadens sionetur C, alter extra cadens
sionerur II. Lacerum apici D oppolicorum rermini, ip(iD
Propiores connectantur, nimirum E ee C quidem in prio-
ribustribusmodis, Fec Creroin quarto mono, e hat eri-
anguliDEF lectio sccundum connectentem EC velFC. De-
nig; criangulum EFC lecerur coneruenter eriar oulo, luper
aqualibale aequealeoEIC, in cribusprioribus modis, rel
eriar. Sulo FFIC (iridem super aequalibalc aequealto,) in
quario modos cocumqi criansulum DEF consruenter
crenmurarum ericrrianguloCDHI, sirc ejus conoruoB IC.
Calus prior elcumeransmurandi trianguli latera, designato an-
dudo adjacentia inter se inaqualiora sunt: C alus Polterior cHt, cum
eadem aequaliora sunt, quam alterius triansuli latera angulo descenato
adjacentia, ueriusque aurem casus bini sunt modi.
26. Datorum duorum parallelorrammorum a
qualium ec aequiansulorum, nimirum BACD, PAFOI;
alterum alteri eongruenter transmutare.
Ducantur BF, icemque P. C, secans BD in LI, OF in P. erune
BEIF _BFICF Parallelogramma, Cuper equalibase BF aeque-
altaideogi perparres consrua. Porro FCil criangulum; or-
dinace conoruum exitrrianguloLIDC, e B AFipII BAF;
acqi hincparallelosramma lLFO, B ACD, per parces in
cerle conerua. Pacerisicur sectio d reconcinnatio.
NNOca. Si recta F TIL rota maneatinera plana parallelocramme
rum ABDC, AEC Fnihil opus est sectione BF. Ordinate enimcon-
o
ornumerit HIDC iPSIFGT, FCTipABHIF; AFIFIB verd sibiipsi.
C OrOII. 1. Dacum rectanculum obloneum in Duadratum trans
Mnare.
2. da