Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
B 188 COMMENTARIA ANTIQUA. TQOV t6 P, xal 6rj^et6v xl ^eT^coQOv t6 ^, xal im- ^evx&etaa rj z/5 expepirjad-co elg aiteiQOV fqp' exdteQa ^eQf} (og enl xa E, Z. eav drj ^evovrog tov ^ 7] zJ (peQYitaL^ ecog av tb B eve%%^ev xatcc tfjg rot) y4B 5 TCvxXov TteQLfpeQeCag eTtl tb avtb tcccXlv dTtoxataOtad-y, o&ev 7]Q^ato cpeQeG&aL, yevvTjCeL eiticpdveLdv tLva, TjtLg 0vy%eLxaL e% 8vo ijtLipaveLcov djtto^evcov dklrikcov xatd tb z/, tjv Tcal KaXet kcovikt^v eTtLcpdveLav. (pricl de, oxL xal elg ccTteLQOv av^etat dLa tb xal trjv 10 yQd(pov0av avttjv evd^etav olov tr^v ^B eig diteLQOV eycpdXXeod-aL. xoQvcpriv de trjg eTtLCpaveCag XeyeL xb z/, d^ova de xrjv z/F. iccovov de keyeL xb TteQLexofievov
EUTOCII COMMENTARIA IN CONICA. 189 ( centrum sit rj et punctum aliquod sublime ^d, ductaque z/5 in infinitum producatur in utramque partem ut ad Ey Z. si igitur manente A mouebitur ^JB, donec 5 per ambitum circuli AB circumactum rursus ad eundem locum perueniat, unde moueri coeptum est, superficiem quandam efficiet, quae ex duabus superficiebus inter se in z/ tangentibus composita est, quam superficiem conicam uocat. dicit autem [I p. 6, 9 sq.], eam in infinitum crescere, quod recta eam describens ut z/J5 in infinitum producatur. uerticem autem superficiei punctum z/ uocat et axem z/F [I p. 6, 11 sq.]. conum autem uocat [I p. 6, 14 sq.] figuram comprehensam circulo ^jB et superficie, quam describit recta z/5 sola, uerticem autem coni z/, axem autem z/F, basim autem circulum AB, et si AV ad circulum AB perpendicularis est, conum rectum uocat [I p. 6, 20 sq.], sin perpendicularis non est, obliquum; obliquus autem conus orietur, si sumpto circulo a centro rectam erexerimus ad planum circuli non perpendicularem, et a puncto sublimi rectae erectae ad circulum rectam duxerimus ductamque rectam per circulum circumegerimus manente eo puncto, quod ad punctum sublime rectae erectae positum est; nam figura ita comprebensa conus erit obliquus.
- Page 230 and 231: 138 FRAGMENTA. XBVtQOv avtov tr^v t
- Page 233: I COMMENTARIA ANTIQUA.
- Page 236 and 237: 144 COMMENTARIA ANTIQUA. [Eucl. III
- Page 238 and 239: 146 COMMENTARIA ANTIQUA. xal 6xaXr}
- Page 240 and 241: 2. ccficporEQcc] Bv.dxsQOv Hultsch.
- Page 242 and 243: 8. gTTfl ovv Uarj coni. HultscTi. 2
- Page 244 and 245: 152 COMMENTARIA ANTIQUA. lilv 7] JH
- Page 246 and 247: I 1—I 1 1 1 154 COMMENTARIA ANTIQ
- Page 248 and 249: 156 COMMENTARIA ANTIQUA. 7j\ ^Lcc 1
- Page 250 and 251: 158 COMMENTAEIA ANTIQUA. v.a\ oyioi
- Page 252 and 253: 160 COMMENTARIA ANTIQUA. p\ "E6t(o
- Page 254 and 255: I 1 ; 1 1 1 I 1 1 1 162 COMMENTARIA
- Page 256 and 257: I 1 1 1 1 I 1 1 1 1 164 COMMENTARIA
- Page 258 and 259: II. SEEENUS. Serenus de sectione cy
- Page 260 and 261: IV. EUTOCII COMMENTAKIA IN CONICA.
