Vitruvius
,
De architectura libri decem
,
1567
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 412
>
341
(309)
342
(310)
343
(311)
344
(312)
345
(313)
346
(314)
347
(315)
348
(316)
349
(317)
350
(318)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 412
>
page
|<
<
(311)
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-div769
"
type
="
section
"
level
="
2
"
n
="
142
">
<
p
>
<
s
xml:id
="
echoid-s23643
"
xml:space
="
preserve
">
<
pb
o
="
311
"
file
="
514.01.343
"
n
="
343
"
rhead
="
NONVS.
"/>
f g, facti. </
s
>
<
s
xml:id
="
echoid-s23644
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23645
"
xml:space
="
preserve
">t. </
s
>
<
s
xml:id
="
echoid-s23646
"
xml:space
="
preserve
">centrum in diametro k l. </
s
>
<
s
xml:id
="
echoid-s23647
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23648
"
xml:space
="
preserve
">u. </
s
>
<
s
xml:id
="
echoid-s23649
"
xml:space
="
preserve
">demum centrum in q r. </
s
>
<
s
xml:id
="
echoid-s23650
"
xml:space
="
preserve
">Quoniam uero diuerſæ ſunt
<
lb
/>
cali inclinationes, ut dictum eſt, alia Romæ alia Athenis, alia alibi: </
s
>
<
s
xml:id
="
echoid-s23651
"
xml:space
="
preserve
">ideo ſtatuendum est pro qua inclinatio-
<
lb
/>
ne horologium ſit conficiendum, ut & </
s
>
<
s
xml:id
="
echoid-s23652
"
xml:space
="
preserve
">finitoris, & </
s
>
<
s
xml:id
="
echoid-s23653
"
xml:space
="
preserve
">uerticalis diametros analemmati inſcrib amus. </
s
>
<
s
xml:id
="
echoid-s23654
"
xml:space
="
preserve
">Statuamus
<
lb
/>
crgo borologium deſcribere ad eam inclinationem, quæ eſt Venetijs, quæ ad quadraginta quinque tetrantis
<
lb
/>
<
figure
xlink:label
="
fig-514.01.343-01
"
xlink:href
="
fig-514.01.343-01a
"
number
="
141
">
<
variables
xml:id
="
echoid-variables97
"
xml:space
="
preserve
">1 3 b x z g 2 5 f p 0 1 4 t I c e o n m r u 6 q i h 8 y d 5</
variables
>
</
figure
>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-01
"
xlink:href
="
note-514.01.343-01a
"
xml:space
="
preserve
">10</
note
>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-02
"
xlink:href
="
note-514.01.343-02a
"
xml:space
="
preserve
">20</
note
>
partes extollitur. </
s
>
<
s
xml:id
="
echoid-s23655
"
xml:space
="
preserve
">numeretur altitudo dicta a puncto
<
lb
/>
b, uerſus d. </
s
>
<
s
xml:id
="
echoid-s23656
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23657
"
xml:space
="
preserve
">fiat ſignum in meridiana circina-
<
lb
/>
tione, ubi est litera x. </
s
>
<
s
xml:id
="
echoid-s23658
"
xml:space
="
preserve
">ducatur ab x, per cen-
<
lb
/>
trum e, ad oppoſitam partem meridiani linea X
<
lb
/>
e y. </
s
>
<
s
xml:id
="
echoid-s23659
"
xml:space
="
preserve
">quæ finitoris diametro reſpondebit. </
s
>
<
s
xml:id
="
echoid-s23660
"
xml:space
="
preserve
">Ducatur
<
lb
/>
deinde diameter uerticalis, quæ gnomon dicitur ad
<
lb
/>
angulos rectos finitoris diametrum ſecans, & </
s
>
<
s
xml:id
="
echoid-s23661
"
xml:space
="
preserve
">ſit il-
<
lb
/>
la z e &</
s
>
<
s
xml:id
="
echoid-s23662
"
xml:space
="
preserve
">. His expeditis ducendæ ſunt lineæ a
<
lb
/>
ſingulis diametrorum ſectionibus finitoris, uerbi
<
lb
/>
gratia ubi diameter f g, ſecat finitorem x e y.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s23663
"
xml:space
="
preserve
">ubi eſt 2. </
s
>
<
s
xml:id
="
echoid-s23664
"
xml:space
="
preserve
">ducenda est linea ad circinationem he-
<
lb
/>
micycli Cancri ad punctum i. </
s
>
<
s
xml:id
="
echoid-s23665
