Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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18.</
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puncta rectangula, hoc eſt vna vncia cum .6. punctis rectangulis. </
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<
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multiplicatione vnciarum .2. ſecundi lateris, cum .3. trabuchis primi lateris, produ-
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centur .6. vnciæ. </
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cum .2. pedibus primi, producentur .8. puncta.</
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<
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">Demum ex ijſdem .2. vncijs ſecundi lateris cum .3. primi, producentur .12. atto-
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mi, ideſt vnum punctum. </
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2. & attomi .3. omnes rectanguli oblongi. </
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<
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<
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<
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<
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xml:space
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">Videamus nunc exercitij cauſa, vt dixi, quomodo conueniat calculus iſte cum
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calculo ordinario communi?</
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<
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xml:space
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">Nam quotieſcunque dicta latera, fracta fuerint in vncias, primum latus erit
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vnciarum .243. ſecundum autem .182. productum vero vnius in alterum erit vn-
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ciarum quadratarum .44 226. quod quidem productum cum diuiſum fuerit per
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5184.</
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vncias quadratas vnius trabuchi quadrati, prouentus erit .8. trabucho-
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rum, reliquus verò numerus, ſiue fractus, erit vnciarum quadratarum .2754. qui
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cum diuiſus fuerit per numerum .144. vnciarum vnius pedis quadrati, prouenient
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pedes .19. quadrati cum vncijs .18. ſuperabundantibus, dicti autem pedes .19. ſignifi-
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cant tres pedes rectangulos oblongos cum vno pede quadrato, hoc eſt cum duabus
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vncijs rectangulis oblongis, vt ſupra.</
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<
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">Videndum nunc eſt, vtrum illæ .18. vnciæ æquipolleant tribus punctis rectangu-
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lis oblongis: </
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<
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">ſed hoc manifeſtè videre eſt, ex hoc, quia quęlibet vncia rectangula
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oblonga componitur ex .72. quadratis, punctum autem rectangulum oblongum,
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ſit duodecima pars ipſius vnciæ rectangulæ oblongæ, ipſum componetur ex .6. vn-
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cijs quadratis .18. igitur vncijs quadratis, triplum erit ipſius puncti rectanguli dicti.
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ciarum quadratarum ſuperabundantium, ad punctum rectangulum oblongum, ſi
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dixerimus ex regula de tribus, ſi .72. (vncia rectangula oblonga) dat .18. quid
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12? </
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ciæ rectangulæ oblongæ, in præſenti autem caſu prouenient .3. pro quarto termino
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quæſito, & habebimus propſitum.</
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