Clavius, Christoph
,
Geometria practica
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Table of Notes
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V. Aream propoſitæ Ellipſis indagare. # 202
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VI. Aream propoſitæ Parabolæ inueſtigare. # 203
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I. De area Parallelepipedorum, Priſmatum, & Cylindrorum. # 204
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II. De area Pyramidum, & Conorum. # 206
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III. De Area fruſti Pyramidis, & Coni. # 207
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SCHOLIVM. De area variorum ſolidorum. # 209
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IV. De Area quinque corporum Regularium. # 210
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V. De Area ſphæræ, inuentio
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neque ſuperficiei conuexæ eiuſdem ſphæræ. # 218
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I. Quam proportionem habent duæ quælibet partes ali-
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quotæ magnitudinis cuiuſcunque, eandem habent duæ ſimiles partes alterius
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cuiuſuis magnitudinis. # 218
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II. Rectangulum ſub diametro, & circumferentia maxi-
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mi circuli in ſphæra comprehenſum, quadruplum eſt circuli maximi, & ſuper-
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ficiei conuexæ eiuſdem ſphæræ æquale. # 219
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III. Eadem eſt proportio quadrati circumferentiæ circu-
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limaximi in ſphæra ad ſuperficiem ſphæræ, quæ circumferentiæ maximi circuli
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ad diametrum. Item eadem eſt proportio quadrati diametri maximi circuli in
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ſphæra ad ſuperficiem ſphæræ, quæ diametri ad circumferentiam eiuſdem circu-
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li maximi. # 220
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IV. Quadratum circumferentiæ circuli maximi in ſphæra
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ad ſuperficiem ſphæræ conuexam, maiorem proportionem habet, quam 223. ad
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71. minorem vero, quam 22. ad 7. # 221
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V. Quadratum diametri circuli in ſphæra maximi ad ſu-
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perficiem ſphæræ conuexam, maiorem proportionem habet, quam 7. ad 22.
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minorem vero, quam 71. ad 223. # 221
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VI. Proportio cubi ex circumferentia maximi in ſphæra
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circuli deſcripti ad ſphæram, maior eſt, quam 298374. ad 5041. minor autem,
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quam 2904. ad 49. # 221
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VII. Cubus diametri ſphæræ ad ſphæram, maiorem pro-
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portionem habet,
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quam 21. ad 11. minorem verò, quam 426. ad 223. # 222
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VI. De Area ſegmentorum ſphæræ. # 229
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VII. De Area ſphæroidis, eiuſdemque portionum. # 232
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VIII. De Area Conoidis Parabolici. # 232
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IX. De Area Conoidis Hyperbolici. # 233
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X. De Area Doli
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orum. # 233
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XI. De Area corporum omnino regularium. # 234
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XII. De ſuperficie conuexa coni, & cylindri recti. # 235
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