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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 540, page id 867984570:0568
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A R GIT I M E D TS
PROP. II.
Circulus, ad Diametri Duadratum, eam ratio. 35 O noud D, coeis X diro x Xauerps rer eYe
nem habet, quam 2Y ad 24, PIOxIe.
TTF circutus, cujus Diametrus a B (F15. 3.)
 eique circumscribatur y ns Ouadratum. Sit-
que rectae 7d (ipsi aB parallela) dupla, 5.:
liique 28, ejuldem yd pars seprima: caeteraque
vor, rezor ext. ov 10 0e5 1 d, 8e77150.
Z FS nin AO, s XapErP C i a β ne
Eirge aDc rerearCovY X Y yd. C +
Yd dconn n de ebdoor de n el r5 yd.
ut in Schemate. Cum itaque criangulum à y + 4 E Et 3V, ∞ a YE coe95 X a 7d. Nogor exu, ov
2d ays, rationem habeat quam 21 2d7; aF.
que, ad a53, rationem habeac ays quam 7
ad T: elt igitur ay 3 ad 475, ut 22 2d 7
EIt aucem, eju dem a s quadruplum, un Oua
dracum; (adeoque ay trianeulum ad un qua
aratum, ut 22 ad 28, seu LF ad 24;) iplum-
que ayC Friangulum, Circulo a B proxime
aequale; cum Carhecus ay, sc aequalis Semi
diametro; Balisque, perimetro Circuli proxime
n a coees E. Wees de x acl, ∞ ayd nego
éxt. or exta voegs er Y a y apa es 
a yd, C3V, io5 nβ coeds C. AMa, Z8 a Yd, X
EPaCONdOrOV E5I ∞ Y n FEE PaYCoVV. (K Y0 apa
aYC TeirCOVIVI WCGS X Yn XECgycoVOV, Nege
ExD, Ov n B co COS Xn, i ov 1 a e95 = d.) 70:
aYC rercorON, Tio a B NoXNCO, 100 es W énei
n adi a Y na deros ion est En ex FS verres 
aequalis; (quam esse demonstrabitur, Diametri Baors  Tn TB NKNS c EuETPCS ins ~ X) QE
rriplam sesquiseprimam proxime.) Cireulus iCa. 50 EpS n EpITONavicOV, X, 78 C Cyysa Lee XSo
que ad un Ouadracum Diametri, racionem ha- d xHoE). O NVHNOS SV, WoC95 ~ Y n ret CGY CovOV
bet, quam 11 ad 14 provime.
rezov CxA, OV 1 a 4505 1d, 2771560
0 Sup.
 Suppleo irgura. B B. dxtu. i Surpieo ueg. L Suppleo Fo eq AY E reinoror, . rd yn rereaironor, 2ozor itoto
XB ao C LM. n dn 14 ae 5 18. S   aoato n fores.   acorat te sitbitu.  SiB BC v7 g1Sa