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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 539, page id 867984570:0567
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.82
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ett
C TI
S IO GIR CVL L
rps Enartov aeq x de doge a pO FX E rpYi
V8. ONEE aroNOV.
ESC o nixNO, a duvaror, EnaricoV +S
7p17C0r8. La es eteacoror ne
rerpinodcour at e Depca dixa: nai ix Bcvoret
Epanoduai 24   ps aean
ea p n op  D pP E51 peciC cor Ag  E
Pa ion E5t. Kat ∞ POX Teecoror epo. 28 oC a p
PROPOSFTTO I.
Duitibet Circulas, aequalis est, Trianeulo Rect.
aneulo; cujus, cirea aneulum rectum, recta-
rum alteri, aequalis sit Circuli Semidiame
trus; alteri, ejusdem Ambitus.
TRCDLOS AB7S, (F18, Z, 2.) Ha-
a
DCAE uE supponituT. Dico, A qua-
lem cum este FrianguloE.
Elto enim Circulus, E tieri potelt,
eo Major. Lc inscribatur a y Juadracum:
Arcusque consinue bitariam lecentur; (caete-
rague ut in Schemate:) Cincque tandem, Se
menca, Fxceltu quo Circulus Friangulum (u-
perar, Minora. Inscriptum itaque Rectilineum,
Friangulo adhue Majus erit. Sumatur Cen-
trum r, acque hinc ad latus perpendicularis rE.
Minor icaque est re, altero illorum laterum
Trianguli. F Aque reliquo minor, Ambitus Re.
etilinei; ue qui ambitu Circuli minor est, (sic-
uE rE minor Semidiametro.) EE Propterea,
Rectilincum illud, Triangulo E, Minus elt.
Duod est absurdum.
Fcto deinde Circulus, Si feri potest, Minor
Frianculo E. Eique Circumseribatur Ouadra-
tum: Arcusque continue bitariam secencur:
perque sectionum puncta ducantur rectae Con-
tingentes: (caeteraque ut in Schemate.) Rectus
itaque est Angulus oap ideoque op major
es quam up. (aequalis enim est eu ipli pa) adeo-
que pon criangulum, cst figura osa p plusquam
dimidium. Fx relinquantur candem Porriones,
qualis r ea Minores Lxcestu quo Triangulum i
Tuperat a B7S Circulum. Rectilineum itaque
Circumseriptum, Minus adhue est Priangulos
Cor ct n eti va ion 55i En xaDErc FX TPL 50 Quod est absurdum. F. R enim eodem Majus: eo
quod ra, aequalis sic Frianguli Catheto; ejus.
que Bale, Major sic circumscripti Ambitus.
Aqualis itaque eAt Circulus Priangulo..
PROP.
M. F
opdorcorico, 
nas nond O ious esi ycorc
 adi en  verrsS ion praY
ei rid opdur.
 ceiuers 6) B rn Noirn.
XEFS o a BY d XONN O 1d5 L2
Xcrq. Aerco, dn 1oos E51 EpIYcorce
Et d duvaror, 15C0 petZ cor d nnNOS.
Kad ergoge a pDc x ay reeaycorer  n
Dcoour ai E. Déperat diXa X c e5 cor ru run
para non eraorora F LsepoxHS, n coepext a
NoXA (O ∞ EpeyirS X ei duzeauor aeq en rB
rpercors Est pci or. FiNn Pbco NerEpOr X V, _ na
deros n ves Enacr aeq n rE  rS rpopco
Tondes Es rgi n cEipErp O rS codoge au
 XS ExaNcr, EXEI X D YS NKNS EE
QuaS ON ESir i X iperoV. AEN e DBco
oi TW X C,  SoplCIS OOtOI, ENaDSS Y LAEpO-
245, n LEPEXa X E reycaror rS aBy
XUXNS. FS apa Y Welseze aprduor eodone ape
peor Ert Y8E EMaNor. O a ostot. st h 
58 rp17 cor8.
reors i de ceiperp  pe cor est d Baorcoe
1005 apa o nind O FEs C rpeycorco.
a FdIL. Bal. exdaxil.   11. Baur.  B. tb. a B. dtnt p el  llatibus cexone qipara.
E Sup-