Clavius, Christoph
,
Geometria practica
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LIBER QVARTVS.
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tum venire poſsimus in cognitionem alterius figurę ſimilis illi, ſimiliterque po-
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ſitę latus homologum etiam notum habentis: </
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<
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<
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ex area cu-
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iusl@bet figuræ
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eruatur areæ
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alteriu figuræ
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ſimilis.</
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figuræ cognitæ hab{et}, (qui denominator habebitur, ſi lat{us} figuræ ignotæ per lat{us} figuræ
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cognitæ diuidatur) ſi ducatur in aream cognitam, produc{et}ur area alteri{us} figuræ quæſi-
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tæ. </
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<
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<
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vt dictum est.</
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<
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<
s
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">Nam denominator proportionis lateris figurę quæſitę ad latus figuræ datę
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in ſe multiplicatus gignit denominatorem proportionis duplicatę eorum late-
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ſexti.</
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rum, vt ad defin. </
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<
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xml:space
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"> Cum ergo figurę ſimiles ſimili- terque poſitę habeant etiam proportionem duplicatam laterum homologo-
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rum; </
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<
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">fit vt denominator proportionis duplicatę laterum prædictorum multi-
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plicans aream cognitam producat aream quęſitam, hoc eſt, numerum, qui ad
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aream cognitam proportionem habeat duplicatam proportionis datorum la-
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terum, denominatam ſcilicet à denominatore, qui ex denominatore proportio-
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nis eorum laterum in ſe multip licato producitur. </
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<
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">Verbi gratia, Trianguli ABC,
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cuius latus A B, 10. </
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huic ſimile habens latus ipſi A B, homologum 70. </
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<
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">ipſi verò A C, homologum
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/209-01
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119. </
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<
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<
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nator 7. </
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rus huius denominatoris; </
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<
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ducetur area 4116. </
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<
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teri, cuius ſingula latera ſint, 1. </
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tur aliud triangulumæquilaterum, cuius ſingula latera ſint 70. </
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aream hoc modo. </
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</
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<
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in {13/30}. </
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<
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">aream cognitam. </
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<
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trianguli.</
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<
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regula ita quoque proponi poterit. </
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mer{us} lateris figuræ cognitæ ad quadratum numerum lateris figuræ quæſitæ, ita a
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<
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dicta aliter
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propoſita.</
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rea figuræ cognitæ ad aliud. </
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<
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<
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dratum lateris figuræ quæſitę, quæ figurę notæ ad figuram quæſitam: </
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xml:space
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ſexti.</
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pe cum vtraque proportio ſit duplicata proportionis laterum homologo-
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rum. </
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<
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ræ aream cognitam habentis fuerit 1. </
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guræ quæſitæ multiplicare in datam aream, vt quęſita area producatur: </
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vt operæ pretium ſit areas inueſtigare plurimarum figurarum regularium, qua-
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rum latera ſint 1. </
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