Clavius, Christoph
,
Geometria practica
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INDEX.
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X. Datum triangulum ex dato puncto in ei{us} latere in quotlib{et} part{es} æqual{es} di-
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uidere. # 262
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XI. Datum triangulum per line{as} vni lateri parallel{as} in quotlib{et} æqual{es} part{es}
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diuidere. # 263
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XII. Datum triangulum per rectam ex puncto extra triangulum dato ductam in
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du{as} part{es} æqual{es} diuidere. # 264
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XIII. Datum par allelogrammum in quotcunque part{es} æqual{es} per line{as} duob{us}
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laterib{us} oppoſitis æquidiſtant{es} diuidere. # 265
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XIV. Datum parallelogrammum per rectam ex puncto ſiue extra, ſiue intra ipſum,
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ſiue in aliquo latere dato ductam bifariam diuidere. # 265
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XV. Inter du{as} rect{as}, du{as} medi{as} proportional{es}, prope verum, inuenire: ex He-
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rone & Apollonio Pergæo: ex Philone Byſantio, ac Philopono: ex Diocle: ac poſtre-
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mo ex Nicomede per lineam conc
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hoideos. # 266. vſque ad 272.
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XVI. Datam figuram planam, vel circulum augere, vel minuere in data propor-
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tione. # 272
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XVII. Datam figuram ſolidam qualemcunque ex ijs, de quib{us} Eucl. in libris Ste-
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reometriæ agi
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t, augere, vel minuere in proportione data. # 273
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XVIII. Inter duos numeros datos tum vnum, tum duos medios proportional{es}
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reperire. # 274
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LEMMA. Si ſint quatuor lineæ continuè proportionales: parallelepipe-
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dum ſub quadrato alterutrius extremarum, & altera extrema comprehenſum,
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æquale eſt cubo mediæ proportionalis, quæ priori extremæ propinquior eſt.
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# 275
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XIX. Radicem cui{us} lib{et} generis extro
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bere. # 276
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EXTRACTIO radicis quadratæ. # 279
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EXTRACTIO radicis cubicæ. # 280
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EXTRACTIO radicis ſurdeſolidæ. # 281
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REGVLA propria extra ctionis radicis cubicæ. # 283
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XX. In numeris non quadratis, non cubis, non zenſizenſis, non ſurdeſolidis, & c.
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radicem veræ propinquam inuenire. # 284
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XXI. Radicem cuiuſque generis ex data minutia extrahere. # 286
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XXII. Radicem quadratam, & cubicam in numeris non quadratis, & non cubi-
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cis per line{as} Geometricè inuenire. # 289
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Propoſitiones.</
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I. Area cui{us} lib{et} trianguli æqualis est rectangulo comprehenſo ſub perpendicula-
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ria
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vertice ad baſem protracta, & dimidiaparte baſis. Item rectangulo comprehenſo
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ſub ſemiſſe perpendicularis, & tota baſe. Ve
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ldenique ſemiſſirectanguli
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ſub tota perpen-
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diculari, & tota baſe comprehenſi. # </
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