Vitruvius
,
De architectura libri decem
,
1567
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of Notes
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 339
>
[Note]
Page: 37
[Note]
Page: 37
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 38
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 39
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 42
[Note]
Page: 42
[Note]
Page: 42
[Note]
Page: 42
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 339
>
page
|<
<
(91)
of 412
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div1
"
type
="
section
"
level
="
1
"
n
="
1
">
<
div
xml:id
="
echoid-div286
"
type
="
section
"
level
="
2
"
n
="
62
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8578
"
xml:space
="
preserve
">
<
pb
o
="
91
"
file
="
514.01.123
"
n
="
123
"
rhead
="
TERTIVS.
"/>
dans uocabitur. </
s
>
<
s
xml:id
="
echoid-s8579
"
xml:space
="
preserve
">Perfectum uero eum numerum dicunt, qui conſtat ex ſumma omanium ſuarum partìum, quem-
<
lb
/>
admodum ſenarius, cuius partes 1. </
s
>
<
s
xml:id
="
echoid-s8580
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8581
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s8582
"
xml:space
="
preserve
">quæ ſimul ſumptæ, ſenarium reddunt, pari ſorma. </
s
>
<
s
xml:id
="
echoid-s8583
"
xml:space
="
preserve
">28. </
s
>
<
s
xml:id
="
echoid-s8584
"
xml:space
="
preserve
">numerus
<
lb
/>
perfectus eſt; </
s
>
<
s
xml:id
="
echoid-s8585
"
xml:space
="
preserve
">nam eius partes ſunt 1. </
s
>
<
s
xml:id
="
echoid-s8586
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8587
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8588
"
xml:space
="
preserve
">7. </
s
>
<
s
xml:id
="
echoid-s8589
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s8590
"
xml:space
="
preserve
">quarum ſumma 28. </
s
>
<
s
xml:id
="
echoid-s8591
"
xml:space
="
preserve
">reddunt. </
s
>
<
s
xml:id
="
echoid-s8592
"
xml:space
="
preserve
">Sed poſtquam de.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s8593
"
xml:space
="
preserve
">numeris perfectis ſermo eſt inſtitus, dicam eorum ortus, uires, proprietatesq́;</
s
>
<
s
xml:id
="
echoid-s8594
"
xml:space
="
preserve
">. & </
s
>
<
s
xml:id
="
echoid-s8595
"
xml:space
="
preserve
">ad faciliorem intelligen-
<
lb
/>
tiam diffinitiones aliquas numer or um adducam. </
s
>
<
s
xml:id
="
echoid-s8596
"
xml:space
="
preserve
">Numeri quidam ſunt, qui pariter pares nominantur, quidam
<
lb
/>
uero, qui primi, & </
s
>
<
s
xml:id
="
echoid-s8597
"
xml:space
="
preserve
">incompoſiti dicuntur. </
s
>
<
s
xml:id
="
echoid-s8598
"
xml:space
="
preserve
">pariter pares numeri ſunt, qui cum eorum ſumma par ſit, uſque ad
<
lb
/>
unitatem in paria diuiduntur. </
s
>
<
s
xml:id
="
echoid-s8599
"
xml:space
="
preserve
">Exempligratia 64. </
s
>
<
s
xml:id
="
echoid-s8600
"
xml:space
="
preserve
">eſt numerus pariter par, & </
s
>
<
s
xml:id
="
echoid-s8601
"
xml:space
="
preserve
">ipſa ſmma 64. </
s
>
<
s
xml:id
="
echoid-s8602
"
xml:space
="
preserve
">par eſt, & </
s
>
<
s
xml:id
="
echoid-s8603
"
xml:space
="
preserve
">
<
lb
/>
eius prima partitio par eſt. </
s
>
<
s
xml:id
="
echoid-s8604
"
xml:space
="
preserve
">videlicet 32. </
s
>
<
s
xml:id
="
echoid-s8605
"
xml:space
="
preserve
">Cuius item diuiſio par eſt. </
s
>
<
s
xml:id
="
echoid-s8606
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s8607
"
xml:space
="
preserve
">enim eſt numerus par, dimidium
<
lb
/>
quoque 16. </
s
>
<
s
xml:id
