Euclid/Clavius? 1607

Euclid/Clavius? (1607), Elementorum Libri XV ​ECHO

(See also the Chinese translation of this text.)

Part of WO1. Sent with DESpecs version 1.1.2.

Sent: ok/date. Returned: ok, ​raw text.

1. First Analysis

Difficulties

• ​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 ​DESpecs_special_tables.pdf)

2. Questions From Formax

3. Analysis of the Result

Findings

Offset <pb> to ECHO is 132, e.g. <pb 468> corresponds to p.600 in ECHO.

• "toc" starting on p.21 typed as normal <p>s:

<p>1 SVPER data recta linea terminata triangu-
lum æquilaterum con$tituere.</p>
<p>2 AD datum punctum, datæ rectæ lineæ æqua-
lem rectam lineam ponere.</p>

• first numbered pages (starting with p.133):

<pb 1>
<fig>
<h>EVCLIDIS
ELEMENTVM
PRIMVM.</h>
<h it>DEFINITIONES.</h>
<h>I.</h>
<p>PVNCTVM e$t, cuius pars nulla e$t.</p>
<p it>TQTVS hic primus liber in eo po$itus est, vt nobis
tradat ortus proprietates{que} triangulorum, tum quod
ad eorum angulos $pectat, tum quod adlatera: quæ
...
<pb 2>
...
debet exi$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.</p>
<h>II.</h>
<p>LINEA verò, longitudo latitudinis expers.</p>
<p it>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 <fig> 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 <fig>.

• marginal notes: e.g. pb 468: two marginal notes, anchors were correctly marked (<mgl a>, <n a>). 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

First XML version is ​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 <h> lines in the XML (I didn't check books 7 to 16)
• latin propositiones: numbers on p.111
• chinese: taken from the <div> 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.