E397 -- Expositio methodorum, cum pro determinanda parallaxi solis ex observato transitu Veneris per solem, tum pro inveniendis longitudinibus locorum super terra, ex observationibus eclipsium solis, una cum calculis et conclusionibus inde deductis
(Exposition of methods, not only for determining the parallax of the sun from an observed transit of Venus across the sun, but also for finding longitudes of places on the earth from observations of eclipses of the sun, together with calculations and conclusions deduced therefrom )
This is actually the joint title of four treatises with separate titles, namely:
- “Methodus
ex observato transitu Veneris per solem, inveniendi parallaxin solis” (pp. 322-334)
- “Methodus ex
eclipsi solari in pluribus locis observata, elementa motus lunae, hincque longitudinem locorum,
super terra accurate determinandi” (pp. 335-349)
- “Calculus eclipsis solaris cum conclusionibus
inde deductis pro determinationibus longitudinum geographicarum” (pp. 350-420)
- “Calculus
observationum circa transitum Veneris per solem institutarum” (pp. 421-554)
Summary:
It is indicated in
the “Summarium dissertationum” that all of these were written by Euler.
They were probably
presented to the St. Petersburg Academy before August 20, 1770.
Publication: - Originally published in Novi Commentarii academiae scientiarum Petropolitanae 14, 1770, pp. 322-554
- Opera Omnia: Series 2, Volume 30, pp. 153 - 231
Documents Available:
Return to the Euler Archive