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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 549, page id 867984570:0577
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E. OMM E II L A A1LD8.
In THEORE M A. HII.
FN hoc Theoremace, continue jubemur, Da
L ii numeri Latus quadraricum invenire. I10C
autem, in Numero qui Guadratus non (IC, ac
curate tieri omnino non porelt. Nam, Nu-
merus, in seiplum mulciplicatus, numerum ali-
quem duaaratum facit: Atqui, Numerus cum
particula, in se ductus, absolucum Numerum
non facit, sed Numerum cum particula. Q10
autem pacto invenire oporteat Lacus, quod pos-
sit quam proxime datum numerum; ab FTerone
dictum elt, in Merricis: Dictum item est 
Pappo, e Theone, aliisque multis qui Maenam
Constructionem explicarunt Claudii Ptolemaeis
Adeoque nobis non crit necelte, ea de re porro
ingnirere. Postune urique ex illis, Machema-
cum Rudio, haec decerpere.
Sitque aneulus, yee terria pars recti.) Nem
De, si bilecto arcu Hexasoni, sumtoque ejus
semisse qui est ad 7, jungamus 52 rectam; exie
angulus y.E certia pars recti. Nam qui pun-
Eto r adjacet arcus, cum sic semilts areus Flexa-
soni, peripheriae pars est duodecima: adeoque
angulus rcE, cum ad Cenerum Cic, duode
cima pars c(L quatuOF rECtOrUM; ParS CrSO TeK
tia aniuS reCLI.
Recta ieitur c8 ad 8y eam rationem habet,
quam 306 ad 253.) Ouod dupla sc EE ipsius
6r, hunc liquet: Nempe, (i, recta 5y ad u con-
cinuata, tumtaque inde quae sit huic aequalis
rectam ab E jungamus; Constitmetur ad u an-
sulus, qui Tr recti duxe terrix: PI aurem d
angulus adc, recti duxe terrixe; irem, qui ad
8, duae certix. Prianguli itaque aequilateri
olemiltis, eltu zeE criangulum. FF, PrOPICT X
quilaceri balin, ipsi, cB. aequalem, bisectam in
y; dupla elt E6, iplVS 76.
Ft 3y ad yE, majorem rationem habet, quam
265 ad Z53.) POFca enim 28, 306; II in
adeoque hujus quadeacum, exit, 23400. Cium
isitur quadratum ipsius c8, quadraris ipsarum
E3 7E Timul aquetur: s ab ipSiuS EE quadra.
10 93636, auteramus quacratum 75, 23400:
relinguetur iplius 27 quadratum 7227: Ciu-
exigua particula et insensibilis. Ouadratum
enim iptius 265, 2 justo deticie, umicaribus 2.
Nulciplicationes rero Cubjiciuntur.
L ∞ F. OES PH M A.
pcda  dodErTOS a,  reEpaYC
virleo ndCaV ECV. T8. SsOCoS pdi ciper
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lio MEga Nlo Zura ZiV 8 KNaudhS LoNEaIS. Sd
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Dinoua Deon et Exevcor ava ner.
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c apcor opdur retror a eg o0 dy5.
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ion auF Drodevo. cvEco doro e e
ovsa doE) n XPOS ZES p Ycora,  dqorpor op D5.
Est de n i ApoS res E Ycoria, d diporpor d0ds
Est 3 n n poS ZC C d dipesipor. 100oneop8 e e 
EpIYCoIS u10D EsI X VEC. Kat 2)4 X 1 aD
+8 1007 NEvp8, ionv Soav En EE. dixib tpra na
a ∞ y dixnn es n c8 d YC
H de Cy Xpo5 YG. Cova Negor ext. n
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rns esas h, V VD. F NEt 8V ∞ do E8 1oor esi rois
diro ey Y8. car diro  dito E, ovroS u. Y X A5.
a DE) copd x diro y. vnupxor Z Y vD. Nara
Aet D0C) x diro EY, i PX C Cov XA pa N 110 jus radix quadratica ell 265, atque insuper
TeGYCVIKH, SEE C EM pIOPIOV EN CXISOV CC averaj
or NetE) id n 2 GEE duvapts, F aPI
Ear avra EP cavrai noMa Naorascop, qoer 205 se mulciplicemus, Fet 93636. F. Aque 78 153:
685, jusreo B. Oi de noan navrasuoi 
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guo duvardulus. _ B. xncivon. y B. _chox  )om. Z B. reira. a B. C i rvo. b B. coeds rd Y. c Malim en Dipdvoc.
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