= Euclid / Clavius 1607 = !Euclid/Clavius (1607), Elementorum Libri XV [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?mode=imagepath&url=/mpiwg/online/permanent/library/2QTVUHDT/pageimg ECHO] (See also the [wiki:WO3_Euclid_1966 Chinese translation] of this text.) Part of [wiki:WO1]. Sent with DESpecs version 1.1.2. Sent: ok/date. Returned: ok, [http://pythia.mpiwg-berlin.mpg.de/department1/mpdl/raw-texts/WO1_Euclid_1607.txt/WO1_Euclid_1607_V1.txt raw text]. == 1. First Analysis == === Difficulties === * [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=5&mk=0.2874/0.0843&mode=imagepath&url=/mpiwg/online/permanent/library/2QTVUHDT/pageimg text in red]: there is a rule for red text in version 1.1.2 * additional ligatures, e.g. _{$p}_: Will be added to version 1.2. For now, we will just see what happens. * Tables === Special Instructions === * Examples of structures that should be typed as tables or as normal text; three examples from p.506. (originally in [attachment:wiki:WO1:DESpecs_special_tables.pdf DESpecs_special_tables.pdf]) == 2. Questions From Formax == none? == 3. Analysis of the Result == === Findings === Offset to ECHO is 132, e.g. corresponds to p.600 in ECHO. * "toc" starting on p.21 typed as normal

s: {{{

1 SVPER data recta linea terminata triangu- lum æquilaterum con$tituere.

2 AD datum punctum, datæ rectæ lineæ æqua- lem rectam lineam ponere.

}}} * first numbered pages (starting with p.133): {{{ EVCLIDIS ELEMENTVM PRIMVM. DEFINITIONES. I.

PVNCTVM e$t, cuius pars nulla e$t.

TQTVS hic primus liber in eo po$itus est, vt nobis tradat ortus proprietates{que} triangulorum, tum quod ad eorum angulos $pectat, tum quod adlatera: quæ ... ... debet exi$timari. Denique in magnitudine id concipi debet e$$e pun- ctum, quod in numero vnitas, quodque intempore in$tans. Sunt e- nim & hæc concipienda indiuidua.

II.

LINEA verò, longitudo latitudinis expers.

DEFINIT bîc lineam, primam $peciem magnitudinis, quam ... }}} * heading levels 1. EVCLIDIS ELEMENTVM PRIMVM. 2. DEFINITIONES. 3. I. * Euclid in upright shape, comments in italics. * figures: Only because the Specs didn't say more about the marking of figures, but correctly marked. * tables: in the comments, e.g. pb 35, pb 359, pb 374 (= p.506 in the Special Instructions), all ok, not very often. Table on pb 468 marked as . * marginal notes: e.g. pb 468: two marginal notes, anchors were correctly marked (, ). Italics was not explicitly marked again. * Greek seems to work: p.9 {{{ auditorio $uo admi$it, vt talia etiam, {οὐ}δεὶς, $cilicet, ἀγεωμέτρητ<010>εἰσίτω, eidem non }}} === Recommendation === == 4. Post-Processing == Most recent XML version is [http://pythia.mpiwg-berlin.mpg.de/department1/mpdl/xml/Euclid_1607.xml/Euclid_1607_V4.xml here]. === Additional Analysis === pp.21-59: Index of all Euclid propositions. Some entries are in italics; these are the "propositiones verò additæ", see below. pp.60-111: Index of all pseudo-Euclid theorems, with numbers that are not repeated in the main text p.111: some explanatory notes: * ITAQVE in Codicibus Græcis habentur in primo libro propoſitiones 48: In ſecundo, 14: In tertio, 37: in quarto, 16: In quinto, 25: In ſexto, 33: In ſeptimo, 41: In ectauo, 27: In nono, 36: In decimo, 117: In vndecimo, 40: In duodecimo, 18: In tertiodecimo, 18: In quartodecimo, 11: In quintodecimo, 5: Atque in vniuerſum, 486. * PROPOSITIONES verò additæ, in quinto libro, 9: In quartodecimo, 21: In quintodecimo, 16: In ſextodecimo, 31: Atque omnes numero, 77. * IN ſcholiis denique, & corollariis demonſtrantur propoſitiones in primo libro, 108: In ſecundo, 21: In tertio, 54: In quarto, 23: In quinto, 26: In ſexto, 99: In ſeptimo, 33: In octauo, 37: In nono, 40: In decimo, 67: In vndecimo, 25: In duodecimo, 28: In tertiodecimo, 33: In quartodecimo, 27: In quintodecimo, 21: In ſextodecimo, 29. Quæ omnes conficiunt numerum 671. * IN vniuerſum ergo 1234. propoſitiones in noſtro Euclide demonſtrantur. || Book || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || (16) || sum || || || || || || || || || || || || || || || || || || || || || definitiones || 36 || 2 || 10 || 7 || 19 || 6 || || || || || || || || || || || || || petitiones / postulata || 4 || || || || || || || || || || || || || || || || || || notiones / axiomata || 20 || || || || || || || || || || || || || || || || || || propositiones in Codicibus Græcis || 48 || 14 || 37 || 16 || 25 || 33 || 41 || 27 || 36 || 117 || 40 || 18 || 18 || 11 || 5 || || 486 || || propositiones verò additæ || || || || || 9 || || || || || || || || || 21 || 16 || 31 || 77 || || propositiones in ſcholiis & corollariis || 108 || 21 || 54 || 23 || 26 || 99 || 33 || 37 || 40 || 67 || 25 || 28 || 33 || 27 || 21 || 29 || 671 || || || || || || || || || || || || || || || || || || || 1234 || || || || || || || || || || || || || || || || || || || || || definitions || 36 || 2 || 10 || 7 || 19 || 6 || || || || || || || || || || || || || constructions || 4 || || || || || || || || || || || || || || || || || || axioms || 19 || || || || || || || || || || || || || || || || || || problems || 48 || 14 || 37 || 16 || 34 || 33 || || || || || || || || || || || || Sources for this table: * latin definitiones, petitiones, notiones: taken from the lines in the XML (I didn't check books 7 to 16) * latin propositiones: numbers on p.111 * chinese: taken from the

lines in the XML p.167: a list of abbreviations in the marginal notes: || I. def. || Prima definitio. & $ie deal{ij}s numer{is}, vt \\ 4. def. 23. def. &c. || || 1. pet. || Prima petitio, vel primum Po$tulatum, || || 1. Pron. || Primum pronunciatum, $eu axioma, & \\ ita de reliquis numeris, vt priùs. || || 1. primi, || Prima propo$itio primi libri. || || 23. Vndec. || Vige$imatertia propo$itio vndecimi libr@ || || 6. tert{ij}d. || Sexta tert{ij}decimi libri. || || 9. $extid. || Nona $extidecimi libri. || || 13. duod. || Decimatertia libri duodecim@ || || 7. quind. || Septima libri quindecimi. || || 5. quartid. || Quinta libri quartidecimi, &c. ||