Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
LX PROLEGOMENA. lemiua II, 7 hanc formam breuiorem uerborum p. 292, 27 sgtiv aga — p. 294, 10 ymviai significat: xal mg x6 vno XEJ ngog TO dnb Er, t6 vno MK& ngog t6 dno KH' ofioiov aqa xb H@K XQLyoavov xa FJE', boc enim ex lemm. II, 7 sequitur. et ita lemm. II, 7— 8 cum additamento*) p. 940, 4—5 usurpantur I p. 300, 19; 304, 17, ubi iniuria Pappi lemma IX citaui, sicut me monuit Zeuthen. uerba II, 52 p. 306, 21 ovk aga — 22 ZEK^ quae p. 307 not. iam alia de cau&a damnaui, subditiua esse argnuntur etiam per lemma Pappi 11, 12, quod ueram causam indicat, cur non sit BE^ : ET^ = EK^ : KZ\ propter lemma III, 5 p. 946, 20—22 in III, 24 delenda et p. 370, 24 To5 vnb A&Z xovxsgxv et p. 372, 8 xovxegxl — 11 KlSl@, quippe quae demonstrationem post lemma inutilem praebeant. eadem de causa in III, 27 uerba p. 380, 7 xat inel — 15 BE propter lemma III, 6 superuacua sunt et ut interpolata damnanda. per lemmata III, 8, 9, 10 quattuor interpolationes prorsus inter se similes arguuntur, in III, 30 p. 388, 6 17 uQa — 7 JZ propter lemm. IIJ, 8, in III, 31 p. 390, 11 rj ccQa — 13 t6 E, III, 33 p. 394, 19 sv&SLa aQa — 20 propter lemm. 111, 9, in III, 32 p. 392, 10 dLxa — 12 z/Z propter III, 10. denique per lemma III, 12 p. 952, 3—6 ex KZ x ZA = AZ^ concluditur (nam AZ = ZB) AKx KB = KAx KZ siue BK : KZ = AK : KA; itaque delenda III, 42 uerba interposita p. 418, 18 mg rj KZ — p. 420, 2 SlsXovxl. et demonstratio propositionis II f, 42 omnino mutata esse uidetur; suspicor enim, lemmata Pappi III, 11—12, quae Halleius I p. 201 ad III, 35—40 referre uidetur, huc pertinuisse, quamquam, ut nunc est, neque hic neque alibi in nostro Apollonio locum habent. nam hoc quoque statuendum, si lemmatis Pappi nunc locus non sit, eum aliam formam demonstrationum ob oculos habuisse. uelut lemma I, 9, quod Zeuthenius ad demonstrandum A HBzi = rJE I, 60 p. 152, 6 usurpatum esse putat, neque in de- *) Quod mioime cum Hultschio interpolatori tribuendum; potius delenda p. 942, 1— 4, quae mire post propositiones conuersas adduntur et idem contendunt, quod p. 940, 4—6 suo loco dicitur.
PROLEGOMENA. LXI monstratione recepta neque in ea, quam seruauit Eutocius, continuo inseri potest. lemma II, 9—10 auctore Zeutlieoio in analysi ampliore propositionis II, 51 locum habere potuit, ut nunc est, non babet; et re uera analyses ampliores olim exstitisse, eo confirmatur, quod eodem auctore lemma II, 13, cuius nunc usus nullus est, in analysi propositionis II, 53 utile esse potuit. praeterea suspicor, lemma II, 11 in analysi propositionis II, 50 olim usurpatum fuisse; nunc inutile est, sed per propositionem conuersam in II, 50 demonstratur [_ FJE = ZH@; quare I p. 296, 17 ag rj — 20 soxt, 8s kcxl delenda sunt, et pro p. 296, 23 yiocl di' l'aov — p. 298, 1 avnXoyov fuisse uidetur ofiotov uqcc to T^X TQtycovov rm Z HK; ita enim hoc lemma conuersum usurpatur II, 53 p. 316, 15 et similiter membro intermedio omisso II, 52 p. 310, 14. denique lemmata II, 1 et III, 2 nunc usui non sunt; de illo ne suspicari quidem possumus, cuius propositionis causa propositum sit, hoc uero et in III, 13 et in III, 15 forma demonstrationis paullum mutata utile esse potuit. haec habui, quae de usu lemmatum Pappianorum ad pristinam formam Conicorum restituendam dicerem, pauca sane et imperfecta; ueque uero dubito, quin alii hac uia progressi multa haud improbabilia inuenire possint; mihi satis est rem digito monstrasse. cetera, quae Pappus ex Conicis citat, pauca sunt et aut neglegenter transscripta, ut p. 922, 19 kuI icp' eyiccTSQcc s-n^XrjQ"^ (ita codex A, sed p. 922, 27 TtQoasyi^s^Xriod^G)) = Apoll. I p. 6, 4 i(p' sKcctSQcc nQoosK^Xrj&fj (fortasse Pappus pro iitL^svxQ-siocc p. 6, 4 habuit inilsvx^ri)^ aut incerti momenti, uelut quas p. 674, 22—676, 18, ubi praefationem libri I p. 4, 1—26 citat, scripturas habet discrepantes:*) ApoU. I p. 4, 2 tav ccvtLv.siftsVcor] tccg avtL-nsLfisvag Pappus (ita cod. A), p. 4, 4 kccl^ om., i^SLQyccG^svccl i^rjtccofisvcc, p. 4, 6 to^dov'} tofiatv Hui tcov ccvtL- KSLfisvmv, 10 naQado^oc &soaQr}picctcc'] navtoicc^ 12 TtXsLOta] nXsiova, y.dXXiota'] v.aXd, 13 ^sva, a jtat] xoct ^sva, 6vvsLdo(isv] svQOfisv, 15 to tvxov'] tL, 16 nQoosvQTj^svcov rjfiLv'] nQOSLQrjfjbsvoov, 19 avfi- §dXXovOL] Gv^nintovoL, w^^a] om., 21 rf] om., cvfi^dXXovGL] ovfi- §dXXsL xa/ dvtLnsCiisvaL dvtLKSLfiivaLg natd noaa ar}[iSLa avfi- *) Errores apertos codicis Pappi p. 676, 1, 4 omisi. memorabile est, iam Pappum pro naL p. 4, 9 cum nostris codd. rj habere.
