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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page |< < (376) of 795 > >|
390376DISSERTATIO11
Unde per doctrinam triangulorum invenietur \\ V M diſtantia inter Oude Wateram & Trajectum # 4980. # 6.
Et E M diſtantia inter Oude-Wateram & Lei- \\ dam # 7949. # 0.
IX. Problema.
Triangulum E M S. Leida, Oude Watera, Gouda.
22
Iterum diſtantiam inter Leidam & Oude-Wateram libet tentare, \\ ad operis veritatem explorandam, idque aſſumpta tertia Gouda. \\ Datur itaque hic per Problema II, E S diſtantia inter Leidam & \\ Goudam # 5897. # 8.
Ex obſervatis autem angulus S E M # 17 gr. # 23 ſcr.
Et angulus E S M # 125 gr. # 42 ſcr.
Et angulus E M S # 36 gr. # 53 ſcr.
In qua ſumma duo ſcrupula deſiderantur, quæ ita \\ ſupplebo, ut angulus S E M ſit # 17 gr. # 23 ſcr.
Et angulus E S M # 125 gr. # 43 ſcr.
Et angulus E M S # 36 gr. # 53 ſcr.
Quamobrem inde jam per planorum triangulorum doctrinam da- \\ bitur quoque diſtantia inter Oude-Wateram & Goudam, ſive latus \\ S M # 2921. # 3.
Et E M diſtantia inter Leidam & Oude-Wateram # 7962. # 0.
Atqui ea fuit Problemate VII. # 7949. # 0.
Differentia igitur inter has obſervationes intercedit undecim de- \\ cempedarum & ſemis, quæ paulo eſt major ſimul utriuſque turris \\ craſſitudine duplicata. Et ſi quamvis ſecundum octavi proble- \\ matis abacos potius pronuntiaverim, quod illic minimus angulus \\ ſit # 20 gr. # 26 ſcr.
Certe utraque eſt ſatis accurata. Si cui medium aſſumere libeat, \\ per me id quidem ei liceat, ut M E ſit # 7955. # 5.
Verum enim vero ut noſtram induſtriam cunctis probem, at-
que ſumma cum ſedulitate ac diligentia in hoc opere nos verſatos
evidentiſſime oſtendam, novam hic Gæodæſiam exhibeo, qua

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