Vitruvius
,
De architectura libri decem
,
1567
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eſſe poſuimus, ſed a b. </
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<
s
xml:id
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<
s
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">adrectos cadit ſimiliter c b. </
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<
s
xml:id
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"
xml:space
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">perpendicularis eſt
<
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ipſi d b g. </
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<
s
xml:id
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"
xml:space
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">ex corollario ergo octauæ ſexti b d. </
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>
<
s
xml:id
="
echoid-s20951
"
xml:space
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">eſt comparabilis illi, quæ cadit inter c b. </
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>
<
s
xml:id
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xml:space
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">& </
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<
s
xml:id
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echoid-s20953
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xml:space
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">b c. </
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<
s
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xml:space
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ri quoqueratione b c. </
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<
s
xml:id
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xml:space
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">eſt media inter b d. </
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<
s
xml:id
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xml:space
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">& </
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<
s
xml:id
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">b g. </
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<
s
xml:id
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xml:space
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">Poſita igitur ratione & </
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<
s
xml:id
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xml:space
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">proportione communi li-
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neæ b d. </
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<
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<
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">lineæ b c. </
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<
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">ſequitur quod g b. </
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<
s
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xml:space
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">eam comparationem habebit lineæ b d. </
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<
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b. </
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<
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<
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xml:space
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">quoniam utraq́; </
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<
s
xml:id
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xml:space
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">proportio, ut patuit, eſt ut b d. </
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<
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xml:id
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<
s
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">ex undecima quinti. </
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<
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xml:space
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">igitur ut g
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b ad b d ita b d. </
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<
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xml:id
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xml:space
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<
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xml:space
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<
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<
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">Datis ergo duabus rectis b g. </
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<
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xml:space
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">& </
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<
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xml:space
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">e b. </
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<
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xml:space
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">inuentæfue-
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<
figure
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fig-514.01.309-01
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xlink:href
="
fig-514.01.309-01a
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number
="
110
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<
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xml:space
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">Veſtigium meſolabij Architæ.</
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>
<
figure
xlink:label
="
fig-514.01.309-02
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xlink:href
="
fig-514.01.309-02a
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number
="
111
">
<
caption
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="
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xml:space
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">Orthographia meſolabij Architæ.</
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>
</
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<
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xlink:label
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note-514.01.309-01
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xlink:href
="
note-514.01.309-01a
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xml:space
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">10</
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<
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note-514.01.309-02
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xlink:href
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note-514.01.309-02a
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xml:space
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note-514.01.309-03
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note-514.01.309-03a
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runt duæmediæ proportione reſpondentes. </
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<
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<
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xml:space
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">& </
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<
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">b e. </
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<
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">atque ea eſt Platonis inuentio. </
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<
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">Instrumentum
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uero huiuſmodi eſt. </
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<
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">Esto norma k m l. </
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<
s
xml:id
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xml:space
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">in cuius altero ancone accommodetur regula n o ad rectos angu-
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los quæ progredi, ac regredi poßit. </
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<
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<
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nientur.</
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<
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<
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">& </
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<
s
xml:id
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">b g. </
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>
<
s
xml:id
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xml:space
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">ut in demonſtratione poſuimus in b ad rectum angulum cadentes, & </
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<
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cantur ut ſupra. </
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<
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<
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xml:space
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<
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xml:id
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<
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xml:id
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">ita ut latus normæ k m. </
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<
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xml:id
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</
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<
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<
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">angulus m. </
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<
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">applicetur lineæ b c. </
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<
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xml:id
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">angulus o. </
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<
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<
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xml:id
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">regula mobilis per punctum e ue-
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niat, ita quod tamen ſuperponatur puncto e & </
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<
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xml:id
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xml:space
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">o cadat ſupra d. </
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<
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xml:id
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<
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dias b d. </
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<
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xml:space
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<
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xml:id
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xml:space
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">b c. </
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<
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xml:id
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xml:space
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">comparabiles inter duas datas e b. </
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<
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xml:space
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<
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xml:id
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">b g. </
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<
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xml:space
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">cuius rei eadem, quæ ſupra eſt demon-
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ſtratio. </
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<
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<
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<
s
xml:id
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xml:space
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">inſtrumento utebatur, ſubtiliter ſanè, & </
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<
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modato. </
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<
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xml:id
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xml:space
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">Inſtrumenti constructio est huiuſinodi. </
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<
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">Regulæ in formam literæ T ad angulos rectos Poneban-
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tur ita uta utriuſq; </
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<
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<
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<
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">tranſuerſa. </
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<
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<
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nalis erat in quo cuneus ſurſum ac deorſum mouebatur, per medium autem c d tranſuerſa linea,in cuius ex-
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tremo d fixus erat clauiculus g h. </
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<
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xml:id
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<
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">in claniculo ſoramen
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<
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erat in quo regula parua e f mouebatur coniuncta cum cuneo in canali poſito. </
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<
s
xml:id
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xml:space
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">esto igitur caput regulæ par
<
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uæ k. </
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<
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xml:id
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xml:space
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">ſimouebis cuneumper canalem aut ad a. </
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<
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xml:id
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">aut ad b. </
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<
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xml:id
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xml:space
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">ſimul cum regula e f. </
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<
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rectam mouebitur, & </
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<
s
xml:id
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xml:space
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<
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xml:id
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">egredietur. </
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<
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<
s
xml:id
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xml:space
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f. </
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<
s
xml:id
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xml:space
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">ſuo motu mouebitur per foramen clauiculi. </
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<
s
xml:id
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xml:space
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">obſeruabitur ergo ecceſſum e k. </
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<
s
xml:id
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xml:space
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">regulæ e f. </
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<
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xml:id
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">ſemper idem
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& </
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<
s
xml:id
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">eiuſdem longitudinis fore. </
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>
<
s
xml:id
="
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xml:space
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">quare ſi in k apponetur aliquid quod deſcribere aut ſignare poßit planum ſub-
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iectum regulæ paruæ motu deſcribetur flexa quædam linea ut l m n. </
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>
<
s
xml:id
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xml:space
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uocat.</
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<
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">& </
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<
s
xml:id
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<
s
xml:id
="
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">k. </
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<
s
xml:id
="
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xml:space
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">magnitudinem regulæ appellat, punctum uero d. </
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>
<
s
xml:id
="
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xml:space
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">polum, in flexa illa
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linea tres proprietates inueniri: </
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>
<
s
xml:id
="
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xml:space
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">quarum una est quod linea flexa l m n. </
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<
s
xml:id
="
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xml:space
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">quo plus producitur,eò minus di-
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ſtat a recta a b. </
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<
s
xml:id
="
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xml:space
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">ut uidetur nota c. </
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<
s
xml:id
="
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xml:space
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">plus diſtare ab a b. </
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>
<
s
xml:id
="
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">quam notam n. </
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<
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xml:id
="
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">& </
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<
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xml:id
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">n. </
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<
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xml:id
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<
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xml:id
="
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<
s
xml:id
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">de-
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nique m. </
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<
s
xml:id
="
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">pluſquam l. </
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>
<
s
xml:id
="
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"
xml:space
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">quod aperte uidebis,ſi anotis c n m l. </
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>
<
s
xml:id
="
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xml:space
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">cadant perpendiculares in a b. </
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>
<
s
xml:id
="
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<
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<
note
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="
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xlink:label
="
note-514.01.309-06
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xlink:href
="
note-514.01.309-06a
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">60</
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