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LX<br />
PROLEGOMENA.<br />
lemiua II, 7 hanc formam breuiorem uerborum p. 292, 27 sgtiv<br />
aga — p. 294, 10 ymviai significat: xal mg x6 vno XEJ ngog<br />
TO dnb Er, t6 vno MK& ngog t6 dno KH' ofioiov aqa xb<br />
H@K XQLyoavov xa FJE', boc enim ex lemm. II, 7 sequitur.<br />
et ita lemm. II, 7— 8 <strong>cum</strong> additamento*) p. 940, 4—5 usurpantur<br />
I p. 300, 19; 304, 17, ubi iniuria Pappi lemma IX citaui,<br />
sicut me monuit Zeuthen.<br />
uerba II, 52 p. 306, 21 ovk aga — 22 ZEK^ <strong>quae</strong> p. 307<br />
not. iam alia de cau&a damnaui, subditiua esse argnuntur<br />
etiam per lemma Pappi 11, 12, quod ueram causam indicat,<br />
cur non sit BE^ : ET^ = EK^ : KZ\<br />
propter lemma III, 5 p. 946, 20—22 in III, 24 delenda et<br />
p. 370, 24 To5 vnb A&Z xovxsgxv et p. 372, 8 xovxegxl — 11<br />
KlSl@, quippe <strong>quae</strong> demonstrationem post lemma inutilem<br />
praebeant.<br />
eadem de causa in III, 27 uerba p. 380, 7 xat inel — 15<br />
BE propter lemma III, 6 superuacua sunt et ut interpolata<br />
damnanda.<br />
per lemmata III, 8, 9, 10 quattuor interpolationes prorsus<br />
inter se similes arguuntur, in III, 30 p. 388, 6 17 uQa — 7<br />
JZ propter lemm. IIJ, 8, in III, 31 p. 390, 11 rj ccQa — 13<br />
t6 E, III, 33 p. 394, 19 sv&SLa aQa — 20 propter lemm.<br />
111, 9, in III, 32 p. 392, 10 dLxa — 12 z/Z propter III, 10.<br />
denique per lemma III, 12 p. 952, 3—6 ex KZ x ZA<br />
= AZ^ concluditur (nam AZ = ZB) AKx KB = KAx KZ<br />
siue BK : KZ = AK : KA; itaque delenda III, 42 uerba interposita<br />
p. 418, 18 mg rj KZ — p. 420, 2 SlsXovxl. et demonstratio<br />
propositionis II f, 42 omnino mutata esse uidetur; suspicor<br />
enim, lemmata Pappi III, 11—12, <strong>quae</strong> Halleius I p. 201<br />
ad III, 35—40 referre uidetur, huc pertinuisse, quamquam, ut<br />
nunc est, neque hic neque alibi in nostro Apollonio lo<strong>cum</strong><br />
habent.<br />
nam hoc quoque statuendum, si lemmatis Pappi nunc locus<br />
non sit, eum aliam formam demonstrationum ob oculos habuisse.<br />
uelut lemma I,<br />
9, quod Zeuthenius ad demonstrandum A HBzi<br />
= rJE I, 60 p. 152, 6 usurpatum esse putat, neque in de-<br />
*) Quod mioime <strong>cum</strong> Hultschio interpolatori tribuendum;<br />
potius delenda p. 942, 1— 4, <strong>quae</strong> mire post propositiones conuersas<br />
adduntur et idem contendunt, quod p. 940, 4—6 suo<br />
loco dicitur.
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