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

Table of contents

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[311.] Problema. XIX. Triangulum E S F, Leida, Gouda, Rotterodamum.
[312.] Problema XX. Triangulum E S V. Leida, Vltrajectum, Gouda.
[313.] Problema XXI. Triangulum E R V, connectens Trajectum, Leidam, Dordracum.
[314.] Problema. XXII. Triangulum E M V. Leida, Oudewatera, Vltrajectum.
[315.] Problema XXIII. Triangulum E M S. Leidam, Oudewateram & Gou-dam connectens.
[316.] Problema XXIV. In Triangulo A E I Haga, Leida, Harlemum.
[317.] Problema XXV. Tab. XV. fig. 15. Diſtantia inter Harlemum & Leidam alio modo quæſita in Triangulo I A E.
[318.] Problema XXVI. Tab. XVI. Triangulum O E V, Amſtelodamum, Leida, Vltrajectum.
[319.] Problema XXVII. Triangulum E I V, Leida, Harlemum, Vltra-jectum.
[320.] Problema XXVIII. Triangulum E I O, Leida, Harlemum, Amſtelo-damum.
[321.] Problema XXIX. Triangulum I O ?, Harlemum, Amſtelodamum Alcmaria.
[322.] Problema XXX. Triangulum E O ? Leida, Amſtelodamum, Alcmaria.
[323.] Problema XXXI. Triangulum M V L, Oude-Watera, Vltrajectum, Bommelia.
[324.] Problema XXXII. Trangulum R V L, Dordracum, Trajectum, Bommelia.
[325.] Problema XXXIII. Triangulum E V L. Leida, Trajectum, Bommelia.
[326.] Problema XXXIV. Triangulum ? E L, Alcmaria, Leida, Bommelia.
[327.] Problema XXXV. Triangulum R L V. Dordracum, Bommelia, Breda.
[328.] Problema XXXVI. Triangulum R S F. Dordracum, Gouda, Rotterodamum.
[329.] Problema XXXVII. Triangulum R T F, Dordracum, Willemſtadium, Rotterodamum.
[330.] Problema XXXVIII. Triangulum R T V. Dordracum, Willemſtadium, Breda.
[331.] Problema XXXIX. Triangulum T V Q Willemſtadium, Breda, Bergaad Somum.
[332.] Problema XL. Triangulum R V Q Dordracum, Breda, Berga ad Somum.
[333.] Problema XLI. Triangulum V L Q Breda, Bommelia, Berga ad Somum.
[334.] Problema XLII. Triangulum E I ?, Leida, Harlemum, Alcmaria.
[335.] Problema XLIII. Triangulum E V ?. Leida, Trajectum, Alcmaria.
[336.] Problema XLIV. Triangulum V L ?. Trajectum, Bommelia, Alcmaria.
[337.] Problema XLV. Triangulum Q L ?. Berga ad Somum, Bommelia, Alcmaria.
[338.] Problema XLVI.
[339.] FINIS.
[340.] INTRODUCTIO AD COHÆ RENTIAM CORPORUM FIRMORUM.
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432418DISSERTATIO11
Angulus V ? L # 2, 5?, 22?.
Problema XLV.
Triangulum Q L ?. Berga ad Somum, Bommelia,
Alcmaria.
22
Per Problema XLI datur latus Q L diſtantia inter \\ Bergam & Bommeliam # 20061, 3.
Per Problema XLIV. datur L ? # 25953, 8.
Per Problemata datur quoque angulus Q L ?, utpote \\ compoſitus ex angulo V L ? per Probl. XLIV # 4, 16?, 12?.
Qui ſubtrahatur ex V L R Prob. XXXII. # 73. 40?. 0.
Reliquus ? L R erit # 69. 23?. 48?.
In Probl. XXXV. eſt V L R # 37. 43?. 0.
In Probl. XLI eſt V L Q. # 9. 26?. 0.
Qui ſubtractus ex priori dat. # 28. 17. 0.
Unde totus Q L ? dabitur # 97 gr. 40?, 48?.
Datis igitur cruribus & angulo ab ipſis compre- \\ henſo dabitur baſis Q ? diſtantia inter Bergam ad \\ Somum & Alcmariam # 34952, 5.
Et angulus L Q ? # 47. 24?, 15?.
Et angulus L ? Q # 34. 54?. 57?.
Problema XLVI.
Cognita diſtantia inter Alcmariam & Bergam ad Somum, inda-
gandum reſtabat, an hæc loca ſub eodem, an ſub diverſo Meri-
diano Terreſtri jacerent, ſi ſub diverſo, ex alterutro loco ducen-
da erat recta parallela circulo latitudinis, quæ partem Meridiani
interciperet:
cujus longitudo ex menſura hactenus tradita eruenda
fuit, tumque altitudine poli in utroque obſervata loco, ejus diffe-
rentia, Gradus, eorumve partem, continet, quorum longitudinem
antea in perticis determinavimus, atque hoc modo quantitas unius
Gradus Terreſtris eruitur, ſed hæc clarius ex ſequentibus intelli-
gentur.

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