"
xml:space
="
preserve
">ſimili modo ubi dia-
<
lb
/>
meter k l, ſecat finitorem x e y, in ſigno 4. </
s
>
<
s
xml:id
="
echoid-s23666
"
xml:space
="
preserve
">
<
lb
/>
ducenda eſt linea ad ſemicirculi ſui circinationem
<
lb
/>
in ſignum 3. </
s
>
<
s
xml:id
="
echoid-s23667
"
xml:space
="
preserve
">eadem ratione a diametro q r. </
s
>
<
s
xml:id
="
echoid-s23668
"
xml:space
="
preserve
">in
<
lb
/>
ſectione eius, & </
s
>
<
s
xml:id
="
echoid-s23669
"
xml:space
="
preserve
">finitoris ducenda eſt linea b s. </
s
>
<
s
xml:id
="
echoid-s23670
"
xml:space
="
preserve
">
<
lb
/>
hæ igitur erunt communes eorum circulorum cum
<
lb
/>
finitore ſectiones, quæ quotam partem eorum circu-
<
lb
/>
lorum extantem ſupra finitorem ostendunt. </
s
>
<
s
xml:id
="
echoid-s23671
"
xml:space
="
preserve
">itaque
<
lb
/>
ſi ducamus ſemicirculum g 1 f. </
s
>
<
s
xml:id
="
echoid-s23672
"
xml:space
="
preserve
">ad integrum cir-
<
lb
/>
culum, & </
s
>
<
s
xml:id
="
echoid-s23673
"
xml:space
="
preserve
">ſectionem 1 2, producamus ad alteram
<
lb
/>
partẽ circuli, ſane pars illa 1 g, & </
s
>
<
s
xml:id
="
echoid-s23674
"
xml:space
="
preserve
">extremo lineæ
<
lb
/>
1 2 comprehenſa, oſtendet portionẽ quæ ſub finitore
<
lb
/>
erit. </
s
>
<
s
xml:id
="
echoid-s23675
"
xml:space
="
preserve
">reliqua uero 1 f, et alterum extremũ, partem
<
lb
/>
extantem declarabit. </
s
>
<
s
xml:id
="
echoid-s23676
"
xml:space
="
preserve
">Eadem erit reliquarum diame
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-03
"
xlink:href
="
note-514.01.343-03a
"
xml:space
="
preserve
">30</
note
>
trorum ſpeculatio. </
s
>
<
s
xml:id
="
echoid-s23677
"
xml:space
="
preserve
">Sumamus ergo in alio loco circulum diametri f s g. </
s
>
<
s
xml:id
="
echoid-s23678
"
xml:space
="
preserve
">qui ſit 1 f 7 g. </
s
>
<
s
xml:id
="
echoid-s23679
"
xml:space
="
preserve
">ita ut 1, ad
<
lb
/>
dextram collocetur ubi ortus 7. </
s
>
<
s
xml:id
="
echoid-s23680
"
xml:space
="
preserve
">ad ſiniſtram ubi occaſus, g. </
s
>
<
s
xml:id
="
echoid-s23681
"
xml:space
="
preserve
">in imo, f. </
s
>
<
s
xml:id
="
echoid-s23682
"
xml:space
="
preserve
">in ſummo ſit: </
s
>
<
s
xml:id
="
echoid-s23683
"
xml:space
="
preserve
">iam diuidendus est
<
lb
/>
circulus is iuxta id genus horarum, quod propoſitum eſt, nam diuerſorum gener um horarum, diuerſas faciunt
<
lb
/>
illius circuli partitiones. </
s
>
<
s
xml:id
="
echoid-s23684
"
xml:space
="
preserve
">Sumamus nos ante alia, horas antiquas: </
s
>
<
s
xml:id
="
echoid-s23685
"
xml:space
="
preserve
">diuidatur ergo portio circuli huius 1
<
lb
/>
g 7. </
s
>
<
s
xml:id
="
echoid-s23686
"
xml:space
="
preserve
">quæſupra finitorem eſſe fingitur, in partes duodenas, & </
s
>
<
s
xml:id
="
echoid-s23687
"
xml:space
="
preserve
">ubi eſt litera 1. </
s
>
<
s
xml:id
="
echoid-s23688
"
xml:space
="
preserve
">ad ortum notandum est 1
<
lb
/>
2. </
s
>
<
s
xml:id
="
echoid-s23689
"
xml:space
="
preserve
">diuidatur quoque portio i g 7. </
s
>
<
s
xml:id
="
echoid-s23690
"
xml:space
="
preserve
">infra 1. </
s
>
<
s
xml:id
="
echoid-s23691
"
xml:space
="
preserve
">in duodenas partes, & </
s
>
<
s
xml:id
="
echoid-s23692
"
xml:space
="
preserve
">in prima parte tam ſupra, quam in-
<
lb
/>
fra 1. </
s
>
<
s
xml:id
="
echoid-s23693
"
xml:space
="
preserve
">noteur 11. </
s
>
<
s
xml:id
="
echoid-s23694
"
xml:space
="
preserve
">in ſecundis 10. </
s
>
<
s
xml:id
="
echoid-s23695
"
xml:space
="
preserve
