Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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bet, ſive ſecunda, aut media. </
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Deinde ductâ rectâ AB, aga
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tur illi ex C parallela CD,
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occurrensipſi AE productæ,
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in D; eritque ED tertia
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proportionalis quæſita. </
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Annotatio.
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SI duæ datæſint nimis longæ, ſervetur id, quod diximus in Annota
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tione Propoſitionis quartæ præcedentis.
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Propoſitio VII.
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Datis tribus numeris, invenire quartum pro
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portionalem.
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Numeris
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tribus datis
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quartum
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proportiona
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lem inveni
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re.
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>UTere Regulâ proportionum apud Arithmeticos notiſſima,
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quam Auteam vocant; & habebis intentum. </
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Propoſitio VIII.
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Datis tribus rectia lineis, quartam propor
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tionaleminvenirc.
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Lineis tri
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bus datis,
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pro
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portiona
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lem inveni
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re.
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<
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>SInt tres lineæ rectæ, AB, BC,
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AD, quibus invenienda ſit
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quarta. proportionalis, ad
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quàm ſit tertia AD, ut eſt
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prima AB, ad ſecundam BC. </
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primæ duæ, AB,
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BC, ſecundùm lineam
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rectã
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quæ ſit AC; tertia verò AD,
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cum prima AB, faciatangulum A quemcunque: deinde ex B
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ad D ducatur recta BD, cui per C ducatur parallela CE, oc
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currens rectæ AD productæ, in E puncto. </
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<
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>Dico, DE, eſſe
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quartam proportionalem. </
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<
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>Demonſtrationem vide apud
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Euclidem lib. 6. Propoſit. 12. </
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