Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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ſumatur in inſtrumento interuallum inter 10. </
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<
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<
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<
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xml:space
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">æquale, erit interuallum in-
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ter 100. </
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<
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<
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<
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<
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<
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vero ſi viciſsim ex qualibet parte rectæ A B, auferendæ ſint quot-
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xlink:label
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xml:space
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">Quo modo ex
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data linea au-
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ferendæ ſint
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quotcunque
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part{es} decim æ
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velaliæ part{es}.</
note
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cunque decimæ partes vnius, diuidendum erit ſegmentum continens numerum
<
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partium decimarum in 10. </
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>
<
s
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xml:space
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">pattes æquales. </
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<
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xml:space
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">Nam vna pars decima huius ſegmen-
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ti continebit decimas partes quæſitas. </
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<
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xml:space
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">Vt ſi cupiat quis {7/10}, diuidendum erit
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ſegmentum rectæ A B, includens 7. </
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<
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">Quælibet namq;
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</
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<
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">harum comprehendet {7/10}. </
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<
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">vnius partis rectæ A B. </
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Sed commodius hunc vſum nobis præſtabit inſtrumentum partium ſupra con-
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ſtructum. </
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<
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xml:space
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">Eius enim beneficio ex quauis recta abſcindemus non ſolum quot-
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cunque decimas, ſed etiam centeſimas, decimas nonas, nonageſimas octauas,
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& </
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">ſic deinceps, vſque ad dimidiatam partem. </
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">Nam ſi velimus {3/100}. </
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<
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lineæ, capiemus ei lineæ interuallum inter 100. </
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<
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">æquale. </
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que extenſus inter 3. </
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">quæſitas. </
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">Ita quo que circini pedes inter
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50. </
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<
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">id eſt, {1/2}. </
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<
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xml:space
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<
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{20/100}. </
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<
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">hoc eſt, {1/5}. </
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<
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xml:space
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">ſic de cæteris, vt fuſius in vſu prædicti inſtrumenti partium
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cap. </
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<
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<
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lorum rectilineorum.
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<
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III.</
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">TERTIO loco præmiſſuros nos polliciti ſumus varia problema-
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ta triangulorum rectilineorum, vt & </
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<
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">latera eorum atque anguli
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ex quibuſdam datis, & </
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<
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">cognitis promptè, atque expeditè, cum id
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res poſtulauerit, poſsint erui: </
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<
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xml:space
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">quod hoc tertio capite exequemur.
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</
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<
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xml:space
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">Prioriautem loco de triangulis rectangulis: </
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<
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">poſteriori vero de ob-
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liquangulis agemus. </
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>
<
s
xml:id
="
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xml:space
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">In margine porrò adſcripſimus propoſitiones noſtri
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tractatus triangulorum rectilineorum, in Theodoſio noſtro editi, in quibus
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problemata hæc demonſtrantur, vt ſtudioſi intelligant, vnde eorum demon-
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ſtrationes, quando libuerit, petere debeant.</
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<
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xml:space
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gulorum problemata.
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I. PROPORTIONES LATERVM</
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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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</
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<
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ctil.</
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<
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xml:id
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">Singulis laterib{us} adſcribantur ſin{us} angulorum oppoſitorum. </
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<
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xml:id
="
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">Latera enim eaſ-
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dem proportion{es} habent, quæ inter ſin{us} angulorum laterib{us} oppoſitorum reperiuntur.</
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