">in tertijs 9. </
s
>
<
s
xml:id
="
echoid-s23696
"
xml:space
="
preserve
">in quartis octo, in quintis ſeptem, in ſextis 6. </
s
>
<
s
xml:id
="
echoid-s23697
"
xml:space
="
preserve
">in ſep-
<
lb
/>
timis quinque, in octauis 4. </
s
>
<
s
xml:id
="
echoid-s23698
"
xml:space
="
preserve
">in nonis 3. </
s
>
<
s
xml:id
="
echoid-s23699
"
xml:space
="
preserve
">in decimis 2. </
s
>
<
s
xml:id
="
echoid-s23700
"
xml:space
="
preserve
">in undecimis 1. </
s
>
<
s
xml:id
="
echoid-s23701
"
xml:space
="
preserve
">Ita enim diuiſæ erunt portiones
<
lb
/>
circuli tam ſupra, quam infra finitorem, nec te moueat quod portio 1 g 7. </
s
>
<
s
xml:id
="
echoid-s23702
"
xml:space
="
preserve
">inferior Cancri inſeruiat par-
<
lb
/>
titioni minoris diei, quoniam conſider anda eſt tanquam portio ſuperior Capricorni. </
s
>
<
s
xml:id
="
echoid-s23703
"
xml:space
="
preserve
">His rationibus omnium
<
lb
/>
ſignorum circuli partiendi ſunt, uidebis autem in omni ſigno portionem horarum extantem finitori. </
s
>
<
s
xml:id
="
echoid-s23704
"
xml:space
="
preserve
">post hæc
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-04
"
xlink:href
="
note-514.01.343-04a
"
xml:space
="
preserve
">40</
note
>
fiat diameter circuli 1 f 7 g. </
s
>
<
s
xml:id
="
echoid-s23705
"
xml:space
="
preserve
">qui meridiano reſpondeat, & </
s
>
<
s
xml:id
="
echoid-s23706
"
xml:space
="
preserve
">ſit f g. </
s
>
<
s
xml:id
="
echoid-s23707
"
xml:space
="
preserve
">ad eam diametrum rectæ ducantur a
<
lb
/>
ſingulis partibus in circinationis linea ſignatis, ita ab 11. </
s
>
<
s
xml:id
="
echoid-s23708
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23709
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s23710
"
xml:space
="
preserve
">cadet linea in f g. </
s
>
<
s
xml:id
="
echoid-s23711
"
xml:space
="
preserve
">diametrum, & </
s
>
<
s
xml:id
="
echoid-s23712
"
xml:space
="
preserve
">ſi-
<
lb
/>
mili ratione ab 10. </
s
>
<
s
xml:id
="
echoid-s23713
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23714
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s23715
"
xml:space
="
preserve
">ab 9. </
s
>
<
s
xml:id
="
echoid-s23716
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23717
"
xml:space
="
preserve
">3, ab 8. </
s
>
<
s
xml:id
="
echoid-s23718
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23719
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s23720
"
xml:space
="
preserve
">ab 7. </
s
>
<
s
xml:id
="
echoid-s23721
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23722
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s23723
"
xml:space
="
preserve
">erunt autem ſigna ubi 6. </
s
>
<
s
xml:id
="
echoid-s23724
"
xml:space
="
preserve
">in
<
lb
/>
meridiana linea, nam ſexta hora antiquorum meridies erat. </
s
>
<
s
xml:id
="
echoid-s23725
"
xml:space
="
preserve
">Sunt autem lineæ buiuſmodi ea de cauſa ductæ
<
lb
/>
ut ſciamus ſectiones horarias cum plano horologij, uel finitoris. </
s
>
<
s
xml:id
="
echoid-s23726
"
xml:space
="
preserve
">Nunc ex anal emmate Solis altitudines eli-
<
lb
/>
ciendæ, ut protenſiones umbrarum ſingulis horis indicemus. </
s
>
<
s
xml:id
="
echoid-s23727
"
xml:space
="
preserve
">Sumatur igitur ab analemmate meridianus a
<
lb
/>
b c d, & </
s
>
<
s
xml:id
="
echoid-s23728
"
xml:space
="
preserve
">diameter tropici Cancri f g. </
s
>
<
s
xml:id
="
echoid-s23729
"
xml:space
="
preserve
">ſecundum partitiones iam factas in diagrammate O. </
s
>
<
