Alberti, Leone Battista
,
De re aedificatoria
,
1485
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<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N40001A
">
<
p
id
="
N409E2D
"
type
="
main
">
<
s
id
="
N409FAE
">
<
pb
xlink:href
="
004/01/215.jpg
"/>
anulo columnæ calcem obambit / ſi ita licet / nextrum appel
<
lb
/>
lemus. </
s
>
<
s
id
="
N409FBB
">Anulum autem in
<
expan
abbr
="
ſũmo
">ſummo</
expan
>
præter nextrum qui ueluti
<
lb
/>
funiculus aduolutus ſupremum ſcapi ambitum adſtringit /
<
lb
/>
torquem appellemus. </
s
>
<
s
id
="
N409FC6
">Demum finitor linea comparabitur
<
lb
/>
ſic:
<
expan
abbr
="
nãque
">nanque</
expan
>
in pauimento quidem aut coæquato aliquo in pari
<
lb
/>
ete quem locum picturam nuncupo recta inſcribitur linea
<
lb
/>
longa æque atque futura eſt columna: quam ex rupe fabri ex
<
lb
/>
ſecturi ſint: hæc linea axis dicitur. </
s
>
<
s
id
="
N409FD5
">Axim ergo diuidemus
<
lb
/>
certas in partes prout futuri operis ratio et columnarum ua
<
lb
/>
rietas / de qua ſuo dicetur loco poſtulabit: ad quarum partium
<
lb
/>
modum fiet imæ plantæ diameter:
<
expan
abbr
="
quã
">quam</
expan
>
iſtic in pictura
<
expan
abbr
="
trãſ
">tranſ</
expan
>
<
lb
/>
uerſa lineola ad pares utrumque angulos infimo in axis capi
<
lb
/>
te perſcribimus. </
s
>
<
s
id
="
N409FEA
">Hanc diametrum
<
expan
abbr
="
ĩ
">in</
expan
>
partes diuidimus qua
<
lb
/>
tuor et uiginti. </
s
>
<
s
id
="
N409FF3
">Partium unam damus altitudini nextruli:
<
lb
/>
quam quidem altitudinem iſtic in pictura deſcribimus li
<
lb
/>
nea puſilla. </
s
>
<
s
id
="
N409FFC
">Rurſus ex quattuor et uiginti particulis plan
<
lb
/>
tæ capimus tris: ad iſtamque altitudinem
<
expan
abbr
="
ĩ
">in</
expan
>
axi ponimus cen
<
lb
/>
trum proximæ retractionis. </
s
>
<
s
id
="
N40A007
">Per hocque centrum lineam du
<
lb
/>
cimus ad pares angulos æquidiſtantem plantæ. </
s
>
<
s
id
="
N40A00C
">Iſtæc igitur
<
lb
/>
linea erit diameter imæ retractionis: cuius longitudo fiet
<
lb
/>
breuior
<
expan
abbr
="
q̈
">quam</
expan
>
ſit ipſa diameter plantæ ex illius ſeptima. </
s
>
<
s
id
="
N40A01B
">Signa
<
lb
/>
tis his duabus lineis / hoc eſt diametro
<
expan
abbr
="
retractiõis
">retractionis</
expan
>
et nextro
<
lb
/>
a capite nextri ſoluto ad caput retractionis ducimus
<
expan
abbr
="
lineã
">lineam</
expan
>
<
lb
/>
inflexam dorſo uerſus axem flexione
<
expan
abbr
="
q̈
">quam</
expan
>
id fieri poterit mol
<
lb
/>
li atque gratiſſima. </
s
>
<
s
id
="
N40A033
">Eius iſtius flexionis initium quart
<
expan
abbr
="
ã
">am</
expan
>
ha
<
lb
/>
bebit circuli puſilli: cuius cicli ſemidiameter ſit nextri al
<
lb
/>
titudo. </
s
>
<
s
id
="
N40A042
">Poſt id totam axis longitudinem in partes diuidi
<
lb
/>
mus æquales ſeptem. </
s
>
<
s
id
="
N40A047
">et eas diuiſiones
<
expan
abbr
="
pũctis
">punctis</
expan
>
annotauimus.
<
lb
/>
</
s
>
<
s
id
="
N40A051
">Quarto igitur in puncto a planta numerare incipiens con
<
lb
/>
ſtituam centrum uentris: per quod ſuam ducas diametrum:
<
lb
/>
cuius longitudo æqualis ſit diametro imæ retractionis. </
s
>
<
s
id
="
N40A05A
">
<
expan
abbr
="
Sũma
">Sum
<
lb
/>
ma</
expan
>
<
expan
abbr
="
deĩceps
">deinceps</
expan
>
retractio et proiectura conſtituentur ſic. </
s
>
<
s
id
="
N40A066
">Nam
<
lb
/>
pro columnæ magnitudine de qua ſuo loco rationabimur /
<
lb
/>
ſummi circuli diameter ex diametro ima plantae dedu</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>