Full text: Musschenbroek, Petrus: Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes

Sit ? ? linea Meridiana tranſeunsper Leidam, ? ſpectet Septentrio- \\ nem, ? Meridiem: obſervatur Gouda S ab hac Ortum verſus declinare \\ ita ut angulus ? E S, ſit # 45 gr. 31?.
Obſervatus autem eſt angulus S E O # 88 gr. 21?.
Et per Problema XXX. angulus O E ? # 31 gr. 0?. 30?.
Quare totus ? E ? datur # 164 gr. 52?. 30?.
Unde etiam reliquus ? E ? # 15 gr. 7?. 30?.
Atque ideo demiſſa perpendiculari ? ? erit angu- \\ lus E ? ? # 74 gr. 52?. 30?.
Datur per Problema XXX. ? E # 14730, 5.
Dabitur igitur per doctrinam Triangulorum perpen- \\ dicularis ? ?, differentia Longitudinis # 3843, 5, 7.
Et E ? differentia Latitudinis # 14220. 2.
Rurſus cum detur per Problema XLV. ? Q # 34952. 5.
Datur etiam per Problema XLV. angulus \\ L ? Q # 34 gr. 54?. 57?.
Et per Problema XXXIV angulus L ? E # 39 gr. 10?. 30?.
Atque ideo reliquus E ? Q # 4 gr. 15?. 33?.
Qui additus ad ? ? E # 74 gr. 52?. 30?.
Dabit ? ? Q ſive ? Q ? # 79 gr. 8?. 3?.
Et angulum Q ? ? # 10 gr. 51?. 57?.
Atque ideo Q ? differentia Longitudinis # 6589.
Et ? ? differentia Latitudinis inter Alcmariam & \\ Bergam ad Somum erit # 34326, 7.
Sed poli Alcmariani altitudo eſt, ut Caſſini bene \\ obſervavit, # 52 gr. 38?, 34.
Et poli altitudo Bergæ ad Somum eſt # 51 gr. 28?, 47?.

Quare differentia inter utraſque polorum altitudines eſt 1 Gradus,
9 Minutorum, 47 Secundorum.

Adeoque Gradus Terreſtris conſtabit perticis Rhenolandicis
29514, 2, 3. Nam recta ? ? vix differet a curva (uti Snellius ſu-
pra annotavit) ſecundum rigorem tamen Mathematicum foret ? ? modo chorda portionis circuli 69 minutorum, 47 ſecundorum. Eſt
hæc noſtra menſura major quam Snelliana prima & ſecunda; quippe
prima ponit ? ? 28500 perticarum, & ſecunda 28488. perticarum. Lubet autem noſtram comparare cum ea, quam Celeberrimi Geo-

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