="
echoid-s8608
"
xml:space
="
preserve
">par eſt, ut pote octo, patiter quoque octonarij dimidium par 4. </
s
>
<
s
xml:id
="
echoid-s8609
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8610
"
xml:space
="
preserve
">quaternarij duo, cuius di-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.123-01
"
xlink:href
="
note-514.01.123-01a
"
xml:space
="
preserve
">10</
note
>
midium unitas. </
s
>
<
s
xml:id
="
echoid-s8611
"
xml:space
="
preserve
">Ecce qua ratione ſexagintaquatuor est numerus pariter par. </
s
>
<
s
xml:id
="
echoid-s8612
"
xml:space
="
preserve
">Sed numeri primi, & </
s
>
<
s
xml:id
="
echoid-s8613
"
xml:space
="
preserve
">incompo-
<
lb
/>
ſiti ſunt, qui a ſola unitate numer antur, neque alium babent numerum, qui eos integre partiatur, cuiuſmodi
<
lb
/>
eſt ternarius numerus, quinarius item, & </
s
>
<
s
xml:id
="
echoid-s8614
"
xml:space
="
preserve
">ſeptenarius, & </
s
>
<
s
xml:id
="
echoid-s8615
"
xml:space
="
preserve
">buinſmodi. </
s
>
<
s
xml:id
="
echoid-s8616
"
xml:space
="
preserve
">His poſitis perfectorum productio ponen-
<
lb
/>
da eſt. </
s
>
<
s
xml:id
="
echoid-s8617
"
xml:space
="
preserve
">Collocato ordine ſuo pariter pares numeros, & </
s
>
<
s
xml:id
="
echoid-s8618
"
xml:space
="
preserve
">eos collige; </
s
>
<
s
xml:id
="
echoid-s8619
"
xml:space
="
preserve
">ſi perueneris in eam numeri ſummam, quæ
<
lb
/>
ſit numeri primi, & </
s
>
<
s
xml:id
="
echoid-s8620
"
xml:space
="
preserve
">incompoſiti, & </
s
>
<
s
xml:id
="
echoid-s8621
"
xml:space
="
preserve
">eam duxeris per præcedentem numerum, facies perfectum numerum. </
s
>
<
s
xml:id
="
echoid-s8622
"
xml:space
="
preserve
">col-
<
lb
/>
locato igitur 1. </
s
>
<
s
xml:id
="
echoid-s8623
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8624
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8625
"
xml:space
="
preserve
">8. </
s
>
<
s
xml:id
="
echoid-s8626
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s8627
"
xml:space
="
preserve
">32. </
s
>
<
s
xml:id
="
echoid-s8628
"
xml:space
="
preserve
">64. </
s
>
<
s
xml:id
="
echoid-s8629
"
xml:space
="
preserve
">Collige 1. </
s
>
<
s
xml:id
="
echoid-s8630
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8631
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8632
"
xml:space
="
preserve
">reddentur tres, ducito tres numerum pri-
<
lb
/>
mum, & </
s
>
<
s
xml:id
="
echoid-s8633
"
xml:space
="
preserve
">incompoſitum per duo numerum præcedentem, efficientur ſex. </
s
>
<
s
xml:id
="
echoid-s8634
"
xml:space
="
preserve
">Senarius igitur erit perfectus nume-
<
lb
/>
rus. </
s
>
<
s
xml:id
="
echoid-s8635
"
xml:space
="
preserve
">pari forma collige 1. </
s
>
<
s
xml:id
="
echoid-s8636
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8637
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8638
"
xml:space
="
preserve
">reddentur ſeptem, qui numerus eſt primus, & </
s
>
<
s
xml:id
="
echoid-s8639
"
xml:space
="
preserve
">incompoſitus, ducito ſeptem
<
lb
/>
per quatuor, reddes. </
s
>
<
s
xml:id
="
echoid-s8640
"
xml:space
="
preserve
">28. </
s
>
<
s
xml:id
="
echoid-s8641
"
xml:space
="
preserve
">qui eſt ſecundus perfectus numerus. </
s
>
<
s
xml:id
="
echoid-s8642
"
xml:space
="
preserve
">Collige item 1. </
s
>
<
s
xml:id
="
echoid-s8643
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8644
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8645
"
xml:space
="
preserve
">8. </
s
>
<
s
xml:id
="
echoid-s8646
"
xml:space
