Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

FRAGMENTA. 125
deTtaTtXcov ^da, (3vy.(pcovcog totg vTtb ^ATtoXXcovCov xara
trjv ^sd^odov ev aQxfj ttov /3fc/3Atoi> TtQoysyQccii^svoig.
^7]
38. Pappus II, 3 p. 4, 9 sq. (cfr. fragm. 47):
'^AA' 6 di7tXd(3Log tov TtXrid^ovg tcov icp' cov tcc B
^stQ£L6d^c3 vTtb tstQccSog' ^stQov^svog ccQa Isii^sv
dvccda s^ dvccyKi^g' tovto yccQ TtQodsdstxtai.
39. Pappus II, 1 p. 2, 1 sq.:
* yccQ avtovg sXcc66ovag ^isv slvai sxatovtddog,
^stQstGd-ai ds VTtb dsKadog, %al dsov s6tc3 tbv s^
avtSv 6tsQsbv siTtstv ^rj TtoXXaTtXaGidoavta avtovg.
40. Pappus II, 2 p. 2, 14 sq.:
"E0tGi6av drj Ttdktv o^OLdrjTtotovv aQid-^ol scp' (hv
td B, cov £xa6tog sXdeacjv ^sv xi^Xtddog, ^stQscCd^co
ds vTtb sKatovtddog, nal dsov sCtcD tbv s^ avtcov
CtsQsbv siitstv ^Tj 7tolXa7tla(5id0avta tovg aQcd^^ovg.
E Pappo p. 4, 3 sq. ad demonstrationem Apollonii
haec pertinent: dsLKvvtat ovv dtd t(Dv yQa^^cov ....
6 did tKtv s(p' cov td B atSQsbg l'6og ... ta dtd tcov
sxatovtddcov 6tSQS(p s%l tbv s% tcov jtvd^^svcov ats-
Qsov. Hoc si duplicatam multitudinem numerorum B
metitur numerus 4, sin minus (cfr. fragm. 38), c ^td
t^v scp' (hv td B fiVQLadsg slgIv q o^covv^ol tw Z
exemplum numeri ingentis productum litterarum eius pro numeralibus
sumptarum indicasse. deinde methodum, qua tanti
numeri computari possint, exposuit. in qua enarranda Pappus
propositiones ipsas excerpsit et per numeros confirmauit; demonstrationes
ipsius Apollonii, quae in lineis factae erant, h. e.
uniuersaliter , sicut in Elem. VII— IX, omisit. hinc adparet,
quid in opere Apollonii e commentariis Pappi restituendo secutus
sim. cfr. Tannery Memoires de la soc. des sciences
physiques et natur. de Bordeaux, 2® s^r. III p. 352 sq.