Ceva, Giovanni
,
Geometria motus
,
1692
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ad rectangulum AB in BC. quod erat demonſtrandum
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primo loco. </
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Def.
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8.
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huius.
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Def:
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2.
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huius.
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pr.
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2.
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huius.
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Def.
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2.
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huius.
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pr.
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1.
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huius.
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pr.
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4.
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huius.
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Cor. </
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3.
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hu
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ius.
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<
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">2. Si verò propoſitæ figuræ ſint quæcunque auuerſæ
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DAE, QPLMQ poterunt hæ reuocari ad quaſdam alias
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FKG, RSZX, quæ ſint inter eaſdem parallelas, queis com
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prehenduntur propoſitæ figuræ, ad eo vt exiſtentibus re
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ctis angulis KFG, RXZ ſint ipſæ binæ figuræ ab ijſdem pa
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rallelis interceptæ. </
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<
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">inter ſe æqualiter analogæ hoc eſt du
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ctis æquidiſtantibus, vt viſum fuerit IHBC, VTNO, ſint
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ſemper interiectæ lineæ IH, BC, & VT, NO æquales: hoc
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modo non tantùm liquet figuras FKG, DAE, nec noņ
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RSZX, PQML æquales inter ſe eſſe, verùm etiam FKG ad
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IKH eſſe in eadem ratione, in qua QPLMQ ad QPNOQ,
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quamobrem ex prima parte, rectangulum ZX in RM ad
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figuram SRXZS, hoc eſt rectangulum LM in altitudinem
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figuræ QPLMQ ad hanc ipſam figuram habebit eandem
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rationem, quam figura FKG ad rectangulum KF in FG,
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vel quam figura DAE ad rectangulum DE in altitudinem
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eiuſdem huius figuræ DAE; quo circa conſtat omne pro
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poſitum. </
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Tab.
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2.
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Fig.
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8.</
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Corollarium.
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Patet in prima parte repertum eſſe rectangulum FD iņ
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DN æquale figuræ GFDEG, licèt hæc immenſe longitudinis
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ſit versùs G, & ob id manifeſtum eſt, quòd quamuis aliquą
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figura ſit ſinè fiue longa, non ideo ſemper magnitudinem ha
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bet infinitam. </
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<
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vbi imago velocitatum, aut temporis ſit magnitudine termi
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nata, etiam altera auuerſarum, vel imaginum erit huiuſ
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modi &c.
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