="
preserve
">efficies quinde-
<
lb
/>
cim, is numerus non eſt primus, & </
s
>
<
s
xml:id
="
echoid-s8647
"
xml:space
="
preserve
">incompoſitus, immo babet ſuas partes numerantes ſcilicet ternarium, vel
<
lb
/>
quinarium. </
s
>
<
s
xml:id
="
echoid-s8648
"
xml:space
="
preserve
">quare ſequere ulterius 1. </
s
>
<
s
xml:id
="
echoid-s8649
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8650
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8651
"
xml:space
="
preserve
">8. </
s
>
<
s
xml:id
="
echoid-s8652
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s8653
"
xml:space
="
preserve
">collige efficies 31. </
s
>
<
s
xml:id
="
echoid-s8654
"
xml:space
="
preserve
">qui numerus primus, & </
s
>
<
s
xml:id
="
echoid-s8655
"
xml:space
="
preserve
">incom-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.123-02
"
xlink:href
="
note-514.01.123-02a
"
xml:space
="
preserve
">20</
note
>
poſitus est. </
s
>
<
s
xml:id
="
echoid-s8656
"
xml:space
="
preserve
">duc igitur 16. </
s
>
<
s
xml:id
="
echoid-s8657
"
xml:space
="
preserve
">in 31. </
s
>
<
s
xml:id
="
echoid-s8658
"
xml:space
="
preserve
">reddentur 496. </
s
>
<
s
xml:id
="
echoid-s8659
"
xml:space
="
preserve
">numerus perfectus, & </
s
>
<
s
xml:id
="
echoid-s8660
"
xml:space
="
preserve
">ita in alijs. </
s
>
<
s
xml:id
="
echoid-s8661
"
xml:space
="
preserve
">nec mir ere in dena-
<
lb
/>
rio ſex. </
s
>
<
s
xml:id
="
echoid-s8662
"
xml:space
="
preserve
">in centenario 28. </
s
>
<
s
xml:id
="
echoid-s8663
"
xml:space
="
preserve
">in millenario 496. </
s
>
<
s
xml:id
="
echoid-s8664
"
xml:space
="
preserve
">perfectos numeros, boc eſt tam paucos reperiri, quia rara
<
lb
/>
ſunt, quæ perfecta ſunt. </
s
>
<
s
xml:id
="
echoid-s8665
"
xml:space
="
preserve
">Simili ratione in denis millibus perfectus eſt tantum 8128. </
s
>
<
s
xml:id
="
echoid-s8666
"
xml:space
="
preserve
">perfectorum numerorum
<
lb
/>
proprietas eſt, ut terminante primo m ſenarium, ſecundus deſinit in octonarium, tertius in ſenarium, quartus
<
lb
/>
in octonarium, & </
s
>
<
s
xml:id
="
echoid-s8667
"
xml:space
="
preserve
">nulla alia eſt perfectorum numerorum terminatio. </
s
>
<
s
xml:id
="
echoid-s8668
"
xml:space
="
preserve
">Sed qua ratione ternarius, & </
s
>
<
s
xml:id
="
echoid-s8669
"
xml:space
="
preserve
">denarius
<
lb
/>
numerus perfecti ſint appellati, nunc dicam. </
s
>
<
s
xml:id
="
echoid-s8670
"
xml:space
="
preserve
">Ternarius numerus complectitur primo primas numerorum diſ-
<
lb
/>
ferentias, paritatem ſcilicet, & </
s
>
<
s
xml:id
="
echoid-s8671
"
xml:space
="
preserve
">imparitatem, ſolusq́; </
s
>
<
s
xml:id
="
echoid-s8672
"
xml:space
="
preserve
">conficitur ex ſumma præcedentium numerorum, nam
<
lb
/>
1. </
s
>
<
s
xml:id
="
echoid-s8673
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8674
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8675
"
xml:space
="
preserve
">reddunt 3. </
s
>
<
s
xml:id
="
echoid-s8676
"
xml:space
="
preserve
">concluditq́; </
s
>
<
s
xml:id
="
echoid-s8677
"
xml:space
="
preserve
">principium, medium, & </
s
>
<
s
xml:id
="
echoid-s8678
"
xml:space
="
preserve
">finem. </
s
>
<
s
xml:id
="
echoid-s8679
"
xml:space
="
preserve
">bac de cauſa perfectus est numerus iudi-
<
lb
/>
catus. </
s
>
<
s
xml:id
="
echoid-s8680
"
xml:space
="
preserve
">Denarius uero perfectus est dictus, quoniam tanquam forma omnes alios numeros includit, ultra de-
<
lb
/>
