On Nicomachus's Introduction to Arithmetic

PREFACE.

while it seems autón him/it P || 21, 25 schēmatízōntai they are formed/shaped P || 22, 26 6' ? P || 23, 5 kaì tò and the] katà tò according to the H || 23, 9 read: diplaî double/twofold || 24, 23. 25 V prefers tōi mèn to the one and tōi dè to the other || 25, 15 epì plátos in breadth? P || 26, 16 "one should write amphotérou of both and retain v. 17 aphistámenos standing apart" H || 27, 2 after mérous part add a comma || 28, 18 échein to have, if to anyone H || 28, 21 eàn <dè> if, however H || 29, 16 peirómenos trying/attempting Ciz. || 29, 25 read: katà according to || 30, 28 read: hamártēma error || 31, 3 that indeed (i.e., because however) perissoeidēs odd-formed it is potentially enoî in it H || 31, 9 "write epitatheìs <dià tò hoútō> intensified because of this, and the discourse proceeds correctly" H || 31, 21 <tōn> stoicheíōn elements H || 32, 11 syntetheîsi composed/put together H || 32, 21 read: elássona lesser || 34, 18 autòn it/him] prōton first V: P prefers < prōton first > téleion complete/perfect || 36, 20 [the] one P || 36, 24 dè but H || 39, 5 hypò by] apò from H || 43, 10 enṓphthē was seen H: enophthḗsetai it will be seen V || 45, 1 sq. eít’ — eít’ whether — or H || 46, 20 sym<baínei sym>phanē it happens to be visible or sym<baínei em>phanē it happens to be manifest V || 47, 4 hoúper of which H || 47, 9 "kat’ autòn ekeínōi according to him in that one is explained and defended, cf. v. 16" H || 47, 28 kath’ hò according to which] kathólou universally H || 51, 22 aplatōn without breadth] aplōn simple P || 51, 23 read: katholikón universal || 52, 18 one should write kath’ hò according to which as in 41, 19. 26. 43, 3. 47, 8 etc.: likewise, for epimoríou superparticular it seems one should read moríou part P || 53, 7 after íson equal delete comma || at 55, 2 read: hoí the before sùn with || 56, 4 mēkýnontas extending/lengthening] óntas being H || 57, 10 after posoû quantity add comma || 57, 12 proeleúsetai it will proceed correctly T: proeleúsētai it will proceed F || 57, 22 kaì oud’ and not even H: Festa intended the same || 58, 23 epísēmon distinguished mark/sign] s’ H: cf. the scholia || 58, 24 sq. hēper échei which it has] hē periéchei which it contains H || 60, 19 "the second kaì and is to be deleted, as is the first on p. 61, 27" H || 61, 21 in the notes delete the words possis you may and also v. 22 periorízei it limits || 61, 27 en arithmetikoîs in arithmetic matters, cf. p. 60, 1 P || 63, 3 chṓran place/space perhaps correctly T || 63, 7 sq. < en > in the H: V would have deleted the tōi epanthḗmati in the supplementary note/flowering || 63, 8 sq. merizómenoi being divided, metà... horismoû hólon tò leiphthèn with... the definition of the whole that was left H || 63, 15 eîta tríton eì ekeî treîs then third if there are three or eîta tríton antì triōn then third instead of three V || 64, 18 tríton third] g’ 3rd V || 64, 25 parà tòn d’ besides the 4th V || 65, 14 sq. V posits a gap after tò hḗmisy the half to be filled approximately by <prosnémō tōi prṓtōi tōn katà tàs syzygías arithmōn· kaì gàr pròs toùs loipoùs treîs tḕn sýngrisin> éxei I assign to the first of the numbers according to the pairs; for indeed it will have the comparison toward the remaining three cf. p. 68, 4—14 || 66, 6 the summary < tà > x’ 60 P: V commands that hátina which things (not kaì and v. 5) be deleted || 68, 6 read: hín’ in order that || 68, 17 < àn > if/should aphélōi I remove P || 69, 16 sq. katà tàs gōnías te kaì pleurás according to both the angles and the sides H (I myself had conjectured the same and rejected it with poor judgment) || 70, 10 hypèr autòn above it cf. v. 18 P || 70, 22 sq. parà tòn epì diagōníou keímenon autōi prōton trígōnon beside the first triangle lying on the diagonal to it H || 71, 1 the [potentially] units H: the [units] potentially V || 71, 13 read