Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
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DE MAGNITUDINE TERRÆ.
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quod è duobus rectis reliquum deſideratur, illud adjiciatur anguſo \\ E A S, ſitque is # 50 gr. # 24 ſcr.
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<
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xml:space
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">Id enim ad rei ſummam hic nihil admodum facit. </
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<
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xml:space
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">Ita enim non
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ſemper omnia ad minutum redire mirum nemini videri debet, cum
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turrium quantumvis longe diſſitarum aliqua ſit latitudo, & </
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<
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xml:space
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lo obſervantis ſaltem aliquem notabilem angulum ſubtendat. </
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<
s
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xml:space
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">Ut
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hoc clarius intelligatur, ſtatuamus turrim latitudine trium decem-
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pedarum à nobis abeſſe intervallo decempedarum 4103. </
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<
s
xml:id
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xml:space
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">Concipia-
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mus itaque animo triangulum rectangulum, cujus hæc ipſa ſunt
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crura, unde angulus, quem turris Hagienſis latitudo in turri Lei-
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denſis curiæ ſubtendit, dabitur 0 gr. </
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<
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<
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">31. </
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<
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xml:space
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">ſecundorum. </
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<
s
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xml:space
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">Ac ta-
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metſi per dioptrarum crenas ad mediam turrium latitudinem colli-
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neationem dirigere ſummo ſtudio coneris, radii illic quaſi in an-
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guſtiis verſantes rei viſibilis ſpeciem ita atterunt, ut ipſa pene e
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conſpectu evaneſcat, vel ſaltem minus diſtincte cernatur. </
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<
s
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xml:space
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">Sin ve-
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ro utrinque dioptrarum latera viſu ſtringas, tunc refractio ab hu-
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moribus oculi nata collineanti quoque non nihil illudit. </
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<
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xml:space
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">Ut plane
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nemini intelligenti mirum videri debeat, ipſa adeo ſcrupula non
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ad libitum ſemper redire; </
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<
s
xml:id
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xml:space
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">cum turres a ſe nullum ſplendorem fun-
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dant, quo claritatem aliquam obſervantium oculis affundant. </
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<
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xml:id
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xml:space
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">Quin
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illud potius magis mirandum exiſtimem, tam accurate omnia nobis
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ad calculum veniſſe. </
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<
s
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xml:space
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">Atque ea de cauſa non temere, niſi in an-
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guſtias adactus, ullum angulum in iſtis abacis in conſilium advocem,
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qui ſit valde acutus. </
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<
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xml:space
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">Horum enim dolos, & </
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<
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xml:id
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xml:space
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">in his minimam hal-
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lucinationem pertimeſco, & </
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<
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xml:space
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">ne quid vitii faciant ſedulus circum-
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ſpicio. </
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<
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xml:space
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">In ratione enim minoris inæqualitatis, terminis multum
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differentibus, facilis eſt lapſus & </
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<
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xml:space
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">periculoſus. </
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<
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xml:space
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">Error enim ex mi-
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nore termino in majoribus fit multiplex. </
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<
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xml:space
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">Contra vero, cum angu-
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li omnes erunt majuſculi, tum ratio magis opportuna eſt, & </
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<
s
xml:id
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xml:space
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">errori
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minus obnoxia. </
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<
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xml:space
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">Atque ideo ſi in iſtis anguli ſinguli uno aut altero
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ſcrupulo augeantur, aut multentur, differentia in calculo haud per-
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inde erit notabilis: </
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<
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xml:space
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">Quia ratio horum ſinuum ut proxime eadem ta-
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men manet. </
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<
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xml:space
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">Atque ideo laterum oppoſitorum quantitatis differen-
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tia à juſto non erit admodum diverſa. </
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<
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xml:space
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">Ut ea ſæpe ſit paucorum
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duntaxat pedum, quæ ſemel hic monere viſum eſt, ne ſæ pius no-
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bis eadem eſſent iteranda. </
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<
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xml:space
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">Multa enim occurrunt in turrium </
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