cem enim progrediendo ad eandem unitatem, ex qua conficitur is numerus, redire oportet, ac denuo incipere.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s8681
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-514.01.123-03
"
xlink:href
="
note-514.01.123-03a
"
xml:space
="
preserve
">30</
note
>
Atque boc dixit Vitr. </
s
>
<
s
xml:id
="
echoid-s8682
"
xml:space
="
preserve
">ex Platonis ſententia, qui denarium pefectum numerum nuncupauit.</
s
>
<
s
xml:id
="
echoid-s8683
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8684
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Mathematici</
emph
>
uero contra diſputantes, ea re perfectum eſſe dixerunt numerum, qui ſex
<
lb
/>
dicitur, quod is numerus habet partitiones eorum rationibus ſex numero conuenientes; </
s
>
<
s
xml:id
="
echoid-s8685
"
xml:space
="
preserve
">ſic ſextantẽ,
<
lb
/>
unum@: </
s
>
<
s
xml:id
="
echoid-s8686
"
xml:space
="
preserve
">trientem, duo: </
s
>
<
s
xml:id
="
echoid-s8687
"
xml:space
="
preserve
">ſemiſſem, tria: </
s
>
<
s
xml:id
="
echoid-s8688
"
xml:space
="
preserve
">beſſem, quem dimiron dicunt quatuor: </
s
>
<
s
xml:id
="
echoid-s8689
"
xml:space
="
preserve
">quintarium, quem pen-
<
lb
/>
tamiron dicunt, quinque: </
s
>
<
s
xml:id
="
echoid-s8690
"
xml:space
="
preserve
">perfectum ſex. </
s
>
<
s
xml:id
="
echoid-s8691
"
xml:space
="
preserve
">{Eorum rationibus} idest ſecundum eorum Matbematicorum
<
lb
/>
rationes, qui uolunt eum eſſe perfectum numerum, qui ex ſumma eius partium redditur. </
s
>
<
s
xml:id
="
echoid-s8692
"
xml:space
="
preserve
">ideo dixit Vitr. </
s
>
<
s
xml:id
="
echoid-s8693
"
xml:space
="
preserve
">quod
<
lb
/>
is numerus babet partitiones corum rationibus, ſex numero conuenientes. </
s
>
<
s
xml:id
="
echoid-s8694
"
xml:space
="
preserve
">cum igitur perfectum ſenarium di-
<
lb
/>
xerint, idem illi euenire uoluerunt, quod denario. </
s
>
<
s
xml:id
="
echoid-s8695
"
xml:space
="
preserve
">nam cum unitatem ultra ſex adderent, ad eandem rationem
<
lb
/>
reuertebantur. </
s
>
<
s
xml:id
="
echoid-s8696
"
xml:space
="
preserve
">Solebant antiqui rem integram omnem Aſſem nominare. </
s
>
<
s
xml:id
="
echoid-s8697
"
xml:space
="
preserve
">eamq́; </
s
>
<
s
xml:id
="
echoid-s8698
"
xml:space
="
preserve
">in ſuas partes diuidere, & </
s
>
<
s
xml:id
="
echoid-s8699
"
xml:space
="
preserve
">
<
lb
/>
tanquàm felices Græcorum interpretes, maximè proprie res declarabant. </
s
>
<
s
xml:id
="
echoid-s8700
"
xml:space
="
preserve
">Voluere igitur ſenarium perfectum
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.123-04
"
xlink:href
="
note-514.01.123-04a
"
xml:space
="
preserve
">40</
note
>
eſſe, & </
s
>
<
s
xml:id
="
echoid-s8701
"
xml:space
="
preserve
">quia integrum, & </
s
>
<
s
xml:id
="
echoid-s8702
"
xml:space
="
preserve
">totum est quoddam, ideo eum Aſſem uocauere. </
s
>
<
s
xml:id
="
echoid-s8703
"
xml:space
="
preserve
">qui cum partes; </
s
>
<
s
xml:id
="
echoid-s8704
"
xml:space
="
preserve
">ſuas baberet, ex
<
lb
/>
eorum uocabulis, quales partes eſſent, declarabant. </
s
>
<
s
xml:id
="
echoid-s8705
"
xml:space
="
preserve
">Vnitatem, quæ ſexta eius eſt pars, ſextantem nomina-
<
lb
/>
runt. </
s
>
<
s
xml:id
="
echoid-s8706
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8707
"
xml:space
="
preserve
">trientem, nam 2. </
s
>
<
s
xml:id
="
echoid-s8708
"
xml:space
="
preserve
">tertia ſenarij, boc est Aßis pars eſt. </
s
>
<
s
xml:id
="
echoid-s8709
"
xml:space
="
preserve
">Tria ſemiſſem, quaſi Aſſem dimidium uo