s
xml:id
="
echoid-s23730
"
xml:space
="
preserve
">Sumatur
<
lb
/>
etiam finitor x e y. </
s
>
<
s
xml:id
="
echoid-s23731
"
xml:space
="
preserve
">quemadmodum eſt in analemmate, traijciantur autem lineæ per diuiſiones ſingulas Cã
<
lb
/>
cri, quæ æquidiſtent finitori x e y. </
s
>
<
s
xml:id
="
echoid-s23732
"
xml:space
="
preserve
">quæ altero extremo cir cinationem meridiani, altero verticalem diame-
<
lb
/>
trum contingant. </
s
>
<
s
xml:id
="
echoid-s23733
"
xml:space
="
preserve
">post hæc gnomonis longitudinem ſtatuas quantam libet. </
s
>
<
s
xml:id
="
echoid-s23734
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23735
"
xml:space
="
preserve
">eam pones ſub e. </
s
>
<
s
xml:id
="
echoid-s23736
"
xml:space
="
preserve
">ubi apex
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-05
"
xlink:href
="
note-514.01.343-05a
"
xml:space
="
preserve
">50</
note
>
gnomonis eſt ad z. </
s
>
<
s
xml:id
="
echoid-s23737
"
xml:space
="
preserve
">in diametro uerticali z e &</
s
>
<
s
xml:id
="
echoid-s23738
"
xml:space
="
preserve
">. & </
s
>
<
s
xml:id
="
echoid-s23739
"
xml:space
="
preserve
">per z. </
s
>
<
s
xml:id
="
echoid-s23740
"
xml:space
="
preserve
">ubi pes gnomonis eſſe fingitur tranſeat linea
<
lb
/>
finitori æque distans, quæ ſit T Z V. </
s
>
<
s
xml:id
="
echoid-s23741
"
xml:space
="
preserve
">linea hæc planitiæ linea eſt. </
s
>
<
s
xml:id
="
echoid-s23742
"
xml:space
="
preserve
">ad eliciendas aut em umbrarum produ-
<
lb
/>
ctiones ſingulis horis, duces occultas lineas ab horis in meridiana circinatione ſignatis per centrum e, ad
<
lb
/>
lineam planitiæ. </
s
>
<
s
xml:id
="
echoid-s23743
"
xml:space
="
preserve
">metieris autem umbras a ſigno Z, ubi est pes gnomonis ad terminum ſingular um hora-
<
lb
/>
rum in lineam planitiæ ductarum. </
s
>
<
s
xml:id
="
echoid-s23744
"
xml:space
="
preserve
">ſimili ratione, ſi lineam Q R S. </
s
>
<
s
xml:id
="
echoid-s23745
"
xml:space
="
preserve
">duxeris æque diſtantem finitori ſupra
<
lb
/>
centrum e. </
s
>
<
s
xml:id
="
echoid-s23746
"
xml:space
="
preserve
">pro gnomonis longitudine, & </
s
>
<
s
xml:id
="
echoid-s23747
"
xml:space
="
preserve
">ad eã lineas occultas, ab horis in circinatione meridiani poſitis de-
<
lb
/>
duxeris, habebis longitudinem umbræ in horis hybernis: </
s
>
<
s
xml:id
="
echoid-s23748
"
xml:space
="
preserve
">quemadmodum ex diagrammmate noſces. </
s
>
<
s
xml:id
="
echoid-s23749
"
xml:space
="
preserve
">Sed
<
lb
/>
accedamus ad latitudinem umbræ ex analemmate elicienda. </
s
>
<
s
xml:id
="
echoid-s23750
"
xml:space
="
preserve
">Primum ergo ut confuſionem linearum fugiamus,
<
lb
/>
circulũut ſupra, facies a b c d. </
s
>
<
s
xml:id
="
echoid-s23751
"
xml:space
="
preserve
">in quo uerticalis diametrum z e &</
s
>
<
s
xml:id
="
echoid-s23752
"
xml:space
="
preserve
">. & </
s
>
<
s
xml:id
="
echoid-s23753
"
xml:space
="
preserve
">finitorem x e y. </
s
>
<
s
xml:id
="
echoid-s23754
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23755
"
xml:space
="
preserve
">tropici
<
lb
/>
diametrum f g. </
s
>
<
s
xml:id
="
echoid-s23756
"
xml:space
="
preserve
">cum ſuis diuiſionibus ex diagrammate O. </
s
>
<
s
xml:id
="
echoid-s23757
"
xml:space
="
preserve
">ſumptis, inde duces per diuiſionis tropici ſigna,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.343-06
"
xlink:href
="
note-514.01.343-06a
"
xml:space
="
preserve
">60</
note
>
</
s
>
</
p
>
</
div
>
</
div
>
</
text
>
</
echo
>