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

293. PARS ALTERA.
DE
MAGNITUDINE TERRÆ
SECUNDUM MENSURAM ULTIMAM
SNELLII
ET
NOSTRAM.

Problema I.
Tab. XIV. fig. 2. Triangulum i e a connectens Leydam,
Douſæ arcem, locumque inter hanc & Voor-
ſchooten aſſumtum.

Latus a e accuratiſſime ſupra glaciem menſuratum fuit catenâ, \\ qui labor ter repetitus eſt, ut eo tutius confidi poſſet, fuit \\ vero perticarum # 475, 0, 0
Angulus i a e obſervatus # 54 gr. 36`.
Angulus i e a obſervatus # 89 gr. 31`.
Angulus a i e obſervatus eſt # 35 gr. 53`.
Ex quibus datis per regulas Trigonometriæ inventum eſt latus i e diſtantia Leidæ a Douſiana arce # 660, 5, 7.
Et latus i a # 810, 3, 6.

294. Problema II.
Triangulum a e m, nectens Douſæ arcem, pagum Soeterwoudam,
locumque inter illam & Voor ſchoten aſſumtum
eundem ac in Probl. I.

Eſt obſervatus anguluse a m # 61 gr. 53`. DE MAGNITUDINE TERRÆ. Angulus a e m # 57 gr. 42.
Angulus e m a # 60 gr. 25`.
Latus a e datum # 475, 0, 0
Ex quibus ope Regularum Trigonometriæ ſubducitur e m inter- \\ vallum inter Douſæ arcem & pagum Soeterwoudam # 481, 7, 4.

295. Problema III.
Triangulum i e m, jungens Leidam, Douſæ arcem &
Soeterwoudam.

Obſervatus eſt angulus i e m # 147. gr. 13`.
Datur latus i e in Probl. I. # 660, 5, 7.
Et in Problemate II. datur latus e m # 481, 7, 4.
Adeoque datis duobus lateribus cum angulo intercep- \\ to dabunt regulæ Trigonometricæ
Latus i m # 1097, 1, 0.
Et erit angulus e m i # 19 gr. 1`, 40``.
Et angulus e i m # 13 gr. 45`, 20``.

Adeoque ſecundum hanc menſuram eſt diſtantia inter Leidam & Soeterwoudam 1097 perticarum, 1 pedis, & 0 {17/100} pollicis: aſt Snel-
lius hanc diſtantiam antea determinavit 1092, 3, 3, differentia eſt
4 perticarum 7 pedum, 6 pollicum cum fractione quadam, quæ
differentia admodum notabilis eſt: Commendat vero Snellius fiden-
dum eſſe maxime ultimæ menſuræ, quia capta eſt ſupra glaciem
lævigatiſſimam diſtantia a e, repetitis vicibus & magnâ cum curâ. Quoniam igitur prima baſis totius operis multo longior depre-
henditur, quam Snellius eam primo poſuerat, non poterant
non diſtantiæ reliquorum locorum multum diſcrepare a menſu-
ra ante ſtabilita: Tuto igitur ponemus diſtantiam i m eſſe pertica
rum 1097, 1, 0.

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.

powered by Goobi viewer