<
lb
/>
cauere. </
s
>
<
s
xml:id
="
echoid-s8710
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s8711
"
xml:space
="
preserve
">beſſem, quoniam à toto duas aufert partes, græcè dimiron eadem ratione dicitur. </
s
>
<
s
xml:id
="
echoid-s8712
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s8713
"
xml:space
="
preserve
">quinta-
<
lb
/>
rium latine, græce autẽ pentamiron nominatur. </
s
>
<
s
xml:id
="
echoid-s8714
"
xml:space
="
preserve
">Sed ubi ad ſenarium peruentum est, boc eſt ad Aſſem, ſi quis
<
lb
/>
ultra progredi uelit, iam alterum aſſem duplicare incipit. </
s
>
<
s
xml:id
="
echoid-s8715
"
xml:space
="
preserve
">ideo 12. </
s
>
<
s
xml:id
="
echoid-s8716
"
xml:space
="
preserve
">diplaſiona Græci dicunt. </
s
>
<
s
xml:id
="
echoid-s8717
"
xml:space
="
preserve
">Cum uero Vi-
<
lb
/>
tr. </
s
>
<
s
xml:id
="
echoid-s8718
"
xml:space
="
preserve
">dixit, ſic ſextantem unum, non uult rationem reddere cur ſenarius numerus perfectus a Matbematicis di-
<
lb
/>
ctus eſt. </
s
>
<
s
xml:id
="
echoid-s8719
"
xml:space
="
preserve
">nam ſupra eam point, dum dixit quod is numerus habet partitiones eorum rationibus ſex numero con
<
lb
/>
uenientes, nam ſumma partium eius numeri, totum integrum reddit. </
s
>
<
s
xml:id
="
echoid-s8720
"
xml:space
="
preserve
">Sed oſtendere uult ſenarium ob prædi-
<
lb
/>
ctam rationem cum perfectus ſit, ſuas quoque partes habere a Matbematicis nominatas. </
s
>
<
s
xml:id
="
echoid-s8721
"
xml:space
="
preserve
">Quod ſi quis ulterius
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.123-05
"
xlink:href
="
note-514.01.123-05a
"
xml:space
="
preserve
">50</
note
>
progrediuelit, id illi eueniat, quod denario, qui ab alij perfectus est dictus; </
s
>
<
s
xml:id
="
echoid-s8722
"
xml:space
="
preserve
">euenire ostenſum est. </
s
>
<
s
xml:id
="
echoid-s8723
"
xml:space
="
preserve
">Alioquin
<
lb
/>
uana fuiſſet Matbematicorum obiectio in eos, qui denarium perfectum statuere, ſi ijdem Mathematici ſena-
<
lb
/>
rium ob eandem rationem perfectum eſſe uoluiſſent, qua denarius est ab alijs perfectus nominatus. </
s
>
<
s
xml:id
="
echoid-s8724
"
xml:space
="
preserve
">ideo
<
lb
/>
ſequitur.</
s
>
<
s
xml:id
="
echoid-s8725
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s8726
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Cvm</
emph
>
ad ſupputationcm creſcat ſupra ſex: </
s
>
<
s
xml:id
="
echoid-s8727
"
xml:space
="
preserve
">adiecto aſſe ephecton cum fact ſunt octo, quod eſt
<
lb
/>
tertia adiecta tertiarium, qui epitritos dicitur, dimidia adiecta cum facta ſunt nouem, ſeſquialterum
<
lb
/>
qui hemiolios appellatur, duabus partibus additis, & </
s
>
<
s
xml:id
="
echoid-s8728
"
xml:space
="
preserve
">decuſsi facto, beſalterum, quem epidimiron uo-
<
lb
/>
citant, in undeeim numero, quod adiecti ſunt quinque, quintarium, quod epipentamiron. </
s
>
<
s
xml:id
="
echoid-s8729
"
xml:space
="
preserve
">Duodecim
<
lb
/>
autem, quiex duobus ſimplicibus numeris eſt effectus diplaſrona.</
s
>
<
s
xml:id
="
echoid-s8730
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8731
"
xml:space
="
preserve
">{Adiecto Aſſe.</
s
>
<
s
xml:id
="
echoid-s8732
"
xml:space
="
preserve
">} Non referuntur bæc uerba ad adiectionem unitatis ſupra ſenarium, nã ſextans adijcitur,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.123-06
"
xlink:href
="
note-514.01.123-06a
"
xml:space
="
preserve
">60</
note
>
</
s
>
</
p
>
</
div
>
</
div
>
</
text
>
</
echo
>