- Page 262 and 263: 170 COMMENTARIA ANTlQUA. ^sv ra oQ%
- Page 264 and 265: 172 COMMENTARIA ANTIQUA. ABF, xal ^
- Page 266 and 267: 174 COMMENTARIA ANTIQUA. BAF, 6vo O
- Page 268 and 269: 176 COMMENTARIA ANTIQUA. 7j EZ TCcc
- Page 270 and 271: 178 COMMENTARIA ANTIQUA. ra TtaQcc
- Page 272 and 273: 180 COMMENTARIA ANTIQUA. dydyrjg et
- Page 274 and 275: 182 COMMENTARIA ANTIQUA. H tdav AX^
- Page 276 and 277: 184 COMMENTARIA ANTIQUA. 7t8Qi(p8Q
- Page 278 and 279: 186 COMMENTARIA ANTIQUA. fi£^(psra
- Page 282 and 283: 190 COxMMENTARIA ANTIQUA. dijXov de
- Page 284 and 285: A 192 COMMENTARIA ANTIQUA. ^ BE, Xo
- Page 286 and 287: 194 COMMENTARIA ANTIQUA. rfi vjtb H
- Page 288 and 289: 196 COMMENTARIA ANTIQUA. aQU trig A
- Page 290 and 291: A 198 COMMENTARIA ANTIQUA. i
- Page 292 and 293: 200 COMMENTARIA ANTIQUA. tijg atpai
- Page 294 and 295: . 202 COMMENTARTA ANTIQUA. dixcc ri
- Page 296 and 297: 204 COMMENTARIA ANTIQUA. QV(p7iv el
- Page 298 and 299: 4. taoayisXr^ W. 8. oQ&ds] inter q
- Page 300 and 301: 208 COMMENTARIA ANTIQUA. ixatSQa rc
- Page 302 and 303: 210 COMMENTARIA ANTIQUA. vTCo HZK l
- Page 304 and 305: 212 COMMENTARIA ANTIQUA. olrj tj HK
- Page 306 and 307: 214 COMMENTARIA ANTIQUA. Eiq rb T6
- Page 308 and 309: . 216 COMMENTARIA ANTIQUA. triv yiC
- Page 310 and 311: 218 COMMENTARIA ANTIQUA. T6 de djto
- Page 312 and 313: 220 COMMENTARIA ANTIQUA. li](pd^(o
- Page 314 and 315: 222 COMMENTARIA ANTIQUA. Elg ro ly'
- Page 316 and 317: 224 COMMENTARIA ANTIQUA. Eig t6 ts'
- Page 318 and 319: 226 COMMENTARIA ANTIQUA. ayoiievai
- Page 320 and 321: 228 COMMENTAKIA ANTIQUA. dvvatov 8\
- Page 322 and 323: 230 COMMENTARIA ANTIQUA. TtQog OQd^
- Page 324 and 325: 232 COMMENTAEIA ANTIQUA. vLXcc yQa(
- Page 326 and 327: 234 COMMENTARIA ANTIQUA. q)0[isv vT
- Page 328 and 329: 236 COMMENTARIA ANTIQUA. Tov KTtb
B<br />
188 COMMENTARIA ANTIQUA.<br />
TQOV t6 P, xal 6rj^et6v xl ^eT^coQOv t6 ^, xal im-<br />
^evx&etaa rj z/5 expepirjad-co elg aiteiQOV fqp' exdteQa<br />
^eQf} (og enl xa E, Z. eav drj ^evovrog tov ^ 7] zJ<br />
(peQYitaL^ ecog av tb B eve%%^ev xatcc tfjg rot) y4B<br />
5 TCvxXov TteQLfpeQeCag eTtl tb avtb tcccXlv dTtoxataOtad-y,<br />
o&ev 7]Q^ato cpeQeG&aL, yevvTjCeL eiticpdveLdv tLva,<br />
TjtLg 0vy%eLxaL e% 8vo ijtLipaveLcov djtto^evcov dklrikcov<br />
xatd tb z/, tjv Tcal KaXet kcovikt^v eTtLcpdveLav.<br />
(pricl de, oxL xal elg ccTteLQOv av^etat dLa tb xal trjv<br />
10 yQd(pov0av avttjv evd^etav olov tr^v ^B eig diteLQOV<br />
eycpdXXeod-aL. xoQvcpriv de trjg eTtLCpaveCag XeyeL xb z/,<br />
d^ova de xrjv<br />
z/F.<br />
iccovov de keyeL xb TteQLexofievov
Change language